(Updated December 2023)
Books:
A. Mostafazadeh, “Dynamical Invariants, Adiabatic Approximation and the Geometric Phase," Nova Science Publications, New York, 2001.
A. Bohm, A. Mostafazadeh, H. Koizumi, Q. Niu, and J. Zwanziger, “The Geometric Phase in Quantum Systems," Springer-Verlag, New York, 2003.
A.
Mostafazadeh, “A First Course in Abstract Mathematics,” Koç University Publications, Istanbul, 2013.
Book Chapter:
A. Mostafazadeh, “Scattering theory and PT-symmetry,” in Parity-time Symmetry and Its Applications, edited by D. Christodoulides and J. Yang, Springer, Singapore, 2018, pages 75-121; arXiv:1711.05450; invited contribution.
Research Articles Published in Journals Covered by Science
Citation Index
During Undergraduate Studies (1985-89)
1. M. Arýk, E. Hizel, and A. Mostafazadeh, "The Schwarzschild solution in non-Abelian Kaluza-Klein theories," Class. Quantum Grav. 7, 1425-1432 (1990).
During Graduate Studies (1989-94)
2. A. Bohm, L. J. Boya, A. Mostafazadeh, and G. Rudolph, “Classification theorem for principal fibre bundles, Berry's phase, and exact cyclic evolution,” J. Geom. Phys. 12, 13-28 (1993).
3. A. Mostafazadeh and A. Bohm, “Topological aspects of the non-Adiabatic Berry phase,” J. Phys. A: Math. Gen. 26, 5473-5479 (1993); hep-th/9309060.
1994
4. A. Mostafazadeh, “Supersymmetry and the Atiyah-Singer Index Theorem I: Peierls brackets, Green's functions and a proof of the Index Theorem via Gaussian superdeterminants,” J. Math. Phys. 35, 1095-1124 (1994); hep-th/9309059.
5. A. Mostafazadeh, “Supersymmetry and the Atiyah-Singer Index Theorem II: The scalar curvature factor in the Schrödinger equation, J. Math. Phys. 35, 1125-1138 (1994); hep-th/9309061.
6. A. Bohm and A. Mostafazadeh, “The relation between the Berry and the Anandan-Aharonov connections for U(N) bundles,” J. Math. Phys. 35, 1463-1470 (1994).
Since Receiving Ph.D. (1994 - present)
7. A. Mostafazadeh, “Spectrum degeneracy of general (p=2)-parasupersymmetric quantum mechanics and parasupersymmetric topological invariants,” Int. J. Mod. Phys. A 11, 1057-1076 (1996); hep-th/9410180.
8. A. Mostafazadeh, “Geometric phase, bundle classification, and group representation,” J. Math. Phys. 37, 1218-1233 (1996); Erratum J. Math. Phys. 40, 3697 (1999); hep-th/9312173.
9. A. Mostafazadeh, “Para-generalization of Peierls bracket quantization,” Int. J. Mod. Phys. A 11, 2941-2955 (1996); hep-th/9508061.
10. A. Mostafazadeh, “Parabose-parafermi supersymmetry,” Int. J. Mod. Phys. A 11, 2957-2975 (1996); hep-th/9508106.
11. A. Mostafazadeh, “Scalar curvature factor in the Schrödinger equation and scattering on a curved surface,” Phys. Rev. A 54, 1165-1170 (1996); hep-th/9602095.
1997
12. V. Karimipour and A. Mostafazadeh, “Lattice topological field theory on non-orientable surfaces,” J. Math. Phys. 38 , 49-66 (1997); hep-th/9508041.
13. A. Mostafazadeh, “Quantum adiabatic approximation and the geometric phase,” Phys. Rev. A 55, 1653-1664 (1997); hep-th/9606053.
14. A. Mostafazadeh, “Adiabatic Product Expansion,” Phys. Lett. A 228, 7-12 (1997); quant-ph/9606032.
15. A. Mostafazadeh, “Parasupersymmetric quantum mechanics and indices of Fredholm operators,” Int. J. Mod. Phys. A 12, 2725-39 (1997); hep-th/9603163.
16. A. Mostafazadeh, “Comment on: Cyclic quantum evolution dependence on the Hamiltonian and geometric phase,” Phys. Rev. A 55, 4640 (1997); quant-ph/9606022.
17. A. Mostafazadeh, “Inverting time-dependent harmonic oscillator potential by a unitary transformation and a new class of exactly solvable oscillators,” Phys. Rev. A 55, 4084-89 (1997); quant-ph/9611053.
18. A. Mostafazadeh, “Quantum canonical transformations and exact solution of the Schrödinger equation,” J. Math. Phys. 38, 3489-96 (1997); quant-ph/9611052.
19. A. Mostafazadeh, “Quantum adiabatic approximation, quantum action, and Berry's phase,” Phys. Lett. A 232, 395-98 (1997); quant-ph/9606021.
20. A. Mostafazadeh, “Non-Abelian geometrical phase for general three-dimensional quantum systems,” J. Phys. A: Math. Gen. 30, 7525-35 (1997); quant-ph/9608031.
1998
21. A. Mostafazadeh, “Exact semiclassical evolutions in relativistic and nonrelativistic scalar quantum mechanics and quantum cosmology,” Nucl. Phys. B 509, 529-555 (1998); gr-qc/9701061.
22. A. Mostafazadeh, “Time-dependent diffeomorphisms as quantum canonical transformations and the time-dependent oscillator,” J. Phys. A: Math. Gen. 31, 6495-6503 (1998); quant-ph/9807002.
23. A. Mostafazadeh, “Two-component formulation of the Wheeler-DeWitt equation,” J. Math. Phys. 39, 4499-4512 (1998); gr-qc/9610012.
24. A. Mostafazadeh, “Relativistic adiabatic approximation and geometric phase,” J. Phys. A: Math. Gen. 31, 7829-45 (1998); quant-ph/9807003.
25. A. Mostafazadeh, “Non-Abelian geometric phase, Floquet theory, and dynamical invariants,” J. Phys. A: Math. Gen. 31, 9975-82 (1998); quant-ph/9810064.
1999
26. A. Mostafazadeh, “Generalized adiabatic product expansion: A nonperturbative method of solving time-dependent Schrödinger equation,” J. Math. Phys., 40, 3311-26 (1999); quant-ph/9904026.
27. A. Mostafazadeh, “Noncyclic geometrical phase and its non-Abelian generalization,” J. Phys. A: Math. Gen. 32, 8157-8171 (1999); quant-ph/9909093.
28. A. Mostafazadeh, “Comment on identical motion in classical and quantum mechanics,” Phys. Rev. A 60, 5144-5145 (1999); quant-ph/9909092.
29. A. Mostafazadeh, “Perturbative calculation of the adiabatic geometric phase and a particle in a well with moving walls,” J. Phys. A: Math. Gen. 32, 8325-8340 (1999); quant-ph/9910104.
30. A. Mostafazadeh, “A new class of adiabatic cyclic states and geometric phases for Non-Hermitian Hamiltonians,” Phys. Lett. A 264, 11-17 (1999); quant-ph/9911003.
2000
31. A. Mostafazadeh and K. Aghababei Samani, “Topological symmetries,” Mod. Phys. Lett. A 15, 175-184 (2000); hep-th/0003108.
32. A. Mostafazadeh, “Comment on the possibility of a geometric constraint in the Schrödinger quantum mechanics,” Mod. Phys. Lett. A 15, 2129-2130 (2000); quant-ph/0012027.
2001
33. K. Aghababei Samani and A. Mostafazadeh, “Quantum mechanical symmetries and topological invariants,” Nucl. Phys. B 595, 467-492 (2001); hep-th/0007008.
34. A. Mostafazadeh, “Supersymmetric dynamical invariants,” J. Phys. A: Math. Gen. 34, 4493-4506 (2001); quant-ph/0104071.
35. A. Mostafazadeh, “Variational Sturmian approximations: A nonperturbative method of solving time-independent Schrödinger equation,” J. Math. Phys. 42, 3372-3389 (2001); quant-ph/0105047.
36. A. Mostafazadeh, “Geometric phases, symmetries of dynamical invariants, and exact solution of the Schrödinger equation,” J. Phys. A: Math. Gen. 34, 6325-6338 (2001); quant-ph/0101010.
37. A. Mostafazadeh, “On the dynamical invariants and the geometric phase for a general spin system in a changing magnetic field,” Phys. Lett. A 287, 187-189 (2001); quant-ph/0107063.
38. A. Mostafazadeh, “On the representation theory of orthofermions and orthosupersymmetric realization of parasupersymmetry and fractional supersymmetry,” J. Phys. A: Math. Gen. 34, 8601-8609 (2001); math-ph/0110013.
2002
39. A. Mostafazadeh, “Pseudo-Hermiticity versus PT-symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian,” J. Math. Phys. 43, 205-214 (2002); math-ph/0107001.
40. A. Mostafazadeh, “On a Z_3-graded generalization of the Witten index,” Nucl. Phys. B 624, 500-508 (2002); hep-th/0112069.
41. K. Aghababei Samani and A. Mostafazadeh, “On the statistical origin of topological symmetries,” Mod. Phys. Lett. A 17, 131-140 (2002); hep-th/0105013.
42. A. Mostafazadeh, “Pseudo-Hermiticity versus PT-symmetry II: A complete characterization of non-Hermitian Hamiltonians with a real spectrum,” J. Math. Phys. 43, 2814-2816 (2002); math-ph/0110016.
43. A. Mostafazadeh, “Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries,” J. Math. Phys. 43, 3944-3951 (2002); math-ph/0203005.
44. A. Mostafazadeh, “Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians,” Nucl. Phys. B 640, 419-434 (2002); math-ph/0203041.
45. A. Mostafazadeh, “On the Pseudo-Hermiticity of a class of PT-symmetric Hamiltonians in one Dimension,” Mod. Phys. Lett. A 17, 1973-1977 (2002); math-ph/0204013.
46. A. Mostafazadeh, “Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians,” J. Math. Phys. 43, 6343-6352 (2002); math-ph/0207009; Erratum: ibid, 44, 943 (2003); math-ph/0301030.
2003
47. A. Mostafazadeh, “Hilbert space structures on the solution space of Klein-Gordon type evolution equations,” Class. Quantum Grav. 20, 155-171 (2003); math-ph/0209014.
48. A. Mostafazadeh, “Pseudo-Hermiticity and generalized PT- and CPT-symmetries,” J. Math. Phys. 44, 974-989 (2003); math-ph/0209018.
49. A. Mostafazadeh, “Exact PT-symmetry is equivalent to Hermiticity,” J. Phys. A: Math. Gen. 36, 7081-7091 (2003); quant-ph/0304080.
2004
50. A. Mostafazadeh, “Quantum mechanics of Klein-Gordon-type fields and quantum cosmology,” Ann. Phys. (New York) 309, 1-48 (2004); gr-qc/0306003.
51. A. Mostafazadeh, “Time-dependent Hilbert spaces, geometric phases, and generalized covariance in quantum mechanics,” Phys. Lett. A 320, 375-382 (2004); quant-ph/0306200.
52. A. Mostafazadeh, “Pseudo-unitary operators and pseudo-unitary quantum dynamics,” J. Math. Phys. 45, 932-946 (2004); math-ph/0302050.
53. A. Mostafazadeh, “Statistical origin of pseudo-Hermitian supersymmetry and pseudo-Hermitian fermions,” J. Phys. A: Math. Gen. 37, 10193-10207 (2004); quant-ph/0404025.
54. A. Mostafazadeh and A. Batal, “Physical aspects of pseudo-Hermitian and PT-symmetric quantum mechanics,” J. Phys. A: Math. Gen. 37, 11645-11679 (2004); quant-ph/0408132.
2005
55. A. Mostafazadeh, “Pseudo-Hermitian description of PT-symmetric systems defined on a complex contour,” J. Phys. A: Math. Gen. 38, 3213-3234 (2005); quant-ph/0410012.
56. A. Mostafazadeh, “Comment on quartic Anharmonic oscillator and non-Hermiticity,” Phys. Rev. A 71, 046101 (2005).
57. A. Mostafazadeh, “PT-symmetric cubic anharmonic oscillator as a physical model,” J. Phys. A: Math. Gen. 38, 6557-6569 (2005); quant-ph/0411137.
58. A. Mostafazadeh, “Classical and quantum fermions linked by an algebraic deformtion,” Int. J. Geom. Meth. Mod. Phys. 2, 777-782 (2005); math-ph/0312065.
59. A. Mostafazadeh, “Application of pseudo-Hermitian quantum mechanics to a PT-symmetric Hamiltonian with a continuum of scattering states,” J. Math. Phys. 46, 102108 (2005), 16 pages; quant-ph/0506094.
2006
60. A. Mostafazadeh, “A physical realization of the generalized PT-, C-, and CPT-symmetries and the position operator for Klein-Gordon fields,” Int. J. Mod. Phys. A 21, 2553-2572 (2006); quant-ph/0307059.
61. A. Mostafazadeh, “Metric operator in pseudo-Hermitian quantum mechanics and the imaginary cubic potential,” J. Phys. A: Math. Gen. 39, 10171-10188 (2006); quant-ph/0508195.
62. A. Mostafazadeh, “Differential realization of pseudo-Hermiticity: A quantum mechanical analog of Einstein’s field equation,” J. Math. Phys. 47, 072103 (2006), 11 pages; quant-ph/0603023.
63. A. Mostafazadeh, “Real description of classical Hamiltonian dynamics generated by a complex potential,” Phys. Lett. A 357, 177-180 (2006); quant-ph/0603091.
64. A. Mostafazadeh and F. Zamani, “Quantum mechanics of Klein-Gordon fields I: Hilbert space, localized states, and chiral symmetry,” Ann. Phys. (N.Y.) 321, 2183-2209 (2006); quant-ph/0602151.
65. A. Mostafazadeh and F. Zamani, “Quantum mechanics of Klein-Gordon fields II: Relativistic coherent states,” Ann. Phys. (N.Y.), 321, 2210-2241 (2006); quant-ph/0602161.
66. A. Mostafazadeh, “Is weak pseudo-Hermiticity weaker than pseudo-Hermiticity?”, J. Math. Phys. 47, 092101 (2006), 7 pages; quant-ph/0605110.
67. A. Mostafazadeh, “Krein-space formulation of PT-symmetry, CPT-inner products, and pseudo-Hermiticity,” Czech J. Phys. 56, 919-933 (2006); quant-ph/0606173.
68. A. Mostafazadeh, “Delta-function potential with a complex coupling,” J. Phys. A: Math. Gen. 39, 13495-13506 (2006); quant-ph/0606198.
2007
69. A. Mostafazadeh, “Time-dependent pseudo-Hermitian Hamiltonians defining a unitary quantum system and uniqueness of the metric operator,'' Phys. Lett. B 650, 208-212 (2007); arXiv:0706.1872.
70. A. Mostafazadeh, “Quantum Brachistochrone problem and the geometry of the state space in pseudo-Hermitian quantum mechanics,” Phys. Rev. Lett. 99, 130502 (2007), 4 pages; arXiv:0706.3844.
71. A. Mostafazadeh, “Path-integral formulation of pseudo-Hermitian quantum mechanics and the role of the metric operator,” Phys. Rev. D 76, 067701 (2007), 4 pages; arXiv:0708.3978.
2008
72. A. Mostafazadeh and F. Loran, “Propagation of electromagnetic waves in linear media and pseudo-Hermiticity,” Europhys. Lett. 81, 10007 (2008), 6 pages; arXiv:physics/0703080.
73. A. Mostafazadeh, “QT-symmetry and weak pseudo-Hermiticity,” J. Phys. A: Math. Theo., 41, 055304 (2008), 8 pages; arXiv:0710.4879.
74. A. Mostafazadeh, “Metric operators for quasi-Hermitian Hamiltonians and symmetries of equivalent Hermitian Hamiltonians,” J. Phys. A: Math. Theo., 41, 244017 (2008), 5 pages; arXiv:0707.3075.
75. H. Mehri-Dehnavi and A. Mostafazadeh, “Geometric phase for non-Hermitian Hamiltonians and its holonomy interpretation,” J. Math. Phys. 49, 082105 (2008), 17 pages; arXiv:0807.3405.
2009
76. A. Mostafazadeh, “On Hamiltonians generating optimal-speed evolutions,” Phys. Rev. A 79, 014101 (2009), 4 pages; arXiv:0804.4755.
77. A. Mostafazadeh and H. Mehri-Dehnavi, “Spectral singularities, Biorthonormal systems, and a two-parameter family of complex point interactions,” J. Phys. A 42, 125303 (2009), 27 pages; arXiv:0901.3563.
78. F. Zamani and A. Mostafazadeh, “Quantum mechanics of Proca fields,” J. Math. Phys. 50, 052302 (2009), 35 pages; arXiv:0805.1651.
79. A. Mostafazadeh, “Spectral singularities of complex scattering potentials and infinite reflection and transmission coefficients at real energies,” Phys. Rev. Lett., 102, 220402 (2009), 4 pages; arXiv:0901.4472.
80. A. Mostafazadeh, “Resonance phenomenon related to spectral singularities, complex barrier potential, and resonating waveguides,” Phys. Rev. A 80, 032711 (2009), 9 pages; arXiv:0908.1713.
2010
81. A. Mostafazadeh, “Pseudo-Hermiticity and electromagnetic wave propagation in dispersive media,” Phys. Lett. A 374, 1307-1310 (2010); arXiv:1001.2675.
82. H. Mehri-Dehnavi, A. Mostafazadeh, and A. Batal, “Application of pseudo-Hermitian quantum mechanics to a complex scattering potential with point interactions,” J. Phys. A 43, 145301 (2010), 19 pages; arXiv:1002.1221.
83. A. Mostafazadeh, and G. Scolarici, “Pseudo-Hermiticity and electromagnetic wave propagation: The case of anisotropic and lossy media,” Phys. Lett. A 374, 2401-2405 (2010); arXiv:1004.1904.
84. A. Mostafazadeh, “A Hamiltonian formulation of the Pais-Uhlenbeck oscillator that yields a dtable and unitary quantum system,” Phys. Lett. A 375, 93-98 (2010); arXiv:1008.4678.
85. A. Mostafazadeh, “Pseudo-Hermitian representation of quantum mechanics,” Int. J. Geom. Methods Mod. Phys. 7, 1191-1306 (2010) ; arXiv:0810.5643.
2011
86. A. Mostafazadeh, “Optical spectral singularities as threshold resonances,” Phys. Rev. A 83, 045801 (2011); arXiv:1102.4695
87. A. Mostafazadeh, “Semiclassical analysis of spectral singularities and their applications in optics,” Phys. Rev. A 84, 023809 (2011), 8 pages; arXiv:1105.4462
88. A. Mostafazadeh, “Spectral singularities of a general point interaction,” J. Phys. A: Math. Theor. 44, 375302 (2011), 9 pages; arXiv:1107.1875.
89. A. Mostafazadeh and M. Sarisaman, “Spectral singularities of a complex spherical barrier potential and their optical realization,” Phys. Lett. A 375, 3387-3391 (2011); arXiv:1107.1873.
90. A. Mostafazadeh, “Imaginary-scaling versus indefinite-metric quantization of the Pais-Uhlenbeck Oscillator,” Phys. Rev. D 84, 105018 (2011), 7 pages; arXiv: 1107.1874.
2012
91. A. Mostafazadeh and S. Rostamzadeh, “Perturbative analysis of spectral singularities and their optical realizations,” Phys. Rev. A 86, 022103 (2012), 9 pages; arXiv: 1204.2701.
92. A. Mostafazadeh and M. Sarisaman, “Optical spectral singularities and coherent perfect absorption in a two-layer spherical medium,” Proc. R. Soc. A 468, 3224-3246 (2012); arXiv:1205.5472.
93. A. Mostafazadeh, “Self-dual spectral singularities and coherent perfect absorbing lasers without PT-symmetry,” J. Phys. A: Math. Theor. 45, 444024 (2012), 10 pages; arXiv:1205.4560.
2013
94. A. Mostafazadeh, “Invisibility and PT-symmetry,” Phys. Rev. A 87, 012103 (2013), 8 pages; arXiv:1206.0116.
95. A. Mostafazadeh, “Pseudo-Hermitian quantum mechanics with unbounded metric operators,” Phil. Trans. R. Soc. A 371, 20120050 (2013), 7 pages; arXiv: 1203.6241.
96. A. Mostafazadeh and M. Sarisaman, “Spectral singularities and whispering gallery modes of a cylindrical gain medium,” Phys. Rev. A 87, 063834 (2013), 9 pages; arXiv: 1305.7436.
97. A. Mostafazadeh, “Nonlinear spectral singularities for confined nonlinearities,” Phys. Rev. Lett. 110, 260402 (2013); arXiv: 1303.2501.
98. A. Mostafazadeh, “Nonlinear spectral singularities of a complex barrier potential and the lasing threshold condition,” Phys. Rev. A 87, 063838 (2013), 4 pages; arXiv: 1303.4874.
99. A. Mostafazadeh and M. Sarisaman, “Spectral singularities in the surface modes of a spherical gain medium,” Phys. Rev. A 88, 033810 (2013), 8 pages; arXiv: 1308.2897.
2014
100. A. Mostafazadeh, “A dynamical formulation of one-dimensional scattering theory and its applications in optics,” Ann. Phys. (NY) 341, 77-85 (2014); arXiv: 1310.0592.
101. A. Mostafazadeh, “Transfer matrices as non-unitary S-matrices, multimode unidirectional invisibility, and perturbative inverse scattering,” Phys. Rev. A 89, 012709 (2014), 8 pages; arXiv: 1310.0619.
102. A. Mostafazadeh, “Adiabatic approximation, semiclassical scattering, and unidirectional invisibility,” J. Phys. A: Math. Theor. 47, 125301 (2014), 13 pages; arXiv: 1401.4315.
103. A. Mostafazadeh, “Adiabatic series expansion and higher-order semiclassical approximations in scattering theory,” J. Phys. A: Math. Theor. 47, 345302 (2014), 7 pages; arXiv: 1402.6458.
104. A. Mostafazadeh, “Unidirectionally invisible potentials as local building blocks of all scattering potentials,” Phys. Rev. A 90, 023833 (2014), 5 pages; Addendum: Phys. Rev. A 90, 055803 (2014), 2 pages; arXiv: 1407.1760.
105. A. Mostafazadeh, “Spectral singularities and CPA-laser action in a weakly nonlinear PT-symmetric bilayer slab,” Stud. App. Math. 133, 353-372 (2014); arXiv: 1404.1737.
106. A. Mostafazadeh, “Generalized unitarity and reciprocity relations for PT-symmetric scattering potentials,” J. Phys. A: Math. Theor. 47, 505303 (2014), 6 pages; arXiv: 1405.4212.
2015
107. A. Mostafazadeh and M. Sarisaman, “Lasing threshold condition for oblique TE and TM modes, spectral singularities, and coherent perfect absorption,” Phys. Rev. A 91, 043804 (2015), 9 pages; arXiv: 1501.06767.
108. F. Loran and A. Mostafazadeh, “Composition of transfer matrices for potentials with overlapping support," Ann. Phys. (NY) 359, 230-242 (2015); arXiv: 1503.04136.
109. A. Mostafazadeh, “Active invisibility cloaks in one dimension,” Phys. Rev. A 91, 063812 (2015), 6 pages; arXiv: 1504.01756.
110. A. Mostafazadeh, “Perturbative unidirectional invisibility,” Phys. Rev. A 92, 023831, (2015), 10 pages; arXiv: 1507.02085.
2016
111. A. Mostafazadeh, “Point interactions, metamaterials, and PT-symmetry," Ann. Phys. (NY) 368, 56-69 (2016); arXiv: 1508.01699.
112. F. Loran and A. Mostafazadeh, “Transfer matrix formulation of scattering theory in two and three dimensions,” Phys. Rev. A 93, 042707 (2016), 9 pages; arXiv:1511.01404 .
113. F. Loran and A. Mostafazadeh, “Unidirectional invisibility and nonreciprocal transmission in two and three dimensions,” Proc. R. Soc. A 472, 20160250 (2016), 15 pages; arXiv:1605.01225
114. A. Mostafazadeh, “Dynamical theory of scattering, exact unidirectional invisibility, and truncated ς e-2ikx potential," J. Phys. A: Math. Theor. 49, 445302 (2016), 16 pages; arXiv: 1605.06292.
115. A. Mostafazadeh and M. Sarisaman, “Spectral singularities in the TE and TM modes of a PT-symmetric slab system: Optimal conditions for realizing a CPA-laser," Ann. Phys. (NY) 375 265–287 (2016); arXiv: 1606.00412.
2017
116. H. Babaei and A. Mostafazadeh, “Quantum mechanics of a photon,” J. Math. Phys. 58, 082302 (2017), 28 pages; arXiv: 1608.06479
117. H. Ghaemi-Dizicheh, A. Mostafazadeh, and M. Sarisaman,“Nonlinear spectral singularities and laser output intensity,” J. Opt. 19, 105601 (2017), 10 pages; arXiv: 1702.07185.
118. A. Mostafazadeh and N. Oflaz, “Unidirectional reflection and invisibility in nonlinear media with an incoherent nonlinearity,” Phys. Lett. A 381, 3548-3552 (2017); arXiv: 1709.05887.
119. F. Loran and A. Mostafazadeh, “Perfect broad-band invisibility in isotropic
media with gain and loss,” Opt. Lett. 42,
5250-5253 (2017); arXiv:1705.00500.
120. F. Loran and A. Mostafazadeh, “Class of exactly solvable scattering
potentials in two dimensions, entangled-state pair generation, and a
grazing-angle resonance effect,” Phys. Rev. A 96, 063837 (2017), 6 pages; arXiv: 1711.01132.
2018
121. K. Doðan, A. Mostafazadeh, and M. Sarisaman, “spectral
singularities, threshold gain, and output intensity for a slab laser with
mirrors,” Ann.
Phys. (NY) 392, 165-178 (2018); arXiv:
1710.02825.
122. F. Loran and A. Mostafazadeh, “Exact solution of the two-dimensional scattering problem for a Class of δ-function potentials supported on subsets of a line,” J. Phys. A: Math. Theor. 51, 335302 (2018), 15 pages; arXiv: 1708.06003.
123. A.
Mostafazadeh, “Energy observable for a quantum system with a dynamical
Hilbert space and a global geometric extension of quantum theory," Phys.
Rev. D 98, 046022 (2018), 18 pages; arXiv:
1803.04175.
124. N.
Oflaz , A. Mostafazadeh, and M. Ahmady, “Scattering due to geometry: The
case of a spinless particle moving on an asymptotically flat embedded surface,” Phys. Rev. A 98, 022126 (2018), 9 pages; arXiv:
1807.10099.
125. A. Mostafazadeh, H. Ghaemi-Dizicheh, and S.
Hajizadeh,“ Blowing up light: A
nonlinear amplification scheme for electromagnetic waves,” J. Opt. Soc. Am. B 35,
2986-2993 (2018); arXiv: 1807.00644.
2019
126. A. Mostafazadeh,“Nonlinear scattering and its transfer matrix formulation in one dimension,” Eur. Phys. J. Plus 134, 16 (2019), 12 pages; arXiv: 1806.02610.
127. F. Loran and A. Mostafazadeh, “Potentials
with identical dcattering properties below a critical energy,” J. Math. Phys. 60,
012102 (2019), 6 pages; arXiv: 1902.04297.
128. V. Kalantarov, A. Mostafazadeh, and N. Oflaz, “Blow-up
solutions of Helmholtz equation for a Kerr slab with a complex linear and
nonlinear permittivity,” J. Math. Phys. 60, 043508 (2019), 4 pages; arXiv:
1810.03531.
129. M. A. Simón, A. Buendía, A. Kiely, A.
Mostafazadeh, and J. G. Muga, “S-matrix
pole symmetries for non-Hermitian scattering Hamiltonians,” Phys. Rev. A 99,
052110 (2019) , 12 pages; arXiv:
1811.06270.
130. H. V. Bui and A. Mostafazadeh, “Geometric scattering of a scalar particle
moving on a curved surface in the presence of point defects,” Ann. Phys. (NY) 407,
228-249 (2019); arXiv: 1905.01808.
131. F. Loran and A. Mostafazadeh, “Exactness
of the Born approximation and broadband unidirectional invisibility in two
dimensions,” Phys. Rev. A 100, 053846 (2019), 6 pages; arXiv:
1904.07737.
132. A. Mostafazadeh, “Solving scattering problems in the half-line using methods developed
for scattering in the full line,” Ann. Phys. (NY) 411, 167980 (2019), 17 pages; arXiv:
1910.07382.
2020
133. F. Loran and A. Mostafazadeh, “Transfer-matrix formulation of the scattering of electromagnetic waves and broadband invisibility in three dimensions,” J. Phys. A: Math. Theor. 53, 165302 (2020), 30 pages; arXiv: 1901.09093.
134. A. Mostafazadeh, “Time-dependent pseudo-Hermitian
Hamiltonians and a hidden geometric aspect of quantum mechanics,” Entropy 22, 471 (2020), 24 pages, Invited paper; arXiv:
2004.05254 ; invited paper.
135. H. Ghaemi-Dizicheh, A. Mostafazadeh, and M. Sarisaman, “Spectral singularities and tunable slab lasers with 2D material coating,” J. Opt. Soc. Am. B 37, 2128-2138 (2020); arXiv: 2005.13052.
136. F. Loran and A. Mostafazadeh, “Transfer matrix for
long-range potentials,” J. Phys. A: Math. Theor. 53, 395303 (2020), 23 pages; arXiv: 2006.02989.
137. B. Azad, F. Loran, and A. Mostafazadeh, “Transmission of low-energy scalar waves through a
traversable wormhole,” Eur. Phys. J. C 80,
1097 (2020), 12 pages; arXiv:
2010.15023.
2021
138. H. V. Bui, A. Mostafazadeh, and S. Seymen, “Geometric scattering in the presence of line defects,” Eur. Phys. J.
Plus 136, 109 (2021), 17 pages; arXiv: 2012.06395.
139. F. Loran and A. Mostafazadeh, “Dynamical formulation of low-energy scattering in one
dimension,” J. Math. Phys. 62,
042103 (2021), 18 pages; arXiv:
2102.06084.
140. F. Loran and A. Mostafazadeh, “Low-frequency
scattering defined by the Helmholtz equation in one dimension,” J. Phys. A: Math. Theor. 54,
315204 (2021), 23 pages; arXiv:
2105.07895.
141. F. Loran and A. Mostafazadeh, “Fundamental
transfer matrix and dynamical formulation of stationary scattering in two and
three dimensions,” Phys. Rev. A 104, 032222 (2021), 18 pages; arXiv: 2109.06528.
142. H. V. Bui, F. Loran, and A. Mostafazadeh, “Scattering by a collection of
δ-function point and parallel line defects in two dimensions,” Ann. Phys. (NY) 434, 168649 (2021), 16 pages; arXiv:
2110.01498.
2022
143. F. Loran and A. Mostafazadeh, “Exceptional points and pseudo-Hermiticity
in real potential scattering,” SciPost
Phys. 12, 109 (2022), 25 pages; arXiv: 2110.05884.
144. F. Loran and A. Mostafazadeh, “Renormalization of multi-delta-function
point scatterers in two and three dimensions, the coincidence-limit problem,
and its resolution,” Ann. Phys. (NY) 443, 168966 (2022); arXiv:
2204.09554.
145. F. Loran and A. Mostafazadeh, “Singularity-free treatment of
delta-function point scatterers in two dimensions and its conceptual
implications,” J. Phys. A: Math. Theor. 55,
305303 (2022); arXiv:
2206.09763.
146. F. Loran and A. Mostafazadeh, “Propagating-wave approximation in
two-dimensional potential scattering,” Phys. Rev. A 106, 032207
(2022); arXiv: 2204.05153.
147. F. Loran, A. Mostafazadeh, S. Seymen, and O. T. Turgut,
“Comment
on ‘Scattering of light by a parity-time-symmetric dipole beyond the first Born
approximation’,” Phys. Rev. A 106, 037501 (2022); arXiv:
2204.09550.
148. F. Loran and A. Mostafazadeh, “Existence of the transfer matrix for a
class of nonlocal potentials in two dimensions,” J. Phys. A: Math. Theor. 55,
435202 (2022); arXiv:
2207.10054.
2023
149. F. Loran and A. Mostafazadeh, “Fundamental transfer matrix for
electromagnetic waves, scattering by a planar collection of point scatterers,
and anti-PT-symmetry,” Phys. Rev. A 107, 012203 (2023); arXiv: 2212.03205.
150. F. Loran and A. Mostafazadeh, “General method for solving
electromagnetic radiation problem in an arbitrary linear medium,” Phys. Rev. A 108, 032211 (2023); arXiv: 2308.08557.
151. F. Loran and A. Mostafazadeh, “Broadband directional invisibility,” Appl. Phys. Lett 123, 191104 (2023) arXiv: 2308.03689; invited paper.
2024
152. F. Loran and A. Mostafazadeh, “Exactness of
the first Born approximation in electromagnetic scattering,” Prog. Theor. Exp.
Phys. 2024, ptae008 (2024), DOI:
10.1093/ptep/ptae008; arXiv: 2307.10819.
153. A. Mostafazadeh, “Consistent treatment of quantum systems
with a time-dependent Hilbert space,” Entropy, 26, 314 (2024); doi.org/10.3390/e26040314, arXiv: 2404.07038; invited paper.
Articles Published in Conference Proceedings Covered by Science
Citation Index
154. A. Mostafazadeh, “Two-component formulation of the Wheeler-DeWitt equation for FRW-massive scalar field minisuperspace,” Particles and the Universe, Proceedings of the Twelfth Lake Louise Winter Institute, held in Lake Lousie, Canada, Feb. 16-22, 1997, editors: A. Astbury, B. A. Campbell, F. C. Khanna, and J. L. Pinfold, World Scientific, 1998, pp. 545-551.
155. A. Mostafazadeh and K. Aghababaei Samani, “Topological generalizations of supersymmetry” Nucl. Phys. B (Proc. Suppl.) 104, 251-251 (2002), contributed to the conference on Quantum Gravity and Spectral Geometry, held in Naples, Italy, July 1-6, 2001.
156. A. Mostafazadeh, “Zn-graded topological generalizations of dupersymmetry and the orthofermion algebra,” Institute of Physics Conference Series 173, 459-462 (2003), Group 24: Physical and Mathematical Aspects of Symmetries, Proceedings of the 24th International Colloquium on Group Theoretical Methods in Physics, held in Paris, France, 15-20 July 2002, editors: J.-P. Gazeau, R. Kerner, J.-P. Antoine, S. Metens, and J.-Y. Thibon; hep-th/0303094.
157. A. Mostafazadeh, “Is pseudo-Hermitian quantum mechanics an indefinite-metric quantum theory?” Czech J. Phys. 53, 1079-1084 (2003), contributed to 12th International Colloquium on Quantum Groups and Integrable Systems, held in Prague, June 15-17, 2003; quant-ph/0308028.
158. A. Mostafazadeh, “Wave function of the universe and its meaning,” Czech J. Phys. 54, 93-99 (2004), contributed to the 1st International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, held in Prague, June 19-20, 2003; gr-qc/0308029.
159. A. Mostafazadeh, “PT-symmetric quantum mechanics: A precise and consistent formulation,” Czech J. Phys. 54, 1125-1132 (2004), contributed to the 2nd International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, held in Prague, June 15-17, 2004; quant-ph/0407213.
160. A. Mostafazadeh, “Pseudo-Hermitian supersymmetry: A brief review,” Czech J. Phys. 54, 1371-74 (2004), contributed to 13th International Colloquium on Quantum Groups and Integrable Systems, held in Prague, June 17-19, 2004.
161. A. Mostafazadeh, “Pseudo-Hermiticity, PT-symmetry, and the metric Operator,” Czech J. Phys. 55, 1157-1160 (2005), contributed to the 3rd International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, held in Istanbul, June 20-22, 2005; quant-ph/0508214.
162. A. Mostafazadeh, “Non-Hermitian Hamiltonians with a real spectrum and their physical applications,” Pramana-J. Phys. 73, 269-277 (2009), contributed to Homi Bhabha Centenary Conference on Non-Hermitian Hamiltonians in Quantum Physics (8th International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics), held in Mumbai, January 13-16, 2009, arXiv:10909.1654, pdf.
163. A. Mostafazadeh, “Conceptual aspects of PT -symmetry and pseudo-Hermiticity: A status report,” Phys. Scr. 82, 038110 (2010), 6 pages, contributed to Workshop on Nonstationary Quantum Systems, held in Brasilia, Brazil, October 19-23, 2009; arXiv:1008.4680.
Articles Published in other Conference Proceedings
164. A. Mostafazadeh, “Topology of parameter space bundle and the non-adiabatic Berry phase”, Group Theoretical Methods in Physics, Proceedings of the XIX International Colloquium, held in Salamanca, Spain, June 1992, editors: M. A. del Olmo, M. Santander, and J. Mateos-Guilarte, vol. II, pp. 471-4.
165. A. Mostafazadeh, “A brief review of fibre bundles and their classification,” Integrable Systems, Quantum Groups, and Quantum Field Theories, NATO ASI Series, editors: L. A. Ibort and M. A. Rodriguez, Kluwer Academic Publishers, 1993, pp. 408-15.
166. A. Mostafazadeh, “Quantization of paraclassical systems of order p=2 and parabose- parafermi supersymmetry,” Turkish J. Phys. 21, 478-483 (1997), contributed to the Barut Memorial Conference on Group Theory in Physics, held in Edirne, Turkey, Dec. 22-29, 1995.
167. A. Mostafazadeh, “A new semiclassical perturbation theory,” Proceedings of 7th Canadian Conference on General Relativity and Relativistic Astrophysics, held in Calgary, Canada, June 4-7, 1997, University of Calgary Press, 1998.
168. A. Mostafazadeh, “A non-perturbative dolution of time-dependent Schrödinger equation, generalized adiabatic approximation, and the q-bracket,” contributed to Quantum Groups: Deformations and Contractions, held in Istanbul, Turkey, September 17-24, 1997, appeared in the proceedings of the conference.
169. A. Mostafazadeh, “Cosmological adiabatic geometric phase of a scalar field in a Bianchi spacetime,” Turk. J. Phys. 24, 411-428 (2000), contributed to the IX. Regional Conference on Mathematical Physics, held in Istanbul, Turkey, August 8-14; gr-qc/0101087, pdf.
170. A. Mostafazadeh and K. Aghababaei Samani, “Topological quantum symmetries: A brief introduction” Proceedings of the Sixth International Wigner Symposium, Volume 1, 375-379, Boðaziçi University Press 2002.
171. A. Mostafazadeh, “Probability interpretation for Klein-Gordon fields and the Hilbert space problem in quantum cosmology,” Proceedings TH2002 Supplement, Birkhause Verlag, Basel, (2003) 219-228, contributed to the Theoretical Physics 2002 conference held in Paris, France, July 22-27, 2002; gr-cq/0205049.
172. A. Mostafazadeh and S. Özçelik, “Explicit realization of pseudo-Hermitian and quasi-Hermitian quantum mechanics for two-level systems,” Turk. J. Phys. 30, 437-443 (2006), contributed to the 5th Worksop on Quantization, Dualities, and Integrable Systems, held in Pamukkale University, Denizle, Turkey, 23-27 January, 2006; quant-ph/0607120 ; pdf.
173. A. Mostafazadeh, “Spectral singularities do not correspond to bound states in the continuum,” Acta Polytechnica 53, 306-307 (2013), contributed to the proceedings of the workshop: Analytic and Algebraic Methods in Physics X, held in Prague, Czech Republic, June 04-07, 2012; arXiv:1207.2278; pdf.
174. A. Mostafazadeh, “A differential integrability condition for two-dimensional Hamiltonian systems,” Acta Polytechnica 54, 139-141 (2014), contributed to the proceedings of the workshop: Analytic and Algebraic Methods in Physics XI, held in Prague, Czech Republic, October 30-Novembe 01, 2013; arXiv:1401.1096; pdf.
175. A. Mostafazadeh, “Physics of spectral
singularities,” Geometric Methods in Physics,
XXXIII Workshop 2014, Trends in Mathematics 145-165, Springer, Cham 2015,
edited by P. Kielanowski, P. Bieliavsky, A. Odzijewicz, M. Schlichenmaier, and
T. Voronov, contributed to the proceedings of the XXXIII workshop on Geometric
Methods in Physics, held in Bialowieza, Poland, June 29-July 05, 2014; arXiv:1412.0454.
176. A. Mostafazadeh, “Generalized unitarity relation
for linear scattering systems in one dimension,” Geometric
Methods in Physics XXXVI, Trends in Mathematics 265-272, Springer Nature,
Switzerland AG 2019, edited by P. Kielanowski, A. Odzijewicz, and E.
Previato, contributed to the proceedings of the XXXVI workshop on Geometric
Methods in Physics, held in Bialowieza, Poland, June 29-July 05, 2017; arXiv:1711.04003.
Other (Invited) Articles
177. A. Mostafazadeh, “On quantizing gravity and geometrizing quantum mechanics,” Iranian J. Phys. Research 5, 53-58 (2005), pdf; invited paper.
178. A. Mostafazadeh, “Transfer matrix in scattering theory: A survey of basic
properties and recent developments,” Turk.
J. Phys. 44, 472-527 (2020); arXiv:2009.10507, pdf;
invited paper.