Edit Profile (opens in new tab) Balantekin, A. Baha Co-Author Distance Author ID: 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 all top 5 Co-Authors 6 single-authored 33 Aleixo, A. N. F. 6 Cândido Ribeiro, M. A. 3 Bars, Itzhak 3 Kajino, Toshitaka 3 Pehlivan, Yamaç 3 Schmitt, H. A. 2 Barrett, B. R. 2 Halse, P. 2 Maruyama, Tomoyuki 2 Yoshida, Takashi 1 Beacom, J. F. 1 Cassak, P. 1 Cheoun, Myung-Ki 1 Guven, N. 1 Kusakabe, Motohiko 1 Malkus, A. 1 Mathews, Grant J. 1 Seger, J. E. Serials 18 Journal of Mathematical Physics 17 Journal of Physics A: Mathematical and Theoretical 8 Journal of Physics A: Mathematical and General 1 Physics Letters. B all top 5 Fields 46 Quantum theory (81-XX) 11 Topological groups, Lie groups (22-XX) 9 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 31 Fields 94 Quantum theory (81-XX) 67 Nonassociative rings and algebras (17-XX) 33 Topological groups, Lie groups (22-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Combinatorics (05-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Partial differential equations (35-XX) 6 Relativity and gravitational theory (83-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 5 Functional analysis (46-XX) 4 Associative rings and algebras (16-XX) 4 Group theory and generalizations (20-XX) 4 Abstract harmonic analysis (43-XX) 4 Differential geometry (53-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year