(Updated August 2017)

**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.

**
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.

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*

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 **Hamiltonians Generating
Optimal-Speed Evolutions**,*”* *
Phys. Rev. A **79**, 014101 (2009), 4
pages;
arXiv:0804.4755.

77.
A. Mostafazadeh and
H. Mehri-Dehnavi, *“Spectral Singularities, Biorthonormal Systems, and a
Two-Parameter Family of Complex Point Interactions,*”* *
J. Phys. A **42**, 125303 (2009), 27 pages;
arXiv:0901.3563.

78.
F. Zamani and
A. Mostafazadeh, *“Quantum Mechanics of Proca Fields,*”* *
J. Math. Phys. **50**, 052302 (2009), 35 pages; arXiv:0805.1651.

79.
A. Mostafazadeh, *“**Spectral Singularities of Complex Scattering
Potentials and Infinite Reflection and Transmission
Coefficients at real Energies**,*”* *
Phys. Rev. Lett., **102**, 220402 (2009), 4
pages;
arXiv:0901.4472.

80.
A. Mostafazadeh,
*“**Resonance
Phenomenon Related to Spectral Singularities, Complex Barrier Potential, and
Resonating Waveguides*,”
Phys. Rev. A **80**, 032711 (2009), 9 pages;
arXiv:0908.1713.

2010

81.
A. Mostafazadeh,
*“**Pseudo-Hermiticity
and Electromagnetic Wave Propagation in Dispersive Media,**”
*
Phys. Lett. A **374**, 1307-1310 (2010);
arXiv:1001.2675.

82.
H. Mehri-Dehnavi, A. Mostafazadeh, and A. Batal,
*“**Application of Pseudo-Hermitian
Quantum Mechanics to a Complex Scattering Potential with Point Interactions,*”*
*
J. Phys. A **43**, 145301 (2010), 19 pages;
arXiv:1002.1221.

83.
A. Mostafazadeh, and G. Scolarici,
*“**Pseudo-Hermiticity and
Electromagnetic Wave Propagation: The case of anisotropic and lossy media**,*”*
*
Phys. Lett. A **374**,
2401-2405 (2010);
arXiv:1004.1904.

84.
A. Mostafazadeh,
*“**A
Hamiltonian Formulation of the Pais-Uhlenbeck Oscillator that Yields a 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 Spectral
Singularities
and Coherent Perfect
Absorbing
Lasers without PT-symmetry*,”
J. Phys. A:
Math. Theor.
**45**, 444024 (2012), 10 pages;
arXiv:1205.4560.

2013

94.
A. Mostafazadeh,
*“Invisibility and PT-Symmetry*,”
Phys. Rev. A **87**,
012103 (2013), 8 pages;
arXiv:1206.0116.

95.
A. Mostafazadeh,
*“*Pseudo-Hermitian
Quantum Mechanics with Unbounded Metric Operators,”
Phil. Trans. R. Soc. A **
371**, 20120050 (2013), 7 pages;
arXiv: 1203.6241.

96.
A. Mostafazadeh and M. Sarisaman,
*“**Spectral
Singularities and Whispering
Gallery Modes of a
Cylindrical Gain
Medium,**”
*
Phys. Rev. A **87**,
063834 (2013), 9 pages; arXiv:
1305.7436.

97.
A. Mostafazadeh,
*“*Nonlinear
Spectral Singularities for
Confined Nonlinearities,*”
*
Phys. Rev. Lett. **110**,
260402 (2013);
arXiv: 1303.2501.

98.
A. Mostafazadeh,
*“*Nonlinear
Spectral Singularities
*of a complex barrier potential and the lasing threshold
condition*,*”
*
Phys. Rev. A **87**,
063838 (2013), 4 pages;
arXiv: 1303.4874.

99.
A. Mostafazadeh and M. Sarisaman,
*“**Spectral
Singularities *
in
the surface modes of a spherical gain medium*,**”
*
Phys. Rev. A **88**,
033810 (2013), 8 pages;
arXiv: 1308.2897.

2014

100.
A. Mostafazadeh,
*“A Dynamical Formulation of One-Dimensional Scattering Theory and Its
Applications in Optics,**”
*
Ann. Phys. (NY) **341**,
77-85 (2014);
arXiv: 1310.0592.

101.
A. Mostafazadeh,
*“**Transfer
Matrices as Non-Unitary S-Matrices, Multimode Unidirectional Invisibility, and
Perturbative Inverse Scattering*,*”
*
Phys. Rev. A **89**,
012709 (2014), 8 pages;
arXiv: 1310.0619*.*

102.
A. Mostafazadeh,* *
*“**Adiabatic
Approximation, Semiclassical Scattering, and Unidirectional Invisibility,**”
*
J. Phys. A:
Math. Theor. **47**, 125301 (2014), 13 pages;
arXiv: 1401.4315.

103.
A. Mostafazadeh,* *
*“*Adiabatic
Series Expansion and Higher-Order Semiclassical Approximations in Scattering
Theory*,**”
*J. Phys. A:
Math. Theor. **47**, 345302 (2014), 7 pages;
arXiv: 1402.6458.

104.
A. Mostafazadeh,* *
*“**Unidirectionally Invisible
Potentials as Local
Building Blocks of all
Scattering Potentials**,**”
*
Phys. Rev. A **90**,
023833 (2014), 5 pages;
*Addendum: *
Phys. Rev. A **90**,
055803 (2014), 2 pages;
arXiv: 1407.1760.

105.
A. Mostafazadeh,* *
*“**Spectral
Singularities and CPA-Laser Action in a Weakly Nonlinear PT-Symmetric
Bilayer Slab**,**”
*Stud. App.
Math. **133**, 353-372 (2014);
arXiv: 1404.1737.

106.
A. Mostafazadeh,* *
*“Generalized Unitarity and Reciprocity Relations for PT-symmetric Scattering
Potentials**,**”
*J. Phys. A:
Math. Theor.** 47**, 505303 (2014), 6 pages;
arXiv: 1405.4212.

2015

107.
A. Mostafazadeh and M. Sarisaman,* *
*“Lasing Threshold Condition for Oblique TE and TM Modes, Spectral
Singularities, and Coherent Perfect Absorption**,**”
*
Phys. Rev. A **91**,
043804 (2015), 9 pages;
arXiv: 1501.06767.

108.
F. Loran and
A. Mostafazadeh,* *
*“Composition of Transfer Matrices for Potentials with Overlapping Support**," *
Ann.
Phys. (NY) **359**, 230-242 (2015);
arXiv: 1503.04136.

109.
A. Mostafazadeh,* *
*“Active Invisibility Cloaks in One Dimension**,**”
*
Phys. Rev. A **91**,
063812 (2015), 6 pages;
arXiv: 1504.01756.

110.
A. Mostafazadeh,* *
*“Perturbative Unidirectional Invisibility**,**”
*
Phys. Rev. A **92**,
023831, (2015), 10 pages;
arXiv: 1507.02085.

2016

111.
A. Mostafazadeh,
*“**Point
Interactions, Metamaterials, and PT-Symmetry**," *
Ann.
Phys. (NY) **368**, 56-69 (2016);
arXiv: 1508.01699.

112.
F. Loran and
A. Mostafazadeh,* *
*“Transfer Matrix Formulation of Scattering Theory in Two and Three Dimensions**,**”
*
Phys. Rev. A **93**,
042707 (2016), 9 pages;*
*
arXiv:1511.01404* . *

113.
F. Loran and
A. Mostafazadeh,* *
*“Unidirectional Invisibility and Nonreciprocal Transmission in Two and Three
Dimensions**,**”
*
Proc. R. Soc. A **472**,
20160250 (2016), 15 pages;*
*
arXiv:1605.01225* *

114.
A. Mostafazadeh,
*“**Dynamical
Theory of Scattering, Exact Unidirectional Invisibility, and Truncated ς
**e ^{-2ikx}*

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. Ghaemi-Dizicheh, A.
Mostafazadeh, and M. Sarisaman*,“Nonlinear
Spectral Singularities and Laser Output Intensity**,"
*
J. Opt., to appear;
arXiv: 1702.07185.

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

117.
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.

118.
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.

119. 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.

120. 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.

121. 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.

122. 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.

123. 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.

124. 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.

125. 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.**

126. 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**

127. 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.

128. 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.

129. 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.

130. 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.

131. 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.

132. 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.**

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

134 . 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.** **

135. 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**.

136. 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**.

137. 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**.

138. 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**

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