(Updated
January 2019)

**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.

**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.

**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 Phas*e,” 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 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.

**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 **H**amiltonians** 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 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.

**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 **S**pectral **S**ingularities and **C**oherent **P**erfect **A**bsorbing** L**asers 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
**S**ingularities and **W**hispering **G**allery **M**odes of a **C**ylindrical **G**ain **M**edium**,**” *Phys.
Rev. A **87**, 063834 (2013), 9 pages; arXiv: 1305.7436.

97. A. Mostafazadeh, *“**Nonlinear **S**pectral **S**ingularities for **C**onfined **N**onlinearities*,*” *Phys.
Rev. Lett. **110**, 260402 (2013); arXiv: 1303.2501.

98. A. Mostafazadeh, *“**Nonlinear **S**pectral **S**ingularities 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
**S**ingularities 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 **I**nvisible **P**otentials as **L**ocal **B**uilding **B**locks of all **S**cattering **P**otentials**,**”
*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}*

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. (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.

**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 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, *“*Z_{n}*-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 24^{th}
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 12^{th} 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 1^{st} 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 2^{nd} 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 13^{th} 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 **A**spects of PT -**S**ymmetry and**
P**seudo-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 7 ^{th} 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*

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 5^{th}
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 **5****4**, 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**