(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

**Articles Published in Conference Proceedings Covered by Science
Citation Index**

128.
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.

129.
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.

130.
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.

131.
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.

132.
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.

133.
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.

134.
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.

135.
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.

136.
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.**

137.
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**

138.
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.

139.
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.

140.
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.

141.
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.

142.
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.

143.
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.**

144.
A. Mostafazadeh and K. Aghababaei Samani,
*“Topological Quantum Symmetries: A brief introduction” Proceedings of*

145.
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.** **

146. 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**.

147. 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**.

148. 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**.

149. A. Mostafazadeh, “*Physics of Spectral
Singularities*,” Geometric Methods in Physics,
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.

**Other Article**

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