Edit Profile (opens in new tab) Geyer, Hendrik B. Compute Distance To: Compute Author ID: geyer.hendrik-b Published as: Geyer, Hendrik B.; Geyer, H. B.; Geyer, H. more...less Documents Indexed: 15 Publications since 1992 2 Contributions as Editor Co-Authors: 18 Co-Authors with 16 Joint Publications 318 Co-Co-Authors all top 5 Co-Authors 1 single-authored 6 Scholtz, Frederik G. 5 Znojil, Miloslav 2 Heiss, W. Dieter 2 Jellal, Ahmed 2 Theron, A. N. 1 Bagchi, Bijan Kumar 1 Banerjee, Abhijit 1 Caliceti, Emanuela 1 Cannata, Francesco 1 Georgieva, A. I. 1 Goleminov, J. D. 1 Hahne, F. J. W. 1 Ivanov, Maksim I. 1 Musumbu, Dibwe Pierrot 1 Quesne, Christiane 1 Saidi, El Hassan 1 Schaposnik, Fidel Arturo 1 Snyman, Izak M. all top 5 Serials 4 Journal of Physics A: Mathematical and General 3 Physics Letters. B 2 Nuclear Physics. B 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Fortschritte der Physik 1 Annals of Physics 1 Czechoslovak Journal of Physics 1 International Journal of Geometric Methods in Modern Physics 1 Lecture Notes in Physics 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 15 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 1 Nonassociative rings and algebras (17-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 11 Publications have been cited 204 times in 160 Documents Cited by ▼ Year ▼ Quasi-Hermitian operators in quantum mechanics and the variational principle. Zbl 0749.47041Scholtz, F. G.; Geyer, H. B.; Hahne, F. J. W. 143 1992 Choice of a metric for the non-Hermitian oscillator. Zbl 1105.81035Musumbu, D. P.; Geyer, H. B.; Heiss, W. D. 20 2007 Moyal products–a new perspective on quasi-Hermitian quantum mechanics. Zbl 1117.81062Scholtz, F. G.; Geyer, H. B. 8 2006 Construction of a unique metric in quasi-Hermitian quantum mechanics: nonexistence of the charge operator in a \(2\times2\) matrix model. Zbl 1248.81051Znojil, Miloslav; Geyer, Hendrik B. 8 2006 Operator equations and Moyal products-metrics in quasi-Hermitian quantum mechanics. Zbl 1247.81234Scholtz, Frederik G.; Geyer, Hendrik B. 6 2006 Smeared quantum lattices exhibiting \(\mathscr{PT}\)-symmetry with positive \(\mathscr{P}\). Zbl 1338.81426Znojil, M.; Geyer, H. B. 5 2013 The large \(N\) behaviour of the Lipkin model and exceptional points. Zbl 1073.82549Heiss, W. D.; Scholtz, F. G.; Geyer, H. B. 5 2005 Erratum to: “Construction of a unique metric in quasi-Hermitian quantum mechanics: nonexistence of the charge operator in a \(2\times2\) matrix model” [Phys. Lett. B 640 (2006) 52]. Zbl 1248.81052Znojil, Miloslav; Geyer, Hendrik B. 3 2007 \({\mathcal{CPT}}\)-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators \({\mathcal C}\). Zbl 1091.81023Bagchi, Bijan; Banerjee, A.; Caliceti, Emanuela; Cannata, Francesco; Geyer, Hendrik B.; Quesne, Christiane; Znojil, Miloslav 3 2005 Field theory, topology and condensed matter physics. Proceedings of the ninth Chris Engelbrecht summer school in theoretical physics held at Storms River Mouth, Tsitsikamma National Park, South Africa, 17-28 January 1994. Zbl 0853.00008 2 1995 Special issue: Dedicated to the physics of non-Hermitian operators (PHHQP IV), Stellenbosch, South Africa, 23–25 November 2005. Papers based on the presentations at the international workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics. Zbl 1098.81501 1 2006 Smeared quantum lattices exhibiting \(\mathscr{PT}\)-symmetry with positive \(\mathscr{P}\). Zbl 1338.81426Znojil, M.; Geyer, H. B. 5 2013 Choice of a metric for the non-Hermitian oscillator. Zbl 1105.81035Musumbu, D. P.; Geyer, H. B.; Heiss, W. D. 20 2007 Erratum to: “Construction of a unique metric in quasi-Hermitian quantum mechanics: nonexistence of the charge operator in a \(2\times2\) matrix model” [Phys. Lett. B 640 (2006) 52]. Zbl 1248.81052Znojil, Miloslav; Geyer, Hendrik B. 3 2007 Moyal products–a new perspective on quasi-Hermitian quantum mechanics. Zbl 1117.81062Scholtz, F. G.; Geyer, H. B. 8 2006 Construction of a unique metric in quasi-Hermitian quantum mechanics: nonexistence of the charge operator in a \(2\times2\) matrix model. Zbl 1248.81051Znojil, Miloslav; Geyer, Hendrik B. 8 2006 Operator equations and Moyal products-metrics in quasi-Hermitian quantum mechanics. Zbl 1247.81234Scholtz, Frederik G.; Geyer, Hendrik B. 6 2006 Special issue: Dedicated to the physics of non-Hermitian operators (PHHQP IV), Stellenbosch, South Africa, 23–25 November 2005. Papers based on the presentations at the international workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics. Zbl 1098.81501 1 2006 The large \(N\) behaviour of the Lipkin model and exceptional points. Zbl 1073.82549Heiss, W. D.; Scholtz, F. G.; Geyer, H. B. 5 2005 \({\mathcal{CPT}}\)-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators \({\mathcal C}\). Zbl 1091.81023Bagchi, Bijan; Banerjee, A.; Caliceti, Emanuela; Cannata, Francesco; Geyer, Hendrik B.; Quesne, Christiane; Znojil, Miloslav 3 2005 Field theory, topology and condensed matter physics. Proceedings of the ninth Chris Engelbrecht summer school in theoretical physics held at Storms River Mouth, Tsitsikamma National Park, South Africa, 17-28 January 1994. Zbl 0853.00008 2 1995 Quasi-Hermitian operators in quantum mechanics and the variational principle. Zbl 0749.47041Scholtz, F. G.; Geyer, H. B.; Hahne, F. J. W. 143 1992 all cited Publications top 5 cited Publications all top 5 Cited by 158 Authors 32 Znojil, Miloslav 17 Fring, Andreas 10 Mostafazadeh, Ali 7 Bagchi, Bijan Kumar 7 Maamache, Mustapha 6 Bebiano, Natália Isabel Quadros 5 Krejčiřík, David 4 Bagarello, Fabio 4 Borisov, Denis Ivanovich 4 Dey, Sanjib 4 Feinberg, Joshua 4 Geyer, Hendrik B. 4 Quesne, Christiane 4 Ružička, František 4 Scolarici, Giuseppe 3 Banerjee, Abhijit 3 Cannata, Francesco 3 da Providencia e Costa, Joao Pinheiro 3 Ergun, Ebru 3 Fernández, Francisco Marcelo 3 Jakubský, Vít 3 Koussa, Walid 3 Marquette, Ian 3 Siegl, Petr 3 Solombrino, Luigi 3 Taira, Takanobu 3 Tenney, Rebecca 2 Baklouti, Hamadi 2 Ben-Aryeh, Yacob 2 Cherbal, Omar 2 Curtright, Thomas L. 2 da Providência Santarém e Costa, João 2 Frith, Thomas 2 Günther, Uwe 2 Hussein, Amru 2 Hussin, Véronique 2 Jones, Hugh F. 2 Malomed, Boris A. 2 Mana, Naima 2 Marinello, Gabriel 2 Moussa, M. H. Y. 2 Namouri, Sirine 2 Pato, Mauricio Porto 2 Ramírez, Romina A. 2 Reboiro, Marta 2 Riser, Roman 2 Saidi, El Hassan 2 Tater, Miloš 2 Železný, Jakub 1 Abounasr, R. 1 Ahmed, Zafar 1 Ait Ben Haddou, M. 1 Amaouche, Nadjat 1 Andrade, Fabiano M. 1 Andrianov, Alexander A. 1 Antoine, Jean-Pierre 1 Avossevou, Gabriel Y. H. 1 Banerjee, Pratyay 1 Bardavelidze, M. S. 1 Bastarrachea-Magnani, Miguel A. 1 Basu-Mallick, Bireswar 1 Belchev, B. 1 Bianchini, Davide 1 Bíla, Hynek 1 Bouguerche, Ishak 1 Bytsko, Andrei G. 1 Caliceti, Emanuela 1 Castro-Alvaredo, Olalla A. 1 Cen, Julia 1 Chávez-Carlos, Jorge 1 Cius, D. 1 D’Ambroise, Jennie 1 de Castro, Antonio S. M. 1 De Nittis, Giuseppe 1 de Ponte, M. A. 1 Dehghani, Alireza 1 Djeghiour, Oum Kaltoum 1 Dossa, Finagnon A. 1 Dourado, R. A. 1 Doyon, Benjamin 1 Elrhalami, A. 1 Fakhri, Hossein 1 Fan, Zhiwei 1 Fasihi, Mohammad Ali 1 Fernández, Viviano 1 Figueira de Morisson Faria, Carla 1 Fortin, Sebastian 1 Gargano, Francesco 1 Ghosh, Pijush Kanti 1 Ghosh, Subir 1 Gomi, Kiyonori 1 Goyal, Sandeep K. 1 Gupta, Saurabh 1 He, Su 1 Heiss, W. Dieter 1 Hirsch, Jorge G. 1 Holik, Federico Hernán 1 Hounguevou, Jean V. 1 Ighezou, F-Z 1 Inzunza, Luis ...and 58 more Authors all top 5 Cited in 43 Serials 34 Journal of Mathematical Physics 18 International Journal of Theoretical Physics 15 Physics Letters. A 10 Czechoslovak Journal of Physics 6 Annals of Physics 5 Modern Physics Letters A 5 International Journal of Modern Physics A 5 Physica A 4 Theoretical and Mathematical Physics 3 Nuclear Physics. B 3 Reports on Mathematical Physics 3 International Journal of Geometric Methods in Modern Physics 3 Journal of Physics A: Mathematical and Theoretical 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 International Journal of Modern Physics B 2 Physics Letters. B 2 Journal of High Energy Physics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Reviews in Mathematical Physics 1 Fortschritte der Physik 1 Transactions of the American Mathematical Society 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 International Journal of Modern Physics D 1 St. Petersburg Mathematical Journal 1 Journal of Mathematical Chemistry 1 Open Systems & Information Dynamics 1 Chaos 1 Revista Matemática Complutense 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Modern Optics 1 Journal of Nonlinear Mathematical Physics 1 Journal of Function Spaces and Applications 1 Foundations of Physics Letters 1 Complex Analysis and Operator Theory 1 Banach Journal of Mathematical Analysis 1 Advances in High Energy Physics 1 Physical Review A, Third Series all top 5 Cited in 34 Fields 145 Quantum theory (81-XX) 24 Operator theory (47-XX) 18 Partial differential equations (35-XX) 17 Statistical mechanics, structure of matter (82-XX) 15 Functional analysis (46-XX) 8 Ordinary differential equations (34-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Nonassociative rings and algebras (17-XX) 6 Mechanics of particles and systems (70-XX) 5 Relativity and gravitational theory (83-XX) 4 Differential geometry (53-XX) 3 Algebraic geometry (14-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Probability theory and stochastic processes (60-XX) 3 Optics, electromagnetic theory (78-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year