## Geyer, Hendrik B.

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 Author ID: geyer.hendrik-b Published as: Geyer, Hendrik B.; Geyer, H. B.; Geyer, H.
 Documents Indexed: 15 Publications since 1992 2 Contributions as Editor Co-Authors: 18 Co-Authors with 16 Joint Publications 302 Co-Co-Authors
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### 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.
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### 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
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### 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)

### Citations contained in zbMATH Open

11 Publications have been cited 163 times in 141 Documents Cited by Year
Quasi-Hermitian operators in quantum mechanics and the variational principle. Zbl 0749.47041
Scholtz, F. G.; Geyer, H. B.; Hahne, F. J. W.
1992
Choice of a metric for the non-Hermitian oscillator. Zbl 1105.81035
Musumbu, D. P.; Geyer, H. B.; Heiss, W. D.
2007
Construction of a unique metric in quasi-Hermitian quantum mechanics: nonexistence of the charge operator in a $$2\times2$$ matrix model. Zbl 1248.81051
Znojil, Miloslav; Geyer, Hendrik B.
2006
Moyal products–a new perspective on quasi-Hermitian quantum mechanics. Zbl 1117.81062
Scholtz, F. G.; Geyer, H. B.
2006
Operator equations and Moyal products-metrics in quasi-Hermitian quantum mechanics. Zbl 1247.81234
Scholtz, Frederik G.; Geyer, Hendrik B.
2006
The large $$N$$ behaviour of the Lipkin model and exceptional points. Zbl 1073.82549
Heiss, W. D.; Scholtz, F. G.; Geyer, H. B.
2005
Smeared quantum lattices exhibiting $$\mathscr{PT}$$-symmetry with positive $$\mathscr{P}$$. Zbl 1338.81426
Znojil, M.; Geyer, H. B.
2013
$${\mathcal{CPT}}$$-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators $${\mathcal C}$$. Zbl 1091.81023
Bagchi, Bijan; Banerjee, A.; Caliceti, Emanuela; Cannata, Francesco; Geyer, Hendrik B.; Quesne, Christiane; Znojil, Miloslav
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 1248.81052
Znojil, Miloslav; Geyer, Hendrik B.
2007
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
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
2006
Smeared quantum lattices exhibiting $$\mathscr{PT}$$-symmetry with positive $$\mathscr{P}$$. Zbl 1338.81426
Znojil, M.; Geyer, H. B.
2013
Choice of a metric for the non-Hermitian oscillator. Zbl 1105.81035
Musumbu, D. P.; Geyer, H. B.; Heiss, W. D.
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 1248.81052
Znojil, Miloslav; Geyer, Hendrik B.
2007
Construction of a unique metric in quasi-Hermitian quantum mechanics: nonexistence of the charge operator in a $$2\times2$$ matrix model. Zbl 1248.81051
Znojil, Miloslav; Geyer, Hendrik B.
2006
Moyal products–a new perspective on quasi-Hermitian quantum mechanics. Zbl 1117.81062
Scholtz, F. G.; Geyer, H. B.
2006
Operator equations and Moyal products-metrics in quasi-Hermitian quantum mechanics. Zbl 1247.81234
Scholtz, Frederik G.; Geyer, Hendrik B.
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
2006
The large $$N$$ behaviour of the Lipkin model and exceptional points. Zbl 1073.82549
Heiss, W. D.; Scholtz, F. G.; Geyer, H. B.
2005
$${\mathcal{CPT}}$$-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators $${\mathcal C}$$. Zbl 1091.81023
Bagchi, Bijan; Banerjee, A.; Caliceti, Emanuela; Cannata, Francesco; Geyer, Hendrik B.; Quesne, Christiane; Znojil, Miloslav
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
1995
Quasi-Hermitian operators in quantum mechanics and the variational principle. Zbl 0749.47041
Scholtz, F. G.; Geyer, H. B.; Hahne, F. J. W.
1992
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### Cited by 151 Authors

 25 Znojil, Miloslav 14 Fring, Andreas 10 Mostafazadeh, Ali 7 Bagchi, Bijan Kumar 6 Bebiano, Natália Isabel Quadros 6 Maamache, Mustapha 5 Krejčiřík, David 4 Dey, Sanjib 4 Geyer, Hendrik B. 4 Quesne, Christiane 4 Ružička, František 4 Scolarici, Giuseppe 3 Bagarello, Fabio 3 Banerjee, Abhijit 3 Cannata, Francesco 3 da Providencia e Costa, Joao Pinheiro 3 Ergun, Ebru 3 Jakubský, Vít 3 Koussa, Walid 3 Marquette, Ian 3 Siegl, Petr 3 Solombrino, Luigi 2 Ben-Aryeh, Yacob 2 Borisov, Denis Ivanovich 2 Cherbal, Omar 2 Curtright, Thomas L. 2 da Providência Santarém e Costa, João 2 Feinberg, Joshua 2 Fernández, Francisco Marcelo 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 Pato, Mauricio Porto 2 Saidi, El Hassan 2 Tater, Miloš 2 Železný, Jakub 1 Abounasr, R. 1 Ahmed, Zafar 1 Ait Ben Haddou, M. 1 Andrade, Fabiano M. 1 Andrianov, Alexander A. 1 Antoine, Jean-Pierre 1 Avossevou, Gabriel Y. H. 1 Baklouti, Hamadi 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 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 Figueira de Morisson Faria, Carla 1 Fortin, Sebastian 1 Gargano, Francesco 1 Ghosh, Pijush Kanti 1 Gomi, Kiyonori 1 Goyal, Sandeep K. 1 Gupta, Saurabh 1 He, Su 1 Heiss, W. Dieter 1 Hirsch, Jorge G. 1 Holik, Federico 1 Hounguevou, Jean V. 1 Ighezou, F-Z 1 Ioffe, Mikhail V. 1 Jain, Sudhir Ranjan 1 Jellal, Ahmed 1 Jia, Chunsheng 1 Jiang, Guang-Yuan 1 Kamenshchik, Aleksandr Yur’evich 1 Kastner, Michael 1 Kevrekidis, Panayotis G. 1 Lerma-Hernández, Sergio 1 Lévai, Géza 1 Liu, Jianyi ...and 51 more Authors
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### Cited in 41 Serials

 31 Journal of Mathematical Physics 18 International Journal of Theoretical Physics 11 Physics Letters. A 10 Czechoslovak Journal of Physics 5 Modern Physics Letters A 5 International Journal of Modern Physics A 4 Theoretical and Mathematical Physics 3 Physica A 3 International Journal of Geometric Methods in Modern Physics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 International Journal of Modern Physics B 2 Nuclear Physics. B 2 Physics Letters. B 2 Reports on Mathematical Physics 2 Annals of Physics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Physics A: Mathematical and Theoretical 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 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
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### Cited in 31 Fields

 130 Quantum theory (81-XX) 20 Operator theory (47-XX) 14 Partial differential equations (35-XX) 12 Functional analysis (46-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Ordinary differential equations (34-XX) 6 Nonassociative rings and algebras (17-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Relativity and gravitational theory (83-XX) 4 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)