Ali Mostafazadeh
Koç University, Turkey

Ali Mostafazadeh received his B.S. degree in physics and mathematics from Boğaziçi University, Istanbul, Turkey, in 1989, and his Ph.D. degree in physics from The University of Texas at Austin, Tex, USA, under the supervision of Professor Bryce DeWitt in 1994. He was a Research Associate at the Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran, and a physics faculty member at Sharif University, Tehran, Iran. Moreover, he held a postdoctoral research position at the University of Alberta, Edmonton, Alberta, Canada, before joining the Mathematics Department of Koç University, Istanbul, Turkey, where he is a Full Professor of mathematical physics since 2004. Mostafazadeh received the Killam Postdoctoral Fellowship Award of the University of Alberta in 1994, the Outstanding Young Scientist Award of Turkish Academy of Sciences in 2001, Professor M. Parlar Research Encouragement Award of Middle Eastern Technical University also in 2001, the Werner von Siemens Excellence Award of Koç University in 2006, and the Science Award in Basic Sciences of Scientific and Technological Research Council of Turkey in 2007. Mostafazadeh’s research interests include differential geometric and topological methods in theoretical physics, quantum mechanics, quantum cosmology, supersymmetry and its generalizations, and pseudo-Hermitian Hamiltonians. He is a member of the Editorial Boards of the International Journal of Geometric Methods in Modern Physics and the Hacettepe Journal of Mathematics and Statistics, and a principal member of the Turkish Academy of Sciences since 2007.

Biography Updated on 4 August 2008

Personal Home Page

http://portal.ku.edu.tr/~amostafazadeh/

Articles in Scholarly Journals [Incomplete List]

  1. \mathcal{Q}\mathcal{T} -symmetry and weak pseudo-hermiticity
    Journal of Physics A: Mathematical and Theoretical, vol. 41, no. 5, p. 055304, 2008
  2. Quantum Brachistochrone Problem and the Geometry of the State Space in Pseudo-Hermitian Quantum Mechanics
    Physical Review Letters, vol. 99, no. 13, 2007
  3. Time-dependent pseudo-Hermitian Hamiltonians defining a unitary quantum system and uniqueness of the metric operator
    Physics Letters B, vol. 650, no. 2-3, pp. 208–212, 2007
  4. Real description of classical Hamiltonian dynamics generated by a complex potential
    Physics Letters A, vol. 357, no. 3, pp. 177–180, 2006
  5. Krein-space formulation of $$\mathcal{P}\mathcal{T}$$ symmetry, $$\mathcal{C}\mathcal{P}\mathcal{T}$$ -inner products, and pseudo-Hermiticity
    Czechoslovak Journal of Physics, vol. 56, no. 9, pp. 919–933, 2006
  6. Quantum mechanics of Klein–Gordon fields I: Hilbert Space, localized states, and chiral symmetry
    Annals of Physics, vol. 321, no. 9, pp. 2183–2209, 2006
  7. Quantum mechanics of Klein–Gordon fields II: Relativistic coherent states
    Annals of Physics, vol. 321, no. 9, pp. 2210–2241, 2006
  8. Differential realization of pseudo-Hermiticity: A quantum mechanical analog of Einstein’s field equation
    Journal of Mathematical Physics, vol. 47, no. 7, p. 072103, 2006
  9. Is weak pseudo-Hermiticity weaker than pseudo-Hermiticity?
    Journal of Mathematical Physics, vol. 47, no. 9, p. 092101, 2006
  10. International Journal of Modern Physics A [Particles and Fields; Gravitation; Cosmology; Nuclear Physics], vol. 21, no. 12, p. 2553, 2006
  11. Metric operator in pseudo-Hermitian quantum mechanics and the imaginary cubic potential
    Journal of Physics A: Mathematical and General, vol. 39, no. 32, pp. 10171–10188, 2006
  12. Delta-function potential with a complex coupling
    Journal of Physics A: Mathematical and General, vol. 39, no. 43, pp. 13495–13506, 2006
  13. Pseudo-Hermitian description of PT-symmetric systems defined on a complex contour
    Journal of Physics A: Mathematical and General, vol. 38, no. 14, pp. 3213–3234, 2005
  14. -symmetric cubic anharmonic oscillator as a physical model
    Journal of Physics A: Mathematical and General, vol. 38, no. 29, pp. 6557–6569, 2005
  15. International Journal of Geometric Methods in Modern Physics, vol. 2, no. 5, p. 777, 2005
  16. Application of pseudo-Hermitian quantum mechanics to a PT-symmetric Hamiltonian with a continuum of scattering states
    Journal of Mathematical Physics, vol. 46, no. 10, p. 102108, 2005
  17. Pseudo-Hermiticity, $$\mathcal{P}\mathcal{T}$$ symmetry, and the metric operator
    Czechoslovak Journal of Physics, vol. 55, no. 9, pp. 1157–1160, 2005
  18. Comment on “Quartic anharmonic oscillator and non-Hermiticity”
    Physical Review A, vol. 71, no. 4, 2005
  19. Time-dependent Hilbert spaces, geometric phases, and general covariance in quantum mechanics
    Physics Letters A, vol. 320, no. 5-6, pp. 375–382, 2004
  20. Quantum mechanics of Klein–Gordon-type fields and quantum cosmology
    Annals of Physics, vol. 309, no. 1, pp. 1–48, 2004
  21. Pseudounitary operators and pseudounitary quantum dynamics
    Journal of Mathematical Physics, vol. 45, no. 3, p. 932, 2004
  22. Pseudo-Hermitian Supersymmetry: A Brief Review
    Czechoslovak Journal of Physics, vol. 54, no. 11, pp. 1371–1374, 2004
  23. PT-symmetric Quantum Mechanics: A Precise and Consistent Formulation
    Czechoslovak Journal of Physics, vol. 54, no. 10, pp. 1125–1132, 2004
  24. Wave Function of the Universe and Its Meaning
    Czechoslovak Journal of Physics, vol. 54, no. 1, pp. 93–99, 2004
  25. Statistical origin of pseudo-Hermitian supersymmetry and pseudo-Hermitian fermions
    Journal of Physics A: Mathematical and General, vol. 37, no. 43, pp. 10193–10207, 2004
  26. Physical aspects of pseudo-Hermitian and PT-symmetric quantum mechanics
    Journal of Physics A: Mathematical and General, vol. 37, no. 48, pp. 11645–11679, 2004
  27. Is Pseudo-Hermitian Quantum Mechanics an Indefinite-Metric Quantum Theory?
    Czechoslovak Journal of Physics, vol. 53, no. 11, pp. 1079–1084, 2003
  28. Pseudo-Hermiticity and generalized PT- and CPT-symmetries
    Journal of Mathematical Physics, vol. 44, no. 3, p. 974, 2003
  29. Exact PT-symmetry is equivalent to Hermiticity
    Journal of Physics A: Mathematical and General, vol. 36, no. 25, pp. 7081–7091, 2003
  30. Erratum: Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians [J. Math. Phys. 43, 6343 (2002)]
    Journal of Mathematical Physics, vol. 44, no. 2, p. 943, 2003
  31. Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians
    Journal of Mathematical Physics, vol. 43, no. 12, p. 6343, 2002
  32. Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
    Journal of Mathematical Physics, vol. 43, no. 8, p. 3944, 2002
  33. Topological generalizations of supersymmetry
    Nuclear Physics B - Proceedings Supplements, vol. 104, no. 1-3, pp. 251–253, 2002
  34. Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians
    Nuclear Physics B, vol. 640, no. 3, pp. 419–434, 2002
  35. On a ?-graded generalization of the Witten index
    Nuclear Physics B, vol. 624, no. 3, pp. 500–508, 2002
  36. Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
    Journal of Mathematical Physics, vol. 43, no. 5, p. 2814, 2002
  37. Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
    Journal of Mathematical Physics, vol. 43, no. 1, p. 205, 2002
  38. Hilbert space structures on the solution space of Klein Gordon-type evolution equations
    Classical and Quantum Gravity, vol. 20, no. 1, pp. 155–171, 2002
  39. Modern Physics Letters A [Particles and Fields; Gravitation; Cosmology and Nuclear Physics], vol. 17, no. 30, p. 1973, 2002
  40. Journal of Physics A: Mathematical and General, vol. 34, no. 41, pp. 8601–8609, 2001
  41. Variational Sturmian approximation: A nonperturbative method of solving time-independent Schro¨dinger equation
    Journal of Mathematical Physics, vol. 42, no. 8, p. 3372, 2001
  42. Quantum mechanical symmetries and topological invariants
    Nuclear Physics B, vol. 595, no. 1-2, pp. 467–492, 2001
  43. Journal of Physics A: Mathematical and General, vol. 34, no. 21, pp. 4493–4505, 2001
  44. Journal of Physics A: Mathematical and General, vol. 34, no. 32, pp. 6325–6338, 2001
  45. On the dynamical invariants and the geometric phases for a general spin system in a changing magnetic field
    Physics Letters A, vol. 287, no. 3-4, pp. 187–189, 2001
  46. Modern Physics Letters A [Particles and Fields; Gravitation; Cosmology and Nuclear Physics], vol. 15, no. 34, p. 2129, 2000
  47. Relation between the delay time and the tipping angle for superradiance
    Physical Review A, vol. 60, no. 6, pp. 5140–5143, 1999
  48. Generalized adiabatic product expansion: A nonperturbative method of solving the time-dependent Schro¨dinger equation
    Journal of Mathematical Physics, vol. 40, no. 7, p. 3311, 1999
  49. A new class of adiabatic cyclic states and geometric phases for non-Hermitian Hamiltonians
    Physics Letters A, vol. 264, no. 1, pp. 11–17, 1999
  50. Journal of Physics A: Mathematical and General, vol. 32, no. 46, pp. 8157–8171, 1999
  51. Journal of Physics A: Mathematical and General, vol. 32, no. 47, pp. 8325–8340, 1999
  52. Exact semiclassical evolutions in relativistic and non-relativistic scalar quantum mechanics and quantum cosmology
    Nuclear Physics B, vol. 509, no. 1-2, pp. 529–555, 1998
  53. Two-component formulation of the Wheeler–DeWitt equation
    Journal of Mathematical Physics, vol. 39, no. 9, p. 4499, 1998
  54. Journal of Physics A: Mathematical and General, vol. 31, no. 30, pp. 6495–6503, 1998
  55. Journal of Physics A: Mathematical and General, vol. 31, no. 38, pp. 7829–7845, 1998
  56. Journal of Physics A: Mathematical and General, vol. 31, no. 49, pp. 9975–9982, 1998
  57. Quantum adiabatic approximation and the geometric phase
    Physical Review A, vol. 55, no. 3, pp. 1653–1664, 1997
  58. Inverting a time-dependent harmonic oscillator potential by a unitary transformation and a class of exactly solvable oscillators
    Physical Review A, vol. 55, no. 6, pp. 4084–4088, 1997
  59. International Journal of Modern Physics A [Particles and Fields; Gravitation; Cosmology; Nuclear Physics], vol. 12, no. 15, p. 2725, 1997
  60. Journal of Physics A: Mathematical and General, vol. 30, no. 21, pp. 7525–7535, 1997
  61. Lattice topological field theory on nonorientable surfaces
    Journal of Mathematical Physics, vol. 38, no. 1, p. 49, 1997
  62. Quantum canonical transformations and exact solution of the Schro¨dinger equation
    Journal of Mathematical Physics, vol. 38, no. 7, p. 3489, 1997
  63. Adiabatic product expansion
    Physics Letters A, vol. 228, no. 1-2, pp. 7–12, 1997
  64. Quantum adiabatic approximation, quantum action, and Berry's phase
    Physics Letters A, vol. 232, no. 6, pp. 395–398, 1997
  65. Geometric phase, bundle classification, and group representation
    Journal of Mathematical Physics, vol. 37, no. 3, p. 1218, 1996
  66. International Journal of Modern Physics A [Particles and Fields; Gravitation; Cosmology; Nuclear Physics], vol. 11, no. 6, p. 1057, 1996
  67. International Journal of Modern Physics A [Particles and Fields; Gravitation; Cosmology; Nuclear Physics], vol. 11, no. 16, p. 2957, 1996
  68. Scalar curvature factor in the Schrödinger equation and scattering on a curved surface
    Physical Review A, vol. 54, no. 2, pp. 1165–1170, 1996
  69. International Journal of Modern Physics A [Particles and Fields; Gravitation; Cosmology; Nuclear Physics], vol. 11, no. 16, p. 2941, 1996