List of Publications

Ali Mostafazadeh (Mustafazade)

(Updated January 2019)


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.


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, 1425-32 (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.


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.


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.


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.


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.


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.


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.


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.


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.


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 Qynamics,”  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.


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.


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.


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.


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.


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.


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 Stable 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.


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


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.


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.


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.


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.


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.


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.



121. K. Doðan, A. Mostafazadeh, and M. Sarisaman, “Spectral Singularities, Threshold Gain, and Output Intensity for a Slab Laser with Mirrors,Ann. Phys. (Amsterdam) 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.


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 Scattering 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. (Amsterdam), to appear; arXiv: 1905.01808.


Articles Published in Conference Proceedings Covered by Science Citation Index

131. 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.

132. 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.

133. A. Mostafazadeh, Zn-Graded Topological Generalizations of Supersymmetry 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.

134. 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.

135. 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.

136. 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.

137. 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.

138. 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. 

139. 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 onNon-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. 

140. 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

141. 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.

142. 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.

143. 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.

144. 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.

145. A. Mostafazadeh, “A Non-Perturbative Solution 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.

146. A. Mostafazadeh, “Cosmological Adiabatic Geometric Phase of a Scalar Field in a Bianchi Spacetime,” Turkish 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.

147. 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.

148. 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. 

149. A. Mostafazadeh and S. Özçelik, “Explicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems,” Turkish 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.

150. 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.

151. 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.

152. 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.

153. 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 Article

154. A. Mostafazadeh, “On Quantizing Gravity and Geometrizing Quantum Mechanics,”  Iranian J. Phys. Research 5, 53-58  (2005), pdf