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Balantekin, A. Baha

Author ID: balantekin.a-baha Recent zbMATH articles by "Balantekin, A. Baha"
Published as: Balantekin, A. B.; Balantekin, A. Baha
Documents Indexed: 53 Publications since 1981, including 5 Additional arXiv Preprints
Co-Authors: 18 Co-Authors with 47 Joint Publications
69 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 294 times in 157 Documents Cited by Year
Branching rules for the supergroup SU(N/M) from those of SU(N+M). Zbl 0488.22040
Balantekin, A. Baha; Bars, Itzhak
54
1982
Dimension and character formulas for Lie supergroups. Zbl 0469.22017
Balantekin, A. Baha; Bars, Itzhak
48
1981
Representations of supergroups. Zbl 0547.22014
Balantekin, A. Baha; Bars, Itzhak
33
1981
Coherent states for the noncompact supergroups Osp(2/2N,\({\mathbb{R}})\). Zbl 0666.17008
Balantekin, A. B.; Schmitt, H. A.; Halse, P.
17
1989
Coherent states for the harmonic oscillator representations of the orthosymplectic supergroup Osp(1/2N,\({\mathbb{R}})\). Zbl 0647.17016
Balantekin, A. B.; Schmitt, H. A.; Barrett, B. R.
14
1988
Character expansion for U(N) groups and U(N/M) supergroups. Zbl 0588.22013
Balantekin, A. B.
14
1984
Thermal and squeezing effects in self-similar potential systems. Zbl 1158.81008
Aleixo, A. N. F.; Balantekin, A. B.
12
2009
Character expansions for the orthogonal and symplectic groups. Zbl 1052.22017
Balantekin, A. B.; Cassak, P.
12
2002
Algebraic nature of shape-invariant and self-similar potentials. Zbl 0986.81033
Balantekin, A. B.; Cândido Ribeiro, M. A.; Aleixo, A. N. F.
11
1999
Anomalies and eigenvalues of Casimir operators for Lie groups and supergroups. Zbl 0506.22023
Balantekin, A. Baha
9
1982
A generalized Jaynes-Cummings Hamiltonian and supersymmetric shape invariance. Zbl 0954.81073
Aleixo, A. N. F.; Balantekin, A. B.; Cândido Ribeiro, M. A.
7
2000
An algebraic \(q\)-deformed form for shape-invariant systems. Zbl 1051.81015
Aleixo, A. N. F.; Balantekin, A. B.; Cândido Ribeiro, M. A.
7
2003
A semiclassical approach to level crossing in supersymmetric quantum mechanics. Zbl 0902.35093
Beacom, J. F.; Balantekin, A. B.
6
1998
Multiparameter deformation theory for quantum confined systems. Zbl 1300.81048
Aleixo, A. N. F.; Balantekin, A. B.
6
2009
Completeness of coherent states associated with self-similar potentials and Ramanujan’s integral extension of the beta function. Zbl 1044.81614
Aleixo, A. N. F.; Balantekin, A. B.; Cândido Ribeiro, M. A.
5
2002
An algebraic construction of generalized coherent states for shape-invariant potentials. Zbl 1067.81063
Aleixo, A. N. F.; Balantekin, A. B.
5
2004
Generalized coherent, squeezed and intelligent states for exactly solvable quantum systems and the analogue of the displacement and squeezing operators. Zbl 1280.81066
Aleixo, A. N. F.; Balantekin, A. B.
4
2013
Purely squeezed states for quantum deformed systems. Zbl 1152.81311
Aleixo, A. N. F.; Balantekin, A. B.
3
2008
Algebraic construction of coherent states for nonlinear quantum deformed systems. Zbl 1241.81103
Aleixo, A. N. F.; Balantekin, A. B.
3
2012
Ladder operators’ normal ordering problem for quantum-deformed systems and the \((q,p)\)-generalization of the Stirling and Bell numbers. Zbl 1193.81079
Aleixo, A. N. F.; Balantekin, A. B.
3
2010
A two-level atom coupled to a two-dimensional supersymmetric and shape-invariant system: dynamics and entanglement. Zbl 1111.81042
Aleixo, A. N. F.; Balantekin, A. B.
2
2007
Generalized Robertson intelligent states and squeezing for supersymmetric and shape-invariant systems: an algebraic construction. Zbl 1114.81049
Aleixo, A. N. F.; Balantekin, A. B.
2
2007
Inverse generators in the algebraic description of quantum confined systems: properties and connections with nonlinear quantum deformation process and phase operators. Zbl 1377.81051
Aleixo, A. N. F.; Balantekin, A. B.
2
2017
Parasupersymmetric formulation of a three-level atom coupled to a \(f\)-deformed two-dimensional potential system: eigenstates, spectrum and accidental degeneracies. Zbl 1291.81150
Aleixo, A. N. F.; Balantekin, A. B.
2
2014
Parasupersymmetric formulation of a quantum deformed coupled system: quantum dynamics and entanglement. Zbl 1267.81173
Aleixo, A. N. F.; Balantekin, A. B.
2
2013
An algebraic construction of generalized coherent states associated with \(q\)-deformed models for primary shape-invariant systems. Zbl 1119.81062
Aleixo, A. N. F.; Balantekin, A. B.
1
2007
Quantum dynamics of parasupersymmetric and shape-invariant coupled systems. Zbl 1117.81069
Aleixo, A. N. F.; Balantekin, A. B.
1
2007
Barrier penetration for supersymmetric shape-invariant potentials. Zbl 0985.81041
Aleixo, A. N. F.; Balantekin, A. B.; Cândido Ribeiro, M. A.
1
2000
The ladder operator normal ordering problem for quantum confined systems and the generalization of the Stirling and Bell numbers. Zbl 1186.81062
Aleixo, A. N. F.; Balantekin, A. B.
1
2010
On the neutrino self refraction problem from a many-body perspective. Zbl 1229.85006
Pehlivan, Y.; Kajino, Toshitaka; Balantekin, A. B.; Yoshida, Takashi; Maruyama, Tomoyuki
1
2010
Quantum dynamics of a two-level system coupled to a shape-invariant potential. Zbl 1081.81011
Aleixo, A. N. F.; Balantekin, A. B.
1
2005
Positive discrete series representations of the noncompact superalgebra Osp(4/2,R). Zbl 0703.17001
Schmitt, H. A.; Halse, P.; Barrett, B. R.; Balantekin, A. B.
1
1989
Normal ordering for nonlinear deformed ladder operators and the \(f\)-generalization of the Stirling and Bell numbers. Zbl 1429.81081
Aleixo, A. N. F.; Balantekin, A. B.
1
2015
Entropy and entanglement dynamics in a quantum deformed coupled system. Zbl 1145.81011
Aleixo, A. N. F.; Balantekin, A. B.
1
2008
A consistent bridge for the construction of generalized nonclassical states for confined systems through the inclusion of inverse generators in the algebraic formalism. Zbl 1406.81043
Aleixo, A. N. F.; Balantekin, A. B.
1
2019
The close connection between the definition and construction of raised and decreased coherent states with the inverse generators in the algebraic description of quantum confined systems. Zbl 1414.81131
Aleixo, A. N. F.; Balantekin, A. B.
1
2019
A consistent bridge for the construction of generalized nonclassical states for confined systems through the inclusion of inverse generators in the algebraic formalism. Zbl 1406.81043
Aleixo, A. N. F.; Balantekin, A. B.
1
2019
The close connection between the definition and construction of raised and decreased coherent states with the inverse generators in the algebraic description of quantum confined systems. Zbl 1414.81131
Aleixo, A. N. F.; Balantekin, A. B.
1
2019
Inverse generators in the algebraic description of quantum confined systems: properties and connections with nonlinear quantum deformation process and phase operators. Zbl 1377.81051
Aleixo, A. N. F.; Balantekin, A. B.
2
2017
Normal ordering for nonlinear deformed ladder operators and the \(f\)-generalization of the Stirling and Bell numbers. Zbl 1429.81081
Aleixo, A. N. F.; Balantekin, A. B.
1
2015
Parasupersymmetric formulation of a three-level atom coupled to a \(f\)-deformed two-dimensional potential system: eigenstates, spectrum and accidental degeneracies. Zbl 1291.81150
Aleixo, A. N. F.; Balantekin, A. B.
2
2014
Generalized coherent, squeezed and intelligent states for exactly solvable quantum systems and the analogue of the displacement and squeezing operators. Zbl 1280.81066
Aleixo, A. N. F.; Balantekin, A. B.
4
2013
Parasupersymmetric formulation of a quantum deformed coupled system: quantum dynamics and entanglement. Zbl 1267.81173
Aleixo, A. N. F.; Balantekin, A. B.
2
2013
Algebraic construction of coherent states for nonlinear quantum deformed systems. Zbl 1241.81103
Aleixo, A. N. F.; Balantekin, A. B.
3
2012
Ladder operators’ normal ordering problem for quantum-deformed systems and the \((q,p)\)-generalization of the Stirling and Bell numbers. Zbl 1193.81079
Aleixo, A. N. F.; Balantekin, A. B.
3
2010
The ladder operator normal ordering problem for quantum confined systems and the generalization of the Stirling and Bell numbers. Zbl 1186.81062
Aleixo, A. N. F.; Balantekin, A. B.
1
2010
On the neutrino self refraction problem from a many-body perspective. Zbl 1229.85006
Pehlivan, Y.; Kajino, Toshitaka; Balantekin, A. B.; Yoshida, Takashi; Maruyama, Tomoyuki
1
2010
Thermal and squeezing effects in self-similar potential systems. Zbl 1158.81008
Aleixo, A. N. F.; Balantekin, A. B.
12
2009
Multiparameter deformation theory for quantum confined systems. Zbl 1300.81048
Aleixo, A. N. F.; Balantekin, A. B.
6
2009
Purely squeezed states for quantum deformed systems. Zbl 1152.81311
Aleixo, A. N. F.; Balantekin, A. B.
3
2008
Entropy and entanglement dynamics in a quantum deformed coupled system. Zbl 1145.81011
Aleixo, A. N. F.; Balantekin, A. B.
1
2008
A two-level atom coupled to a two-dimensional supersymmetric and shape-invariant system: dynamics and entanglement. Zbl 1111.81042
Aleixo, A. N. F.; Balantekin, A. B.
2
2007
Generalized Robertson intelligent states and squeezing for supersymmetric and shape-invariant systems: an algebraic construction. Zbl 1114.81049
Aleixo, A. N. F.; Balantekin, A. B.
2
2007
An algebraic construction of generalized coherent states associated with \(q\)-deformed models for primary shape-invariant systems. Zbl 1119.81062
Aleixo, A. N. F.; Balantekin, A. B.
1
2007
Quantum dynamics of parasupersymmetric and shape-invariant coupled systems. Zbl 1117.81069
Aleixo, A. N. F.; Balantekin, A. B.
1
2007
Quantum dynamics of a two-level system coupled to a shape-invariant potential. Zbl 1081.81011
Aleixo, A. N. F.; Balantekin, A. B.
1
2005
An algebraic construction of generalized coherent states for shape-invariant potentials. Zbl 1067.81063
Aleixo, A. N. F.; Balantekin, A. B.
5
2004
An algebraic \(q\)-deformed form for shape-invariant systems. Zbl 1051.81015
Aleixo, A. N. F.; Balantekin, A. B.; Cândido Ribeiro, M. A.
7
2003
Character expansions for the orthogonal and symplectic groups. Zbl 1052.22017
Balantekin, A. B.; Cassak, P.
12
2002
Completeness of coherent states associated with self-similar potentials and Ramanujan’s integral extension of the beta function. Zbl 1044.81614
Aleixo, A. N. F.; Balantekin, A. B.; Cândido Ribeiro, M. A.
5
2002
A generalized Jaynes-Cummings Hamiltonian and supersymmetric shape invariance. Zbl 0954.81073
Aleixo, A. N. F.; Balantekin, A. B.; Cândido Ribeiro, M. A.
7
2000
Barrier penetration for supersymmetric shape-invariant potentials. Zbl 0985.81041
Aleixo, A. N. F.; Balantekin, A. B.; Cândido Ribeiro, M. A.
1
2000
Algebraic nature of shape-invariant and self-similar potentials. Zbl 0986.81033
Balantekin, A. B.; Cândido Ribeiro, M. A.; Aleixo, A. N. F.
11
1999
A semiclassical approach to level crossing in supersymmetric quantum mechanics. Zbl 0902.35093
Beacom, J. F.; Balantekin, A. B.
6
1998
Coherent states for the noncompact supergroups Osp(2/2N,\({\mathbb{R}})\). Zbl 0666.17008
Balantekin, A. B.; Schmitt, H. A.; Halse, P.
17
1989
Positive discrete series representations of the noncompact superalgebra Osp(4/2,R). Zbl 0703.17001
Schmitt, H. A.; Halse, P.; Barrett, B. R.; Balantekin, A. B.
1
1989
Coherent states for the harmonic oscillator representations of the orthosymplectic supergroup Osp(1/2N,\({\mathbb{R}})\). Zbl 0647.17016
Balantekin, A. B.; Schmitt, H. A.; Barrett, B. R.
14
1988
Character expansion for U(N) groups and U(N/M) supergroups. Zbl 0588.22013
Balantekin, A. B.
14
1984
Branching rules for the supergroup SU(N/M) from those of SU(N+M). Zbl 0488.22040
Balantekin, A. Baha; Bars, Itzhak
54
1982
Anomalies and eigenvalues of Casimir operators for Lie groups and supergroups. Zbl 0506.22023
Balantekin, A. Baha
9
1982
Dimension and character formulas for Lie supergroups. Zbl 0469.22017
Balantekin, A. Baha; Bars, Itzhak
48
1981
Representations of supergroups. Zbl 0547.22014
Balantekin, A. Baha; Bars, Itzhak
33
1981
all top 5

Cited by 203 Authors

13 Balantekin, A. Baha
7 Aleixo, A. N. F.
7 Gourdin, Michel
7 Van der Jeugt, Joris
6 Gould, Mark D.
5 Debergh, Nathalie
5 Günaydin, Murat
4 Bars, Itzhak
4 Bougie, Jonathan
4 Gangopadhyaya, Asim
4 Jarvis, Peter D.
4 Rasinariu, Constantin
4 Zhang, Ruibin
3 Beckers, Jules
3 Chenaghlou, Alireza
3 Guhr, Thomas
3 King, Ronald C.
3 Palev, Tchavdar D.
3 Scheunert, Manfred
3 Stoilova, Nedjalka I.
3 Zabrodin, Anton V.
2 Bình, Nguyên Luong Thái
2 Chen, Yongqing
2 Daoud, Mohammed
2 Delduc, François
2 El Gradechi, Amine M.
2 Faizy, O.
2 Fakhri, Hossein
2 Halse, P.
2 Hughes, J. W. B.
2 Katori, Makoto
2 Mallow, Jeffry V.
2 Morel, Benoît F.
2 Morozov, Alexei Yurievich
2 Nieto, Luis Miguel
2 Pando Zayas, Leopoldo A.
2 Schmitt, H. A.
2 Setare, Mohammad Reza
2 Tanemura, Hideki
2 Thierry-Mieg, Jean
2 Tsuboi, Zengo
2 Wei, Yi
2 Wettig, Tilo
1 Abdel-Khalek, Sayed
1 Ahn, Changhyun
1 Akemann, Gernot
1 Al-Hadeethi, Yas F.
1 Alfaro, Jorge
1 Amir, Naila
1 Arjika, Sama
1 Arutyunov, Gleb Eduardovich
1 Aygün, Noah
1 Backofen, Olaf J.
1 Bahrbeig, R. Jafarzadeh
1 Baloïtcha, Ezinvi
1 Barashenkov, Igor V.
1 Barrett, B. R.
1 Basu-Mallick, Bireswar
1 Beccaria, Matteo
1 Beisert, Niklas
1 Benkart, Georgia McClure
1 Berele, Allan
1 Berrada, K.
1 Biswas, Atreyee
1 Bracken, Anthony J.
1 Brenti, Francesco
1 Brini, Andrea
1 Broggini, C.
1 Candu, Constantin
1 Cassak, P.
1 Chetouani, Lyazid
1 Chowdhury, Subham Dutta
1 Chung, Won-Sang
1 Cornwell, J. F.
1 de Leeuw, Marius
1 Dehghani, Alireza
1 Dimakis, Aristophanes
1 Ding, Xiaoli
1 Douari, Jamila
1 Dung, Nguyên Thi Phuong
1 Fan, Hong-Yi
1 Faraggi, Alberto
1 Fellouris, Anargyros G.
1 Feng, Zhiming
1 Forger, Michael
1 Fyodorov, Yan V.
1 Garcia García, David
1 Ghaderipoor, Alireza
1 Giombi, Simone
1 Giunti, Carlo
1 Gohm, Rolf
1 Goltsblat, Mikhail
1 Gorbunov, I. V.
1 Gorin, Thomas
1 Green, Herbert S.
1 Gupta, Kumar Sankar
1 Hasebe, Kazuki
1 Hatami, Omid
1 Hessian, Hosny A.
1 Hounkonnou, Mahouton Norbert
...and 103 more Authors
all top 5

Cited in 41 Serials

76 Journal of Mathematical Physics
10 International Journal of Theoretical Physics
10 Journal of High Energy Physics
7 Communications in Mathematical Physics
5 Physics Letters. A
4 Nuclear Physics. B
4 Journal of Physics A: Mathematical and Theoretical
3 Modern Physics Letters A
2 Letters in Mathematical Physics
2 Theoretical and Mathematical Physics
2 Journal of Pure and Applied Algebra
2 Journal of Soviet Mathematics
1 International Journal of Modern Physics B
1 Communications in Algebra
1 Israel Journal of Mathematics
1 Journal of Statistical Physics
1 Physics Letters. B
1 Reviews of Modern Physics
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Acta Mathematica Vietnamica
1 Functional Analysis and its Applications
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series A
1 Nagoya Mathematical Journal
1 Studies in Applied Mathematics
1 European Journal of Combinatorics
1 MCSS. Mathematics of Control, Signals, and Systems
1 Linear Algebra and its Applications
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Journal of Algebraic Combinatorics
1 The Electronic Journal of Combinatorics
1 Mathematical Physics, Analysis and Geometry
1 Fractional Calculus & Applied Analysis
1 Journal of Modern Optics
1 Journal of Algebra and its Applications
1 Journal of Statistical Mechanics: Theory and Experiment
1 The European Physical Journal C. Particles and Fields
1 Advances in High Energy Physics
1 Symmetry

Citations by Year