Edit Profile (opens in new tab) Lévai, Géza Compute Distance To: Compute Author ID: levai.geza Published as: Lévai, G.; Lévai, Géza Documents Indexed: 46 Publications since 1989 1 Further Contribution Co-Authors: 21 Co-Authors with 29 Joint Publications 259 Co-Co-Authors all top 5 Co-Authors 16 single-authored 10 Znojil, Miloslav 5 Roy, Pinaki 3 Baye, Daniel 3 Cannata, Francesco 3 Sparenberg, Jean-Marc 2 Kónya, B. 2 Roychoudhury, Rajkumar 2 Siegl, Petr 2 Sinha, Anjana 2 Ventura, Alberto 2 Williams, Brian Wesley 1 Baran, Ágnes 1 Bender, Carl M. 1 Cseh, J. 1 Del Sol Mesa, Antonio 1 Dorey, Patrick E. 1 Dunning, Clare 1 Fring, Andreas 1 Hook, Daniel W. 1 Ishkhanyan, Artur Michaĭlovich 1 Jones, Hugh F. 1 Kovacs, Jozsef 1 Kuzhel, Sergei 1 Magyari, Eugen 1 Rutherford, Jennifer L. 1 Ružička, František 1 Salamon, Peter F. jun. 1 Tateo, Roberto 1 Vertse, T. all top 5 Serials 14 Journal of Physics A: Mathematical and General 8 Physics Letters. A 6 Journal of Physics A: Mathematical and Theoretical 4 Journal of Mathematical Physics 3 Modern Physics Letters A 3 International Journal of Theoretical Physics 1 Annals of Physics 1 Czechoslovak Journal of Physics all top 5 Fields 47 Quantum theory (81-XX) 7 Ordinary differential equations (34-XX) 5 Special functions (33-XX) 4 Partial differential equations (35-XX) 3 Topological groups, Lie groups (22-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 321 times in 188 Documents Cited by ▼ Year ▼ A search for shape-invariant solvable potentials. Zbl 0687.35081Lévai, G. 46 1989 Systematic search for \(\mathcal{PT}\)-symmetric potentials with real energy spectra. Zbl 0963.81012Lévai, Géza; Znojil, Miloslav 30 2000 Algebraic and scattering aspects of a \(\mathcal{PT}\)-symmetric solvable potential. Zbl 1034.81052Lévai, G.; Cannata, F.; Ventura, A. 24 2001 Solvable potentials associated with \(su(1,1)\) algebras: A systematic study. Zbl 0841.34088Lévai, G. 24 1994 Conditions for complex spectra in a class of \(PT\) symmetric potentials. Zbl 1138.81390Lévai, G.; Znojil, M. 23 2001 The interplay of supersymmetry and \(\mathcal P\mathcal T\) symmetry in quantum mechanics: a case study for the Scarf II potential. Zbl 1044.81578Lévai, G.; Znojil, M. 21 2002 A class of exactly solvable potentials related to the Jacobi polynomials. Zbl 0728.34092Lévai, G. 13 1991 The Coulomb-harmonic oscillator correspondence in \(\mathcal {PT}\) symmetric quantum mechanics. Zbl 1115.81339Znojil, Miloslav; Lévai, Géza 12 2000 Spontaneous breakdown of \(PT\) symmetry in the solvable square-well model. Zbl 1138.81404Znojil, M.; Lévai, G. 12 2001 An exactly solvable Schrödinger equation with finite positive position-dependent effective mass. Zbl 1309.81079Lévai, G.; Özer, O. 10 2010 \(\mathcal{PT}\) symmetry of a conditionally exactly solvable potential. Zbl 1118.81441Sinha, A.; Lévai, G.; Roy, P. 10 2004 Unified treatment of the Coulomb and harmonic oscillator potentials in \(D\) dimensions. Zbl 0935.81016Lévai, G.; Kónya, B.; Papp, Z. 9 1998 Comprehensive analysis of conditionally exactly solvable models. Zbl 1015.81019Roychoudhury, Rajkumar; Roy, Pinaki; Znojil, Miloslav; Lévai, Géza 9 2001 Three solvable matrix models of a quantum catastrophe. Zbl 1297.81071Lévai, Géza; Ružička, František; Znojil, Miloslav 7 2014 \(\mathcal{PT}\)-symmetric potentials and the \(so(2,2)\) algebra. Zbl 1066.81630Lévai, G.; Cannata, F.; Ventura, A. 6 2002 An exactly solvable \({\mathcal{PT}}\) symmetric potential from the Natanzon class. Zbl 1047.81569Lévai, G.; Sinha, A.; Roy, P. 6 2003 The generalized Coulomb problem: An exactly solvable model. Zbl 0789.34001Lévai, Géza; Williams, Brian Wesley 5 1993 On the pseudo-norm and admissible solutions of the \(\mathcal{PT}\)-symmetric scarf I potential. Zbl 1117.81059Lévai, G. 5 2006 “Implicit” potentials associated with Jacobi polynomials: Some novel aspects. Zbl 1020.81939Williams, Brian Wesley; Rutherford, Jennifer L.; Lévai, Géza 4 1995 On the normalization constant of \(PT\)-symmetric and real Rosen-Morse I potentials. Zbl 1225.81055Lévai, G. 4 2008 Gradual spontaneous breakdown of \(\mathcal{PT}\) symmetry in a solvable potential. Zbl 1263.81168Lévai, Géza 4 2012 Anomalous doublets of states in a PT symmetric quantum model. Zbl 0973.81014Znojil, Miloslav; Lévai, Géza; Roy, Pinaki; Roychoudhury, Rajkumar 4 2001 The \(\mathcal {PT} \)-symmetric Rosen-Morse II potential: Effects of the asymptotically non-vanishing imaginary potential component. Zbl 1163.81005Lévai, G.; Magyari, E. 4 2009 Scattering in the \({\mathcal PT} \)-symmetric Coulomb potential. Zbl 1168.81413Lévai, Géza; Siegl, Petr; Znojil, Miloslav 4 2009 PT symmetry. In quantum and classical physics. With contributions from Patrick E. Dorey, Clare Dunning, Andreas Fring, Daniel W. Hook, Hugh F. Jones, Sergii Kuzhel, Géza Lévai and Roberto Tateo. Zbl 1423.81001Bender, Carl M. 3 2019 SUSYQM and other symmetries in quantum machanics. Zbl 1064.81055Lévai, G. 3 2004 Asymptotically vanishing -symmetric potentials and negative-mass Schrödinger equations. Zbl 1229.81084Znojil, Miloslav; Siegl, Petr; Lévai, Géza 2 2009 Solvable \(\mathcal{PT} \)-symmetric potentials in higher dimensions. Zbl 1114.81030Lévai, G. 2 2007 Green’s matrix from Jacobi-matrix Hamiltonian. Zbl 0886.47040Kónya, B.; Lévai, G.; Papp, Z. 2 1997 Asymptotic properties of solvable \({\mathcal{PT}}\)-symmetric potentials. Zbl 1215.81033Lévai, Géza 2 2011 Conditionally exactly solvable potentials and supersymmetric transformations. Zbl 0949.81019Lévai, Géza; Roy, Pinaki 2 1999 Exact solutions of the sextic oscillator from the bi-confluent Heun equation. Zbl 1416.81058Lévai, Géza; Ishkhanyan, Artur M. 2 2019 Phase-equivalent potentials from supersymmetry: Analytical results for a Natanzon-class potential. Zbl 1041.81532Lévai, G.; Baye, D.; Sparenberg, J.-M. 1 1997 Factorization of spin-dependent Hamiltonians. Zbl 0937.81019Lévai, G.; Cannata, F. 1 1999 Solvable potentials derived from supersymmetric quantum mechanics. Zbl 0797.34089Lévai, G. 1 1994 On some solutions of the Dirac equation. Zbl 0896.35135Lévai, G.; Del Sol Mesa, A. 1 1996 \({\mathcal {PT}}\) symmetry in Natanzon-class potentials. Zbl 1330.81111Lévai, Géza 1 2015 \({\mathcal P}{\mathcal T} \) symmetry and its spontaneous breakdown in three dimensions. Zbl 1140.81414Lévai, G. 1 2008 Phase-equivalent complex potentials. Zbl 0887.35130Baye, Daniel; Sparenberg, Jean-Marc; Lévai, Géza 1 1997 PT symmetry. In quantum and classical physics. With contributions from Patrick E. Dorey, Clare Dunning, Andreas Fring, Daniel W. Hook, Hugh F. Jones, Sergii Kuzhel, Géza Lévai and Roberto Tateo. Zbl 1423.81001Bender, Carl M. 3 2019 Exact solutions of the sextic oscillator from the bi-confluent Heun equation. Zbl 1416.81058Lévai, Géza; Ishkhanyan, Artur M. 2 2019 \({\mathcal {PT}}\) symmetry in Natanzon-class potentials. Zbl 1330.81111Lévai, Géza 1 2015 Three solvable matrix models of a quantum catastrophe. Zbl 1297.81071Lévai, Géza; Ružička, František; Znojil, Miloslav 7 2014 Gradual spontaneous breakdown of \(\mathcal{PT}\) symmetry in a solvable potential. Zbl 1263.81168Lévai, Géza 4 2012 Asymptotic properties of solvable \({\mathcal{PT}}\)-symmetric potentials. Zbl 1215.81033Lévai, Géza 2 2011 An exactly solvable Schrödinger equation with finite positive position-dependent effective mass. Zbl 1309.81079Lévai, G.; Özer, O. 10 2010 The \(\mathcal {PT} \)-symmetric Rosen-Morse II potential: Effects of the asymptotically non-vanishing imaginary potential component. Zbl 1163.81005Lévai, G.; Magyari, E. 4 2009 Scattering in the \({\mathcal PT} \)-symmetric Coulomb potential. Zbl 1168.81413Lévai, Géza; Siegl, Petr; Znojil, Miloslav 4 2009 Asymptotically vanishing -symmetric potentials and negative-mass Schrödinger equations. Zbl 1229.81084Znojil, Miloslav; Siegl, Petr; Lévai, Géza 2 2009 On the normalization constant of \(PT\)-symmetric and real Rosen-Morse I potentials. Zbl 1225.81055Lévai, G. 4 2008 \({\mathcal P}{\mathcal T} \) symmetry and its spontaneous breakdown in three dimensions. Zbl 1140.81414Lévai, G. 1 2008 Solvable \(\mathcal{PT} \)-symmetric potentials in higher dimensions. Zbl 1114.81030Lévai, G. 2 2007 On the pseudo-norm and admissible solutions of the \(\mathcal{PT}\)-symmetric scarf I potential. Zbl 1117.81059Lévai, G. 5 2006 \(\mathcal{PT}\) symmetry of a conditionally exactly solvable potential. Zbl 1118.81441Sinha, A.; Lévai, G.; Roy, P. 10 2004 SUSYQM and other symmetries in quantum machanics. Zbl 1064.81055Lévai, G. 3 2004 An exactly solvable \({\mathcal{PT}}\) symmetric potential from the Natanzon class. Zbl 1047.81569Lévai, G.; Sinha, A.; Roy, P. 6 2003 The interplay of supersymmetry and \(\mathcal P\mathcal T\) symmetry in quantum mechanics: a case study for the Scarf II potential. Zbl 1044.81578Lévai, G.; Znojil, M. 21 2002 \(\mathcal{PT}\)-symmetric potentials and the \(so(2,2)\) algebra. Zbl 1066.81630Lévai, G.; Cannata, F.; Ventura, A. 6 2002 Algebraic and scattering aspects of a \(\mathcal{PT}\)-symmetric solvable potential. Zbl 1034.81052Lévai, G.; Cannata, F.; Ventura, A. 24 2001 Conditions for complex spectra in a class of \(PT\) symmetric potentials. Zbl 1138.81390Lévai, G.; Znojil, M. 23 2001 Spontaneous breakdown of \(PT\) symmetry in the solvable square-well model. Zbl 1138.81404Znojil, M.; Lévai, G. 12 2001 Comprehensive analysis of conditionally exactly solvable models. Zbl 1015.81019Roychoudhury, Rajkumar; Roy, Pinaki; Znojil, Miloslav; Lévai, Géza 9 2001 Anomalous doublets of states in a PT symmetric quantum model. Zbl 0973.81014Znojil, Miloslav; Lévai, Géza; Roy, Pinaki; Roychoudhury, Rajkumar 4 2001 Systematic search for \(\mathcal{PT}\)-symmetric potentials with real energy spectra. Zbl 0963.81012Lévai, Géza; Znojil, Miloslav 30 2000 The Coulomb-harmonic oscillator correspondence in \(\mathcal {PT}\) symmetric quantum mechanics. Zbl 1115.81339Znojil, Miloslav; Lévai, Géza 12 2000 Conditionally exactly solvable potentials and supersymmetric transformations. Zbl 0949.81019Lévai, Géza; Roy, Pinaki 2 1999 Factorization of spin-dependent Hamiltonians. Zbl 0937.81019Lévai, G.; Cannata, F. 1 1999 Unified treatment of the Coulomb and harmonic oscillator potentials in \(D\) dimensions. Zbl 0935.81016Lévai, G.; Kónya, B.; Papp, Z. 9 1998 Green’s matrix from Jacobi-matrix Hamiltonian. Zbl 0886.47040Kónya, B.; Lévai, G.; Papp, Z. 2 1997 Phase-equivalent potentials from supersymmetry: Analytical results for a Natanzon-class potential. Zbl 1041.81532Lévai, G.; Baye, D.; Sparenberg, J.-M. 1 1997 Phase-equivalent complex potentials. Zbl 0887.35130Baye, Daniel; Sparenberg, Jean-Marc; Lévai, Géza 1 1997 On some solutions of the Dirac equation. Zbl 0896.35135Lévai, G.; Del Sol Mesa, A. 1 1996 “Implicit” potentials associated with Jacobi polynomials: Some novel aspects. Zbl 1020.81939Williams, Brian Wesley; Rutherford, Jennifer L.; Lévai, Géza 4 1995 Solvable potentials associated with \(su(1,1)\) algebras: A systematic study. Zbl 0841.34088Lévai, G. 24 1994 Solvable potentials derived from supersymmetric quantum mechanics. Zbl 0797.34089Lévai, G. 1 1994 The generalized Coulomb problem: An exactly solvable model. Zbl 0789.34001Lévai, Géza; Williams, Brian Wesley 5 1993 A class of exactly solvable potentials related to the Jacobi polynomials. Zbl 0728.34092Lévai, G. 13 1991 A search for shape-invariant solvable potentials. Zbl 0687.35081Lévai, G. 46 1989 all cited Publications top 5 cited Publications all top 5 Cited by 229 Authors 15 Lévai, Géza 14 Znojil, Miloslav 8 Bagchi, Bijan Kumar 8 Quesne, Christiane 8 Roy, Pinaki 7 Mustafa, Omar 7 Sever, Ramazan 6 Ahmed, Zafar 6 Mazharimousavi, S. Habib 5 Mandal, Bhabani Prasad 4 Ishkhanyan, Artur Michaĭlovich 4 Ružička, František 4 Yahiaoui, Sid-Ahmed 3 Bentaiba, Mustapha 3 Dong, Shihai 3 Ghosh, Dona 3 Jia, Chunsheng 3 Khare, Avinash 3 Liu, Jianyi 3 Nathan, Joseph Amal 3 Ovcharov, I. N. 3 Roychoudhury, Rajkumar 3 Samsonov, Boris F. 3 Sinha, Anjana 3 Yadav, Rajesh Kumar 3 Yeşiltaş, Özlem 2 Arai, Asao 2 Arda, Altuğ 2 Assi, Ibsal A. 2 Bahlouli, Hocine 2 Bakhshi, Zahra 2 Bender, Carl M. 2 Borisov, Denis Ivanovich 2 Boussekkine, Naima 2 Cançelik, Y. 2 Cannata, Francesco 2 Çapak, M. 2 Christiansen, Hugo R. 2 Sobreira de Araujo Corrêa, Francisco Julio 2 Cunha, M. S. 2 Fakhri, Hossein 2 Ganguly, Asish 2 Jakubský, Vít 2 Koç, Ramazan 2 Koca, Mehmet 2 Kónya, B. 2 Kumari, Nisha 2 Mecherout, Nawal 2 Midya, Bikashkali 2 Oyewumi, Kayode John 2 Plyushchay, Mikhail S. 2 Ramond, Thierry 2 Rodionov, Vasiliy N. 2 Roy, Barnana 2 Saad, Nasser 2 Sjöstrand, Johannes 2 Sun, Guohua 2 Tezcan, Cevdet 2 Wen, Zichao 2 Williams, Brian Wesley 2 Wolf, Kurt Bernardo 2 Yan, Zhenya 2 Yang, Ciann-Dong 1 Abt, Nikolas 1 Agboola, A. D. 1 Akinpelu, Folake O. 1 Aktaş, Metin 1 Alhaidari, Abdulaziz D. 1 Amir, Naila 1 Atay, Ş. 1 Aydogdu, Oktay 1 Bahar, M. K. 1 Bakır, Ebru 1 Baloïtcha, Ezinvi 1 Banerjee, Abhijit 1 Baran, Ágnes 1 Baran, S. A. 1 Barclay, David T. 1 Barsan, Victor 1 Batle, Josep 1 Benbernou, Amina Lahmar 1 Bíla, Hynek 1 Bougie, Jonathan 1 Brandon, David 1 Brody, Dorje C. 1 Brooks, Harold A. 1 Büyükkılıç, Fevzi 1 Caprio, Mark A. 1 Cartarius, Holger 1 Casas, Montserrat 1 Cerveró, José M. 1 Chabab, Mohamed 1 Chen, Jingling 1 Chenaghlou, Alireza 1 Cherroud, Othmane 1 Christiansen, Tanya J. 1 Chukwuocha, E. O. 1 Ciornei, Mihaela-Cristina 1 Cojuhari, Petru A. 1 Cruz y Cruz, Sara ...and 129 more Authors all top 5 Cited in 38 Serials 37 Journal of Mathematical Physics 31 Physics Letters. A 29 International Journal of Theoretical Physics 16 Modern Physics Letters A 9 Annals of Physics 9 Advances in High Energy Physics 7 Journal of Mathematical Chemistry 4 International Journal of Modern Physics A 4 Czechoslovak Journal of Physics 3 Theoretical and Mathematical Physics 3 Russian Physics Journal 2 European Journal of Physics 2 Journal of Mathematical Analysis and Applications 2 Letters in Mathematical Physics 2 Chaos, Solitons and Fractals 2 Advances in Mathematical Physics 1 International Journal of Modern Physics B 1 Classical and Quantum Gravity 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Physica A 1 Physics Letters. B 1 Fortschritte der Physik 1 Applied Mathematics and Computation 1 Duke Mathematical Journal 1 Mathematische Nachrichten 1 Mathematical Physics, Analysis and Geometry 1 Chaos 1 Journal of High Energy Physics 1 Physical Review Letters 1 Computational Methods and Function Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Symmetry 1 Annalen der Physik 1 Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 24 Fields 173 Quantum theory (81-XX) 29 Special functions (33-XX) 21 Partial differential equations (35-XX) 19 Ordinary differential equations (34-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Mechanics of particles and systems (70-XX) 9 Operator theory (47-XX) 5 Topological groups, Lie groups (22-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year