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Author ID: mostafazadeh.ali Recent zbMATH articles by "Mostafazadeh, Ali"
Published as: Mostafazadeh, Ali; Mostafazadeh, A.
Documents Indexed: 101 Publications since 1993, including 1 Book
Co-Authors: 17 Co-Authors with 30 Joint Publications
168 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

79 Publications have been cited 1,084 times in 569 Documents Cited by Year
Pseudo-Hermiticity versus \(PT\) symmetry: the necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian. Zbl 1059.81070
Mostafazadeh, Ali
161
2002
Pseudo-Hermitian representation of quantum mechanics. Zbl 1208.81095
Mostafazadeh, Ali
154
2010
Pseudo-Hermiticity versus \({\mathcal P}{\mathcal T}\)-symmetry. III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries. Zbl 1061.81075
Mostafazadeh, Ali
90
2002
Pseudo-Hermiticity versus \(PT\)-symmetry. II: A complete characterization of non-Hermitian Hamiltonians with a real spctrum. Zbl 1060.81022
Mostafazadeh, Ali
84
2002
The geometric phase in quantum systems. Foundations, mathematical concepts, and applications in molecular and condensed matter physics. Zbl 1039.81003
Bohm, A.; Mostafazadeh, A.; Koizumi, H.; Niu, Q.; Zwanziger, J.
56
2003
Exact \(PT\)-symmetry is equivalent to Hermiticity. Zbl 1048.81041
Mostafazadeh, Ali
43
2003
Physical aspects of pseudo-Hermitian and \(PT\)-symmetric quantum mechanics. Zbl 1064.81057
Mostafazadeh, Ali; Batal, Ahmet
36
2004
Pseudo-Hermiticity and generalized \(PT\)- and \(CPT\)-symmetries. Zbl 1061.81076
Mostafazadeh, Ali
36
2003
\({\mathcal {PT}}\)-symmetric cubic anharmonic oscillator as a physical model. Zbl 1072.81020
Mostafazadeh, Ali
30
2005
Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians. Zbl 0997.81031
Mostafazadeh, Ali
24
2002
Pseudo-Hermitian description of \(PT\)-symmetric systems defined on a complex contour. Zbl 1088.81044
Mostafazadeh, Ali
22
2005
Hilbert space structures on the solution space of Klein-Gordon-type equations. Zbl 1039.83005
Mostafazadeh, Ali
19
2003
A Hamiltonian formulation of the Pais-Uhlenbeck oscillator that yields a stable and unitary quantum system. Zbl 1241.70023
Mostafazadeh, Ali
17
2010
Quantum mechanics of Klein–Gordon-type fields and quantum cosmology. Zbl 1038.83012
Mostafazadeh, Ali
16
2004
Time-dependent pseudo-Hermitian Hamiltonians defining a unitary quantum system and uniqueness of the metric operator. Zbl 1248.81049
Mostafazadeh, Ali
14
2007
Delta-function potential with a complex coupling. Zbl 1105.81031
Mostafazadeh, Ali
13
2006
Metric operator in pseudo-Hermitian quantum mechanics and the imaginary cubic potential. Zbl 1117.81061
Mostafazadeh, Ali
12
2006
Pseudounitary operators and pseudounitary quantum dynamics. Zbl 1070.81034
Mostafazadeh, Ali
11
2004
Noncyclic geometric phase and its non-abelian generalization. Zbl 1042.81545
Mostafazadeh, Ali
9
1999
Spectral singularities of a general point interaction. Zbl 1226.81067
Mostafazadeh, Ali
9
2011
Relativistic adiabatic approximation and geometric phase. Zbl 0931.35180
Mostafazadeh, Ali
9
1998
Pseudo-Hermitian quantum mechanics with unbounded metric operators. Zbl 1270.81093
Mostafazadeh, Ali
9
2013
Quantum mechanical symmetries and topological invariants. Zbl 0972.81057
Aghababaei Samani, K.; Mostafazadeh, A.
8
2001
Lattice topological field theory on nonorientable surfaces. Zbl 0872.57017
Karimipour, V.; Mostafazadeh, A.
8
1997
Two-component formulation of the Wheeler-DeWitt equation. Zbl 0927.53033
Mostafazadeh, Ali
8
1998
Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians. Zbl 1060.81023
Mostafazadeh, Ali
8
2003
On the dynamical invariants and the geometric phases for a general spin system in a changing magnetic field. Zbl 0971.82029
Mostafazadeh, A.
7
2001
A physical realization of the generalized \(\mathcal{PT}\)-, \(\mathcal C\)-, and CPT-symmetries and the position operator for Klein-Gordon fields. Zbl 1098.81056
Mostafazadeh, Ali
7
2006
Quantum mechanics of Klein-Gordon fields. I: Hilbert space, localized states, and chiral symmetry. Zbl 1104.81041
Mostafazadeh, A.; Zamani, F.
7
2006
Time-dependent diffeomorphisms as quantum canonical transformations and the time-dependent harmonic oscillator. Zbl 0932.81006
Mostafazadeh, Ali
6
1998
Classification theorem for principal fibre bundles, Berry’s phase, and exact cyclic evolution. Zbl 0780.55010
Bohm, Arno; Boya, Luis J.; Mostafazadeh, Ali; Rudolph, Gerd
5
1993
The relation between the Berry and the Anandan-Aharonov connections for \(U(\mathcal N)\) bundles. Zbl 0831.55013
Bohm, A.; Mostafazadeh, A.
5
1994
Supersymmetry and the Atiyah-Singer index theorem. I. Peierls brackets, Green’s functions, and a proof of the index theorem via Gaussian superdeterminants. Zbl 0799.58077
Mostafazadeh, Ali
5
1994
Supersymmetry and the Atiyah-Singer index theorem. II. The scalar curvature factor in the Schrödinger equation. Zbl 0799.58078
Mostafazadeh, Ali
5
1994
Geometric phase for non-Hermitian Hamiltonians and its holonomy interpretation. Zbl 1152.81556
Mehri-Dehnavi, Hossein; Mostafazadeh, Ali
5
2008
Spectral singularities of a complex spherical barrier potential and their optical realization. Zbl 1252.78027
Mostafazadeh, Ali; Sarısaman, Mustafa
5
2011
Physics of spectral singularities. Zbl 1337.34088
Mostafazadeh, Ali
5
2015
Krein-space formulation of \(\mathcal{PT}\) symmetry, \(\mathcal{CPT}\)-inner products, and pseudo-Hermiticity. Zbl 1118.81030
Mostafazadeh, Ali
5
2006
Application of pseudo-Hermitian quantum mechanics to a \(\mathcal{PT}\)-symmetric Hamiltonian with a continuum of scattering states. Zbl 1111.81147
Mostafazadeh, Ali
5
2005
Metric operators for quasi-Hermitian Hamiltonians and symmetries of equivalent Hermitian Hamiltonians. Zbl 1140.81389
Mostafazadeh, Ali
5
2008
Spectral singularities, biorthonormal systems and a two-parameter family of complex point interactions. Zbl 1160.81015
Mostafazadeh, Ali; Mehri-Dehnavi, Hossein
5
2009
Optical spectral singularities and coherent perfect absorption in a two-layer spherical medium. Zbl 1371.78306
Mostafazadeh, Ali; Sarisaman, Mustafa
5
2012
On the representation theory of orthofermions and orthosupersymmetric realization of parasupersymmetry and fractional supersymmetry. Zbl 1014.81022
Mostafazadeh, Ali
5
2001
A new class of adiabatic cyclic states and geometric phases for non-Hermitian Hamiltonians. Zbl 0948.81551
Mostafazadeh, Ali
4
1999
Spectrum degeneracy of general \((p=2)\)-parasupersymmetric quantum mechanics and parasupersymmetric topological invariants. Zbl 0985.81518
Mostafazadeh, Ali
4
1996
Parasupersymmetric quantum mechanics and indices of Fredholm operators. Zbl 0985.81521
Mostafazadeh, Ali
4
1997
Statistical origin of pseudo-Hermitian supersymmetry and pseudo-Hermitian fermions. Zbl 1064.81056
Mostafazadeh, Ali
4
2004
On the pseudo-Hermiticity of a class of PT-symmetric Hamiltonians in one dimension. Zbl 1083.81514
Mostafazadeh, Ali
4
2002
Quantum mechanics of Proca fields. Zbl 1187.81163
Zamani, Farhad; Mostafazadeh, Ali
4
2009
A dynamical formulation of one-dimensional scattering theory and its applications in optics. Zbl 1342.78029
Mostafazadeh, Ali
4
2014
Point interactions, metamaterials, and \(\mathcal{PT}\)-symmetry. Zbl 1377.81265
Mostafazadeh, Ali
4
2016
Quantum mechanics of Klein-Gordon fields. II: Relativistic coherent states. Zbl 1104.81042
Mostafazadeh, A.; Zamani, F.
4
2006
Exact solution of the two-dimensional scattering problem for a class of \(\delta\)-function potentials supported on subsets of a line. Zbl 1397.81424
Loran, Farhang; Mostafazadeh, Ali
4
2018
Topological aspects of the non-adiabatic Berry phase. Zbl 0832.58037
Mostafazadeh, Ali; Bohm, Arno
3
1993
Quantum canonical transformations and exact solution of the Schrödinger equation. Zbl 0883.47088
Mostafazadeh, Ali
3
1997
Para-Bose–para-Fermi supersymmetry. Zbl 1044.81642
Mostafazadeh, Ali
3
1996
Application of pseudo-Hermitian quantum mechanics to a complex scattering potential with point interactions. Zbl 1188.81085
Mehri-Dehnavi, Hossein; Mostafazadeh, Ali; Batal, Ahmet
3
2010
Unidirectional invisibility and non-reciprocal transmission in two and three dimensions. Zbl 1371.78039
Loran, Farhang; Mostafazadeh, Ali
3
2016
Adiabatic product expansion. Zbl 0962.81507
Mostafazadeh, Ali
2
1997
Perturbative calculation of the adiabatic geometric phase and particle in a well with moving walls. Zbl 0960.81031
Mostafazadeh, Ali
2
1999
Exact semiclassical evolutions in relativistic and non-relativistic scalar quantum mechanics and quantum cosmology. Zbl 0934.83023
Mostafazadeh, Ali
2
1998
Geometric phase, bundle classification, and group representation. Zbl 0865.58021
Mostafazadeh, Ali
2
1996
Parageneralization of Peierls bracket quantization. Zbl 1044.81641
Mostafazadeh, Ali
2
1996
Self-dual spectral singularities and coherent perfect absorbing lasers without \(\mathcal{PT}\)-symmetry. Zbl 1263.81173
Mostafazadeh, Ali
2
2012
Non-Abelian geometric phase for general three-dimensional quantum systems. Zbl 0927.46058
Mostafazadeh, Ali
2
1997
Non-abelian geometric phase, Floquet theory and periodic dynamical invariants. Zbl 0936.37023
Mostafazadeh, Ali
2
1998
Differential realization of pseudo-hermiticity: a quantum mechanical analog of Einstein’s field equation. Zbl 1112.81036
Mostafazadeh, Ali
2
2006
Is weak pseudo-hermiticity weaker than pseudo-hermiticity? Zbl 1112.81037
Mostafazadeh, Ali
2
2006
Solving scattering problems in the half-line using methods developed for scattering in the full line. Zbl 1429.81095
Mostafazadeh, Ali
1
2019
Real description of classical Hamiltonian dynamics generated by a complex potential. Zbl 1236.70013
Mostafazadeh, Ali
1
2006
Generalized adiabatic product expansion: a nonperturbative method of solving the time-dependent Schrödinger equation. Zbl 1059.81526
Mostafazadeh, Ali
1
1999
Geometric phases, symmetries of dynamical invariants and exact solution of the Schrödinger equation. Zbl 1002.81021
Mostafazadeh, Ali
1
2001
On a Z\(_3\)-graded generalization of the Witten index. Zbl 0985.81050
Mostafazadeh, Ali
1
2002
Variational Sturmian approximation: a nonperturbative method of solving time-independent Schrödinger equation. Zbl 1036.81009
Mostafazadeh, Ali
1
2001
On the statistical origin of topological symmetries. Zbl 1083.81527
Samani, K. Aghababaei; Mostafazadeh, A.
1
2002
Spectral singularities in the TE and TM modes of a \(\mathcal{PT}\)-symmetric slab system: optimal conditions for realizing a CPA-laser. Zbl 1378.78031
Mostafazadeh, Ali; Sarısaman, Mustafa
1
2016
Quantum mechanics of a photon. Zbl 1373.81436
Babaei, Hassan; Mostafazadeh, Ali
1
2017
Adiabatic series expansion and higher-order semiclassical approximations in scattering theory. Zbl 1297.81165
Mostafazadeh, Ali
1
2014
Adiabatic approximation, semiclassical scattering, and unidirectional invisibility. Zbl 1286.81089
Mostafazadeh, Ali
1
2014
Solving scattering problems in the half-line using methods developed for scattering in the full line. Zbl 1429.81095
Mostafazadeh, Ali
1
2019
Exact solution of the two-dimensional scattering problem for a class of \(\delta\)-function potentials supported on subsets of a line. Zbl 1397.81424
Loran, Farhang; Mostafazadeh, Ali
4
2018
Quantum mechanics of a photon. Zbl 1373.81436
Babaei, Hassan; Mostafazadeh, Ali
1
2017
Point interactions, metamaterials, and \(\mathcal{PT}\)-symmetry. Zbl 1377.81265
Mostafazadeh, Ali
4
2016
Unidirectional invisibility and non-reciprocal transmission in two and three dimensions. Zbl 1371.78039
Loran, Farhang; Mostafazadeh, Ali
3
2016
Spectral singularities in the TE and TM modes of a \(\mathcal{PT}\)-symmetric slab system: optimal conditions for realizing a CPA-laser. Zbl 1378.78031
Mostafazadeh, Ali; Sarısaman, Mustafa
1
2016
Physics of spectral singularities. Zbl 1337.34088
Mostafazadeh, Ali
5
2015
A dynamical formulation of one-dimensional scattering theory and its applications in optics. Zbl 1342.78029
Mostafazadeh, Ali
4
2014
Adiabatic series expansion and higher-order semiclassical approximations in scattering theory. Zbl 1297.81165
Mostafazadeh, Ali
1
2014
Adiabatic approximation, semiclassical scattering, and unidirectional invisibility. Zbl 1286.81089
Mostafazadeh, Ali
1
2014
Pseudo-Hermitian quantum mechanics with unbounded metric operators. Zbl 1270.81093
Mostafazadeh, Ali
9
2013
Optical spectral singularities and coherent perfect absorption in a two-layer spherical medium. Zbl 1371.78306
Mostafazadeh, Ali; Sarisaman, Mustafa
5
2012
Self-dual spectral singularities and coherent perfect absorbing lasers without \(\mathcal{PT}\)-symmetry. Zbl 1263.81173
Mostafazadeh, Ali
2
2012
Spectral singularities of a general point interaction. Zbl 1226.81067
Mostafazadeh, Ali
9
2011
Spectral singularities of a complex spherical barrier potential and their optical realization. Zbl 1252.78027
Mostafazadeh, Ali; Sarısaman, Mustafa
5
2011
Pseudo-Hermitian representation of quantum mechanics. Zbl 1208.81095
Mostafazadeh, Ali
154
2010
A Hamiltonian formulation of the Pais-Uhlenbeck oscillator that yields a stable and unitary quantum system. Zbl 1241.70023
Mostafazadeh, Ali
17
2010
Application of pseudo-Hermitian quantum mechanics to a complex scattering potential with point interactions. Zbl 1188.81085
Mehri-Dehnavi, Hossein; Mostafazadeh, Ali; Batal, Ahmet
3
2010
Spectral singularities, biorthonormal systems and a two-parameter family of complex point interactions. Zbl 1160.81015
Mostafazadeh, Ali; Mehri-Dehnavi, Hossein
5
2009
Quantum mechanics of Proca fields. Zbl 1187.81163
Zamani, Farhad; Mostafazadeh, Ali
4
2009
Geometric phase for non-Hermitian Hamiltonians and its holonomy interpretation. Zbl 1152.81556
Mehri-Dehnavi, Hossein; Mostafazadeh, Ali
5
2008
Metric operators for quasi-Hermitian Hamiltonians and symmetries of equivalent Hermitian Hamiltonians. Zbl 1140.81389
Mostafazadeh, Ali
5
2008
Time-dependent pseudo-Hermitian Hamiltonians defining a unitary quantum system and uniqueness of the metric operator. Zbl 1248.81049
Mostafazadeh, Ali
14
2007
Delta-function potential with a complex coupling. Zbl 1105.81031
Mostafazadeh, Ali
13
2006
Metric operator in pseudo-Hermitian quantum mechanics and the imaginary cubic potential. Zbl 1117.81061
Mostafazadeh, Ali
12
2006
A physical realization of the generalized \(\mathcal{PT}\)-, \(\mathcal C\)-, and CPT-symmetries and the position operator for Klein-Gordon fields. Zbl 1098.81056
Mostafazadeh, Ali
7
2006
Quantum mechanics of Klein-Gordon fields. I: Hilbert space, localized states, and chiral symmetry. Zbl 1104.81041
Mostafazadeh, A.; Zamani, F.
7
2006
Krein-space formulation of \(\mathcal{PT}\) symmetry, \(\mathcal{CPT}\)-inner products, and pseudo-Hermiticity. Zbl 1118.81030
Mostafazadeh, Ali
5
2006
Quantum mechanics of Klein-Gordon fields. II: Relativistic coherent states. Zbl 1104.81042
Mostafazadeh, A.; Zamani, F.
4
2006
Differential realization of pseudo-hermiticity: a quantum mechanical analog of Einstein’s field equation. Zbl 1112.81036
Mostafazadeh, Ali
2
2006
Is weak pseudo-hermiticity weaker than pseudo-hermiticity? Zbl 1112.81037
Mostafazadeh, Ali
2
2006
Real description of classical Hamiltonian dynamics generated by a complex potential. Zbl 1236.70013
Mostafazadeh, Ali
1
2006
\({\mathcal {PT}}\)-symmetric cubic anharmonic oscillator as a physical model. Zbl 1072.81020
Mostafazadeh, Ali
30
2005
Pseudo-Hermitian description of \(PT\)-symmetric systems defined on a complex contour. Zbl 1088.81044
Mostafazadeh, Ali
22
2005
Application of pseudo-Hermitian quantum mechanics to a \(\mathcal{PT}\)-symmetric Hamiltonian with a continuum of scattering states. Zbl 1111.81147
Mostafazadeh, Ali
5
2005
Physical aspects of pseudo-Hermitian and \(PT\)-symmetric quantum mechanics. Zbl 1064.81057
Mostafazadeh, Ali; Batal, Ahmet
36
2004
Quantum mechanics of Klein–Gordon-type fields and quantum cosmology. Zbl 1038.83012
Mostafazadeh, Ali
16
2004
Pseudounitary operators and pseudounitary quantum dynamics. Zbl 1070.81034
Mostafazadeh, Ali
11
2004
Statistical origin of pseudo-Hermitian supersymmetry and pseudo-Hermitian fermions. Zbl 1064.81056
Mostafazadeh, Ali
4
2004
The geometric phase in quantum systems. Foundations, mathematical concepts, and applications in molecular and condensed matter physics. Zbl 1039.81003
Bohm, A.; Mostafazadeh, A.; Koizumi, H.; Niu, Q.; Zwanziger, J.
56
2003
Exact \(PT\)-symmetry is equivalent to Hermiticity. Zbl 1048.81041
Mostafazadeh, Ali
43
2003
Pseudo-Hermiticity and generalized \(PT\)- and \(CPT\)-symmetries. Zbl 1061.81076
Mostafazadeh, Ali
36
2003
Hilbert space structures on the solution space of Klein-Gordon-type equations. Zbl 1039.83005
Mostafazadeh, Ali
19
2003
Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians. Zbl 1060.81023
Mostafazadeh, Ali
8
2003
Pseudo-Hermiticity versus \(PT\) symmetry: the necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian. Zbl 1059.81070
Mostafazadeh, Ali
161
2002
Pseudo-Hermiticity versus \({\mathcal P}{\mathcal T}\)-symmetry. III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries. Zbl 1061.81075
Mostafazadeh, Ali
90
2002
Pseudo-Hermiticity versus \(PT\)-symmetry. II: A complete characterization of non-Hermitian Hamiltonians with a real spctrum. Zbl 1060.81022
Mostafazadeh, Ali
84
2002
Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians. Zbl 0997.81031
Mostafazadeh, Ali
24
2002
On the pseudo-Hermiticity of a class of PT-symmetric Hamiltonians in one dimension. Zbl 1083.81514
Mostafazadeh, Ali
4
2002
On a Z\(_3\)-graded generalization of the Witten index. Zbl 0985.81050
Mostafazadeh, Ali
1
2002
On the statistical origin of topological symmetries. Zbl 1083.81527
Samani, K. Aghababaei; Mostafazadeh, A.
1
2002
Quantum mechanical symmetries and topological invariants. Zbl 0972.81057
Aghababaei Samani, K.; Mostafazadeh, A.
8
2001
On the dynamical invariants and the geometric phases for a general spin system in a changing magnetic field. Zbl 0971.82029
Mostafazadeh, A.
7
2001
On the representation theory of orthofermions and orthosupersymmetric realization of parasupersymmetry and fractional supersymmetry. Zbl 1014.81022
Mostafazadeh, Ali
5
2001
Geometric phases, symmetries of dynamical invariants and exact solution of the Schrödinger equation. Zbl 1002.81021
Mostafazadeh, Ali
1
2001
Variational Sturmian approximation: a nonperturbative method of solving time-independent Schrödinger equation. Zbl 1036.81009
Mostafazadeh, Ali
1
2001
Noncyclic geometric phase and its non-abelian generalization. Zbl 1042.81545
Mostafazadeh, Ali
9
1999
A new class of adiabatic cyclic states and geometric phases for non-Hermitian Hamiltonians. Zbl 0948.81551
Mostafazadeh, Ali
4
1999
Perturbative calculation of the adiabatic geometric phase and particle in a well with moving walls. Zbl 0960.81031
Mostafazadeh, Ali
2
1999
Generalized adiabatic product expansion: a nonperturbative method of solving the time-dependent Schrödinger equation. Zbl 1059.81526
Mostafazadeh, Ali
1
1999
Relativistic adiabatic approximation and geometric phase. Zbl 0931.35180
Mostafazadeh, Ali
9
1998
Two-component formulation of the Wheeler-DeWitt equation. Zbl 0927.53033
Mostafazadeh, Ali
8
1998
Time-dependent diffeomorphisms as quantum canonical transformations and the time-dependent harmonic oscillator. Zbl 0932.81006
Mostafazadeh, Ali
6
1998
Exact semiclassical evolutions in relativistic and non-relativistic scalar quantum mechanics and quantum cosmology. Zbl 0934.83023
Mostafazadeh, Ali
2
1998
Non-abelian geometric phase, Floquet theory and periodic dynamical invariants. Zbl 0936.37023
Mostafazadeh, Ali
2
1998
Lattice topological field theory on nonorientable surfaces. Zbl 0872.57017
Karimipour, V.; Mostafazadeh, A.
8
1997
Parasupersymmetric quantum mechanics and indices of Fredholm operators. Zbl 0985.81521
Mostafazadeh, Ali
4
1997
Quantum canonical transformations and exact solution of the Schrödinger equation. Zbl 0883.47088
Mostafazadeh, Ali
3
1997
Adiabatic product expansion. Zbl 0962.81507
Mostafazadeh, Ali
2
1997
Non-Abelian geometric phase for general three-dimensional quantum systems. Zbl 0927.46058
Mostafazadeh, Ali
2
1997
Spectrum degeneracy of general \((p=2)\)-parasupersymmetric quantum mechanics and parasupersymmetric topological invariants. Zbl 0985.81518
Mostafazadeh, Ali
4
1996
Para-Bose–para-Fermi supersymmetry. Zbl 1044.81642
Mostafazadeh, Ali
3
1996
Geometric phase, bundle classification, and group representation. Zbl 0865.58021
Mostafazadeh, Ali
2
1996
Parageneralization of Peierls bracket quantization. Zbl 1044.81641
Mostafazadeh, Ali
2
1996
The relation between the Berry and the Anandan-Aharonov connections for \(U(\mathcal N)\) bundles. Zbl 0831.55013
Bohm, A.; Mostafazadeh, A.
5
1994
Supersymmetry and the Atiyah-Singer index theorem. I. Peierls brackets, Green’s functions, and a proof of the index theorem via Gaussian superdeterminants. Zbl 0799.58077
Mostafazadeh, Ali
5
1994
Supersymmetry and the Atiyah-Singer index theorem. II. The scalar curvature factor in the Schrödinger equation. Zbl 0799.58078
Mostafazadeh, Ali
5
1994
Classification theorem for principal fibre bundles, Berry’s phase, and exact cyclic evolution. Zbl 0780.55010
Bohm, Arno; Boya, Luis J.; Mostafazadeh, Ali; Rudolph, Gerd
5
1993
Topological aspects of the non-adiabatic Berry phase. Zbl 0832.58037
Mostafazadeh, Ali; Bohm, Arno
3
1993
all top 5

Cited by 681 Authors

41 Mostafazadeh, Ali
26 Znojil, Miloslav
22 Bagarello, Fabio
20 Fring, Andreas
14 Bakke, Knut
10 Furtado, Claudio
7 Bagchi, Bijan Kumar
7 Jones, Hugh F.
7 Mandal, Bhabani Prasad
7 Sever, Ramazan
6 Cannata, Francesco
6 De Nittis, Giuseppe
6 Gargano, Francesco
6 Gomi, Kiyonori
6 Loran, Farhang
6 Maamache, Mustapha
6 Mustafa, Omar
6 Quesne, Christiane
6 Trapani, Camillo
5 Bebiano, Natália Isabel Quadros
5 Bender, Carl M.
5 Borisov, Denis Ivanovich
5 Brody, Dorje C.
5 Erdal, Ibrahim
5 Kuzhel, Sergei
5 Mazharimousavi, S. Habib
5 Ružička, František
4 Banerjee, Abhijit
4 Cebesoy, Serifenur
4 Cherbal, Omar
4 Dey, Sanjib
4 Ergun, Ebru
4 Fakhri, Hossein
4 Grahovski, Georgi G.
4 Inoue, Hiroshi
4 Ioffe, Mikhail V.
4 Krejčiřík, David
4 Lévai, Géza
4 Marmo, Giuseppe
4 Neznamov, Vasily P.
4 Nishnianidze, D. N.
4 Plyushchay, Mikhail S.
4 Siegl, Petr
4 Solombrino, Luigi
4 Viennot, David
4 Yardimci, Şeyhmus
4 Yeşiltaş, Özlem
3 Ahmed, Faizuddin
3 Antoine, Jean-Pierre
3 Aouachria, Mekki
3 Bairamov, Elgiz
3 Balajany, Hamideh
3 Ben-Aryeh, Yacob
3 da Providencia e Costa, Joao Pinheiro
3 Esen, Oğul
3 Fernández, Francisco Marcelo
3 Frith, Thomas
3 Fuchs, Jürgen
3 Geyer, Hendrik B.
3 Gianfreda, Mariagiovanna
3 Günther, Uwe
3 Huang, Minyi
3 Jakubský, Vít
3 Jia, Chunsheng
3 Kanki, Kazuki
3 Koussa, Walid
3 Liu, Jianyi
3 Lotfizadeh, M.
3 Marinello, Gabriel
3 Marquette, Ian
3 Mehrafarin, Mohammad
3 Pato, Mauricio Porto
3 Petrosky, Tomio Yamakoshi
3 Roy, Pinaki
3 Runkel, Ingo
3 Schweigert, Christoph
3 Scolarici, Giuseppe
3 Shalaby, Abouzeid M.
3 Taira, Takanobu
3 Tanaka, Satoshi
3 Toppan, Francesco
3 Trunk, Carsten
3 Zezyulin, Dmitry A.
2 Ahmed, Zafar
2 Arik, Metin
2 Baaquie, Belal Ehsan
2 Barboza, P. M. T.
2 Belich, Humberto
2 Boussekkine, Naima
2 Bui, Hai Viet
2 Çağatay Uçgun, Filiz
2 Caliceti, Emanuela
2 Capolupo, Antonio
2 Cen, Julia
2 Cheon, Taksu
2 Coskun, Nimet
2 Curtright, Thomas L.
2 Dai, Jialiang
2 Eguibar, Francisco Soto-
2 Fu, Libin
...and 581 more Authors
all top 5

Cited in 108 Serials

114 Journal of Mathematical Physics
66 International Journal of Theoretical Physics
35 Physics Letters. A
27 Annals of Physics
25 International Journal of Modern Physics A
22 Modern Physics Letters A
19 Czechoslovak Journal of Physics
17 Theoretical and Mathematical Physics
16 Journal of Physics A: Mathematical and Theoretical
12 Nuclear Physics. B
11 International Journal of Geometric Methods in Modern Physics
10 Journal of High Energy Physics
6 Quantum Information Processing
5 Journal of Mathematical Analysis and Applications
5 Journal of Geometry and Physics
5 Journal of Mathematical Chemistry
4 Classical and Quantum Gravity
4 Physica A
4 Reports on Mathematical Physics
4 Physica D
4 International Journal of Modern Physics D
4 Chaos
4 Complex Analysis and Operator Theory
4 Advances in High Energy Physics
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 General Relativity and Gravitation
3 Letters in Mathematical Physics
3 Applied Mathematics Letters
3 New Journal of Physics
3 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
3 Gravitation & Cosmology
3 The European Physical Journal C. Particles and Fields
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Physical Review A, Third Series
3 Symmetry
2 International Journal of Modern Physics B
2 Physics Letters. B
2 Physics Reports
2 Wave Motion
2 Reviews in Mathematical Physics
2 Fortschritte der Physik
2 Linear Algebra and its Applications
2 Advances in Applied Clifford Algebras
2 Annales Henri Poincaré
2 Physical Review Letters
2 Journal of Modern Optics
2 Hacettepe Journal of Mathematics and Statistics
2 Foundations of Physics
2 Banach Journal of Mathematical Analysis
2 Advances in Differential Equations and Control Processes
2 Advances in Mathematical Physics
2 Journal of Geometric Mechanics
2 Annalen der Physik
1 Communications in Mathematical Physics
1 Computer Physics Communications
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Mathematical Notes
1 Nonlinearity
1 Reviews of Modern Physics
1 Ukrainian Mathematical Journal
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 International Journal of Mathematics and Mathematical Sciences
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Asymptotic Analysis
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Acta Mathematica Universitatis Comenianae. New Series
1 Applied Mathematical Modelling
1 Communications in Partial Differential Equations
1 Journal of Nonlinear Science
1 Potential Analysis
1 Applied Mathematics. Series B (English Edition)
1 Calculus of Variations and Partial Differential Equations
1 Russian Journal of Mathematical Physics
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Turkish Journal of Mathematics
1 Finite Fields and their Applications
1 Doklady Mathematics
1 Mathematical Physics, Analysis and Geometry
1 Open Systems & Information Dynamics
1 Journal of Inequalities and Applications
1 Interdisciplinary Information Sciences (IIS)
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of Dynamical and Control Systems
1 International Journal of Modern Physics C
1 Journal of Nonlinear Mathematical Physics
1 Entropy
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Journal of Cosmology and Astroparticle Physics
1 Journal of Function Spaces and Applications
1 Mediterranean Journal of Mathematics
...and 8 more Serials
all top 5

Cited in 50 Fields

476 Quantum theory (81-XX)
84 Partial differential equations (35-XX)
58 Operator theory (47-XX)
45 Statistical mechanics, structure of matter (82-XX)
44 Relativity and gravitational theory (83-XX)
38 Ordinary differential equations (34-XX)
29 Mechanics of particles and systems (70-XX)
24 Functional analysis (46-XX)
23 Differential geometry (53-XX)
19 Dynamical systems and ergodic theory (37-XX)
19 Optics, electromagnetic theory (78-XX)
14 Nonassociative rings and algebras (17-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Global analysis, analysis on manifolds (58-XX)
11 Numerical analysis (65-XX)
10 Topological groups, Lie groups (22-XX)
10 Difference and functional equations (39-XX)
10 Algebraic topology (55-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 Algebraic geometry (14-XX)
8 Manifolds and cell complexes (57-XX)
8 Probability theory and stochastic processes (60-XX)
6 Fluid mechanics (76-XX)
5 Group theory and generalizations (20-XX)
4 Number theory (11-XX)
4 \(K\)-theory (19-XX)
4 Real functions (26-XX)
4 Mechanics of deformable solids (74-XX)
4 Information and communication theory, circuits (94-XX)
3 Associative rings and algebras (16-XX)
3 Category theory; homological algebra (18-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Mathematical logic and foundations (03-XX)
2 Measure and integration (28-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Geometry (51-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Combinatorics (05-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Astronomy and astrophysics (85-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year