# zbMATH — the first resource for mathematics

## Znojil, Miloslav

Compute Distance To:
 Author ID: znojil.miloslav Published as: Znojil, M.; Znojil, Miloslav External Links: MGP · Wikidata
 Documents Indexed: 202 Publications since 1976, including 5 Books Reviewing Activity: 105 Reviews
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#### Co-Authors

 141 single-authored 10 Lévai, Géza 6 Tater, Miloš 5 Bagchi, Bijan Kumar 5 Geyer, Hendrik B. 5 Ružička, František 4 Bagarello, Fabio 4 Bíla, Hynek 4 Borisov, Denis Ivanovich 4 Jakubský, Vít 4 Roychoudhury, Rajkumar 3 Cannata, Francesco 3 Fernández, Francisco Marcelo 3 Guardiola, R. 3 Quesne, Christiane 2 Caliceti, Emanuela 2 Fring, Andreas 2 Günther, Uwe 2 Krejčiřík, David 2 Mustafa, Omar 2 Pelantová, Edita 2 Ros, Jordi 2 Roy, Pinaki 2 Semorádová, Iveta 2 Siegl, Petr 2 Yanovich, Denis A. 1 Banerjee, Abhijit 1 Chen, Junhua 1 Flynn, M. F. 1 Garcia, Javier G. 1 Gazeau, Jean-Pierre 1 Gemperle, František 1 Gerdt, Vladimir P. 1 Heiss, Dieter 1 Jones, Hugh F. 1 Kleefeld, Frieder 1 Kuzhel, Sergii 1 Leach, Peter Gavin Lawrence 1 Lotoreichik, Vladimir 1 Luís, Euclides Augusto 1 Mallik, Saurav 1 Modak, Subhrajit 1 Panigrahi, Prasanta K. 1 Sandler, Karel 1 Sasaki, Ryu 1 Starosta, Štěpán 1 Stefani, Frank 1 Szafraniec, Franciszek Hugon 1 Ventura, Alberto 1 Wu, Junde 1 Zloshchastiev, Konstantin G.
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#### Serials

 50 Journal of Physics A: Mathematical and General 33 Physics Letters. A 20 Journal of Physics A: Mathematical and Theoretical 15 Journal of Mathematical Physics 9 International Journal of Theoretical Physics 8 Modern Physics Letters A 8 Annals of Physics 8 Czechoslovak Journal of Physics 5 Physics Letters. B 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 International Journal of Modern Physics A 3 Journal of Mathematical Chemistry 2 Letters in Mathematical Physics 2 International Journal of Pure and Applied Mathematics 2 Symmetry 1 Journal of Engineering Mathematics 1 Nuclear Physics. B 1 Fortschritte der Physik 1 Integral Equations and Operator Theory 1 Sbornik: Mathematics 1 International Journal of Mathematics, Game Theory and Algebra 1 Journal of Nonlinear Mathematical Physics 1 Banach Journal of Mathematical Analysis 1 Advances in High Energy Physics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Fields

 178 Quantum theory (81-XX) 32 Ordinary differential equations (34-XX) 22 Operator theory (47-XX) 20 Partial differential equations (35-XX) 12 Functional analysis (46-XX) 9 Numerical analysis (65-XX) 7 General and overarching topics; collections (00-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Special functions (33-XX) 6 Mechanics of particles and systems (70-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Difference and functional equations (39-XX) 5 Sequences, series, summability (40-XX) 4 Functions of a complex variable (30-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH

151 Publications have been cited 853 times in 402 Documents Cited by Year
Non-selfadjoint operators in quantum physics. Mathematical aspects. Zbl 1329.81021
Bagarello, Fabio (ed.); Gazeau, Jean Pierre (ed.); Szafraniec, Franciszek Hugon (ed.); Znojil, Miloslav (ed.)
2015
$$\mathcal P\mathcal T$$-symmetric harmonic oscillators. Zbl 0948.81535
Znojil, Miloslav
1999
Closed formula for the metric in the Hilbert space of a $$\mathcal{PT}$$-symmetric model. Zbl 1117.81058
Krejcirík, D.; Bíla, H.; Znojil, M.
2006
Systematic search for $$\mathcal{PT}$$-symmetric potentials with real energy spectra. Zbl 0963.81012
Lévai, Géza; Znojil, Miloslav
2000
A family of complex potentials with real spectrum. Zbl 0943.34075
Fernández, F. M.; Guardiola, R.; Ros, J.; Znojil, M.
1999
Strong-coupling expansions for the $${\mathcal {PT}}$$-symmetric oscillators $$V(x)= a({\mathbf i}x)+b({\mathbf i}x)^2+ c({\mathbf i}x)^3$$. Zbl 0933.70018
Fernández, F. M.; Guardiola, R.; Ros, J.; Znojil, M.
1998
Conditions for complex spectra in a class of $$PT$$ symmetric potentials. Zbl 1138.81390
Lévai, G.; Znojil, M.
2001
The interplay of supersymmetry and $$\mathcal P\mathcal T$$ symmetry in quantum mechanics: a case study for the Scarf II potential. Zbl 1044.81578
Lévai, G.; Znojil, M.
2002
PT-symmetric square well. Zbl 0969.81521
Znojil, M.
2001
Generalized continuity equation and modified normalization in $$PT$$-symmetric quantum mechanics. Zbl 1138.81375
Bagchi, B.; Quesne, C.; Znojil, M.
2001
Exact solution for Morse oscillator in $$\mathcal P\mathcal T$$-symmetric quantum mechanics. Zbl 0949.81020
Znojil, Miloslav
1999
Three-Hilbert-space formulation of quantum mechanics. Zbl 1160.81017
Znojil, Miloslav
2009
Harmonic oscillator well with a screened Coulombic core is quasi-exactly solvable. Zbl 1148.81305
Znojil, Miloslav
1999
Singular anharmonicities and the analytic continued fractions. II: The potentials $$V(r)=ar^ 2+br^{-4}+cr^{-6}$$. Zbl 0711.35104
Znojil, M.
1990
Supersymmetry without Hermiticity within $$\mathcal{PT}$$ symmetric quantum mechanics. Zbl 1031.81523
Znojil, Miloslav; Cannata, Francesco; Bagchi, Bijan; Roychoudhury, Rajkumar
2000
Spontaneous breakdown of $$PT$$ symmetry in the solvable square-well model. Zbl 1138.81404
Znojil, M.; Lévai, G.
2001
The Coulomb-harmonic oscillator correspondence in $$\mathcal {PT}$$ symmetric quantum mechanics. Zbl 1115.81339
Znojil, Miloslav; Lévai, Géza
2000
Complex Calogero model with real energies. Zbl 0970.81022
Znojil, Miloslav; Tater, Miloš
2001
Solvable simulation of a double-well problem in $${\mathcal{PT}}$$-symmetric quantum mechanics. Zbl 1052.81104
Znojil, Miloslav
2003
Short-range oscillators in a power-series picture. Zbl 1043.81531
Znojil, Miloslav
2000
Shape invariant potentials with $$\mathcal P\mathcal T$$ symmetry. Zbl 0971.81018
Znojil, Miloslav
2000
Asymptotic solvability of an imaginary cubic oscillator with spikes. Zbl 1066.81006
Znojil, Miloslav; Gemperle, František; Mustafa, Omar
2002
$${\mathcal {PT}}$$-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes. Zbl 1042.81019
Mustafa, Omar; Znojil, Miloslav
2002
Non-Hermitian supersymmetry and singular, $$\mathcal{PT}$$-symmetrized oscillators. Zbl 1026.81018
Znojil, Miloslav
2002
Comprehensive analysis of conditionally exactly solvable models. Zbl 1015.81019
Roychoudhury, Rajkumar; Roy, Pinaki; Znojil, Miloslav; Lévai, Géza
2001
Potential r**2+lambdar**2/(1+gr**2) and the analytic continued fractions. Zbl 0513.35028
Znojil, M.
1983
Elementary bound states for the power-law potentials. Zbl 0517.70022
Znojil, M.
1982
Nonlinear pseudo-bosons versus hidden hermiticity. II: The case of unbounded operators. Zbl 1244.81024
Bagarello, Fabio; Znojil, Miloslav
2012
Complete set of inner products for a discrete $$\mathcal{PT}$$-symmetric square-well Hamiltonian. Zbl 1319.81040
Znojil, Miloslav
2009
A return to observability near exceptional points in a schematic $$\mathcal P\mathcal T$$-symmetric model. Zbl 1248.81050
Znojil, Miloslav
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
MHD $$\alpha^{2}$$-dynamo, squire equation and $$\mathcal{PT}$$-symmetric interpolation between square well and harmonic oscillator. Zbl 1110.47026
Günther, Uwe; Stefani, Frank; Znojil, Miloslav
2005
$$\mathcal {PT}$$-symmetric deformations of Calogero models. Zbl 1151.81023
Fring, Andreas; Znojil, Miloslav
2008
Maximal couplings in $${\mathcal {PT}}$$-symmetric chain models with the real spectrum of energies. Zbl 1115.81030
Znojil, Miloslav
2007
Comment on: “Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings” by A. Nanayakkara. Zbl 1187.81134
Bíla, Hynek; Tater, Miloš; Znojil, Miloslav
2006
Solvability and $$\mathcal{PT}$$-symmetry in a double-well model with point interactions. Zbl 1072.81058
Znojil, Miloslav; Jakubský, Vít
2005
Fragile $$\mathcal P\mathcal T$$-symmetry in a solvable model. Zbl 1064.81033
Znojil, Miloslav
2004
Anomalous doublets of states in a PT symmetric quantum model. Zbl 0973.81014
Znojil, Miloslav; Lévai, Géza; Roy, Pinaki; Roychoudhury, Rajkumar
2001
$$\mathcal P\mathcal T$$-symmetrically regularized Eckart, Pöschl-Teller and Hulthén potentials. Zbl 1004.81034
Znojil, Miloslav
2000
Extended continued fractions and energies of the anharmonic oscillators. Zbl 0532.34018
Znojil, M.
1983
Non-self-adjoint operators in quantum physics: ideas, people, and trends. Zbl 1355.81082
Znojil, Miloslav
2015
Three solvable matrix models of a quantum catastrophe. Zbl 1297.81071
Lévai, Géza; Ružička, František; Znojil, Miloslav
2014
Quantum catastrophes: A case study. Zbl 1263.81184
Znojil, Miloslav
2012
Nonlinear pseudo-bosons versus hidden Hermiticity. Zbl 1228.81166
Bagarello, Fabio; Znojil, Miloslav
2011
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
Tridiagonal $${\mathcal PT}$$-symmetric $$N$$-by-$$N$$ Hamiltonians and a fine-tuning of their observability domains in the strongly non-hermitian regime. Zbl 1126.81028
Znojil, Miloslav
2007
Comment on: “Solution of the Dirac equation for the Woods-Saxon potential with spin and pseudospin symmetry” [Phys. Lett. A 338 (2005) 90]. Zbl 1195.81046
Bíla, H.; Jakubský, V.; Znojil, M.
2006
Solvable $$\mathcal{PT}$$-symmetric model with a tunable interspersion of nonmerging levels. Zbl 1110.81159
Znojil, Miloslav
2005
Bound states in the Kratzer plus polynomial potentials and the new form of perturbation theory. Zbl 1048.81505
Znojil, Miloslav
1999
On the elementary Schrödinger bound states and their multiplets. Zbl 0825.35100
Znojil, M.; Leach, P. G. L.
1992
The recursion method of a linear operator inversion. III. Zbl 0526.47027
Znojil, M.
1983
Non-Hermitian interaction representation and its use in relativistic quantum mechanics. Zbl 1372.81063
Znojil, Miloslav
2017
An exactly solvable quantum-lattice model with a tunable degree of nonlocality. Zbl 1208.81096
Znojil, Miloslav
2011
Anomalous real spectra of non-Hermitian quantum graphs in a strong-coupling regime. Zbl 1195.81058
Znojil, Miloslav
2010
Matching method and exact solvability of discrete $$\mathcal {PT}$$-symmetric square wells. Zbl 1117.81053
Znojil, Miloslav
2006
Exactly solvable models with $$\mathcal{PT}$$-symmetry and with an asymmetric coupling of channels. Zbl 1115.82009
Znojil, Miloslav
2006
Coupled-channel version of the PT-symmetric square well. Zbl 1091.81029
Znojil, Miloslav
2006
Construction of $$\mathcal {PT}$$-asymmetric non-hermitian Hamiltonians with CPT symmetry. Zbl 1123.81342
Caliceti, Emanuela; Cannata, Francesco; Znojil, Miloslav; Ventura, Alberto
2005
Trigonometric identities, angular Schrödinger equations and a new family of solvable models. Zbl 1123.81419
Jakubský, Vít; Znojil, Miloslav; Luís, Euclides Augusto; Kleefeld, Frieder
2005
Perturbation method with triangular propagators and anharmonicities of intermediate strength. Zbl 1027.81009
Znojil, Miloslav
2000
Non-Hermitian matrix description of the $$\mathcal P\mathcal T$$-symmetric anharmonic oscillators. Zbl 1047.81517
Znojil, Miloslav
1999
Singular anharmonicities and the analytic continued fractions. Zbl 0692.35108
Znojil, M.
1989
On exact solutions of the Schrödinger equation. Zbl 0528.35027
Znojil, M.
1983
Solvable non-Hermitian discrete square well with closed-form physical inner product. Zbl 1315.81044
Znojil, Miloslav
2014
$$N$$-site-lattice analogues of $$V(x) = \text ix^3$$. Zbl 1243.81076
Znojil, Miloslav
2012
Quantum inner-product metrics via the recurrent solution of the Dieudonné equation. Zbl 1237.81077
Znojil, Miloslav
2012
Scattering in the $${\mathcal PT}$$-symmetric Coulomb potential. Zbl 1168.81413
Lévai, Géza; Siegl, Petr; Znojil, Miloslav
2009
$${\mathcal{PT}}$$-symmetric supersymmetry in a solvable short-range model. Zbl 1095.81028
Bagchi, B.; Mallik, S.; Bíla, H.; Jakubský, V.; Znojil, M.; Quesne, C.
2006
Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms. Zbl 0954.81060
Znojil, Miloslav
2000
The spiked harmonic oscillator $$V(r)= r^2+ r^{-4}$$ as a challenge to perturbation theory. Zbl 1001.81513
Flynn, M. F.; Guardiola, R.; Znojil, M.
1991
On the power-series construction of bound states. I: The energies as zeros of the infinite Hill determinants. Zbl 0666.34066
Znojil, M.
1988
Non-self-adjoint Schrödinger operators with nonlocal one-point interactions. Zbl 06841261
Kuzhel, Sergii; Znojil, Miloslav
2017
On eigenvalues of a $$\mathcal{PT}$$-symmetric operator in a thin layer. Zbl 1371.35178
Borisov, Denis I.; Znojil, Miloslav
2017
Non-Hermitian Heisenberg representation. Zbl 1364.81125
Znojil, Miloslav
2015
Multiply degenerate exceptional points and quantum phase transitions. Zbl 1329.81037
Borisov, Denis I.; Ružička, František; Znojil, Miloslav
2015
Smeared quantum lattices exhibiting $$\mathscr{PT}$$-symmetry with positive $$\mathscr{P}$$. Zbl 1338.81426
Znojil, M.; Geyer, H. B.
2013
Solvable model of quantum phase transitions and the symbolic-manipulation-based study of its multiply degenerate exceptional points and of their unfolding. Zbl 1286.81103
Znojil, Miloslav
2013
Topology-controlled spectra of imaginary cubic oscillators in the large-$$\ell$$ approach. Zbl 1235.81076
Znojil, Miloslav
2010
Conditional observability versus self-duality in a schematic model. Zbl 1149.81011
Znojil, Miloslav
2008
Discrete $${\mathcal {PT}}$$-symmetric models of scattering. Zbl 1149.81366
Znojil, Miloslav
2008
Horizons of stability. Zbl 1140.81372
Znojil, Miloslav
2008
$${\mathcal P}{\mathcal T}$$-symmetric regularizations in supersymmetric quantum mechanics. Zbl 1064.81063
Znojil, Miloslav
2004
The screened Coulomb potential $$V(r)=(\alpha+\beta r)/(\gamma+\delta r)$$ in a semi-relativistic Pauli-Schrödinger equation. Zbl 0904.34065
Znojil, Miloslav
1996
Harmonic oscillations in a quasi-relativistic regime. Zbl 0900.70243
Znojil, Miloslav
1996
The exact bound-state ansaetze as zero-order approximations in perturbation theory. I: The formalism and Padé oscillators. Zbl 1001.81511
Znojil, M.
1991
The generalized continued fractions and potentials of the Lennard-Jones type. Zbl 0708.47035
Znojil, Miloslav
1990
Continued fractions and the potential models of confinement - reply to a comment. Zbl 0528.35026
Znojil, M.
1983
Analytic solutions of the general anharmonic-oscillator problem. Zbl 0491.34010
Znojil, M.
1981
One-dimensional Schrödinger equation with non-analytic potential $$V(x)=-g^{2} \exp (-|x|)$$ and its exact Bessel-function solvability. Zbl 1352.81028
Sasaki, Ryu; Znojil, Miloslav
2016
Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions. Zbl 1360.81186
Znojil, Miloslav
2015
Cryptohermitian Hamiltonians on graphs. Zbl 1228.81167
Znojil, Miloslav
2011
Asymptotically vanishing -symmetric potentials and negative-mass Schrödinger equations. Zbl 1229.81084
Znojil, Miloslav; Siegl, Petr; Lévai, Géza
2009
Special issue: Papers dedicated to the subject of the 6th international workshop on pseudo-Hermitian Hamiltonians in quantum physics (PHHQP VI), London, UK, 16–18 July 2007. Zbl 1143.81301
Fring, Andreas (ed.); Jones, Hugh (ed.); Znojil, Miloslav (ed.)
2008
On a few new quantization recipes using $$\mathcal{PT}$$-symmetry. Zbl 1117.81331
Znojil, Miloslav
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
Geyer, H. (ed.); Heiss, D. (ed.); Znojil, M. (ed.)
2006
Special issue: Proceedings of the 3rd International Workshop Pseudo-Hermitian Hamiltonians in Quantum Physics, Koç University, Istanbul, Turkey, June 20-22, 2005. Zbl 1181.81006
Znojil, Miloslav (ed.)
2005
$$\mathcal{PT}$$-symmetric quantum toboggans. Zbl 1222.81170
Znojil, Miloslav
2005
Perturbation method for non-square Hamiltonians and its application to polynomial oscillators. Zbl 1171.81381
Znojil, Miloslav
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
$$\mathcal{PT}$$ symmetric models in more dimensions and solvable square-well versions of their angular Schrödinger equations. Zbl 1029.81020
Znojil, Miloslav
2003
Two patterns of $$\mathcal{PT}$$-symmetry breakdown in a non-numerical six-state simulation. Zbl 1390.81172
Znojil, Miloslav; Borisov, Denis I.
2018
Non-Hermitian interaction representation and its use in relativistic quantum mechanics. Zbl 1372.81063
Znojil, Miloslav
2017
Non-self-adjoint Schrödinger operators with nonlocal one-point interactions. Zbl 06841261
Kuzhel, Sergii; Znojil, Miloslav
2017
On eigenvalues of a $$\mathcal{PT}$$-symmetric operator in a thin layer. Zbl 1371.35178
Borisov, Denis I.; Znojil, Miloslav
2017
One-dimensional Schrödinger equation with non-analytic potential $$V(x)=-g^{2} \exp (-|x|)$$ and its exact Bessel-function solvability. Zbl 1352.81028
Sasaki, Ryu; Znojil, Miloslav
2016
Quantization of big bang in crypto-Hermitian Heisenberg picture. Zbl 1402.83125
Znojil, Miloslav
2016
Mathematical and physical meaning of the crossings of energy levels in $$\mathcal {PT}$$-symmetric systems. Zbl 1402.81149
Borisov, Denis I.; Znojil, Miloslav
2016
Parity-time symmetry and the toy models of gain-loss dynamics near the real Kato’s exceptional points. Zbl 1373.81216
Znojil, Miloslav
2016
Symmetrized exponential oscillator. Zbl 1351.81046
Znojil, Miloslav
2016
Markov constant and quantum instabilities. Zbl 1342.81126
Pelantová, Edita; Starosta, Štěpán; Znojil, Miloslav
2016
Morse potential, symmetric Morse potential and bracketed bound-state energies. Zbl 1339.81053
Znojil, Miloslav
2016
Non-selfadjoint operators in quantum physics. Mathematical aspects. Zbl 1329.81021
Bagarello, Fabio (ed.); Gazeau, Jean Pierre (ed.); Szafraniec, Franciszek Hugon (ed.); Znojil, Miloslav (ed.)
2015
Non-self-adjoint operators in quantum physics: ideas, people, and trends. Zbl 1355.81082
Znojil, Miloslav
2015
Non-Hermitian Heisenberg representation. Zbl 1364.81125
Znojil, Miloslav
2015
Multiply degenerate exceptional points and quantum phase transitions. Zbl 1329.81037
Borisov, Denis I.; Ružička, František; Znojil, Miloslav
2015
Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions. Zbl 1360.81186
Znojil, Miloslav
2015
Exploring branched Hamiltonians for a class of nonlinear systems. Zbl 1346.81049
Bagchi, Bijan; Modak, Subhrajit; Panigrahi, Prasanta K.; Ruzicka, František; Znojil, Miloslav
2015
$$\mathcal{PT}$$-symmetric model with an interplay between kinematical and dynamical non-localities. Zbl 1315.81042
Znojil, Miloslav
2015
Three solvable matrix models of a quantum catastrophe. Zbl 1297.81071
Lévai, Géza; Ružička, František; Znojil, Miloslav
2014
Solvable non-Hermitian discrete square well with closed-form physical inner product. Zbl 1315.81044
Znojil, Miloslav
2014
The large-$$g$$ observability of the low-lying energies in the strongly singular potentials $$V(x)=x^2+g^2/x^6$$ after their $$\mathcal PT$$-symmetric regularization. Zbl 1308.81085
Znojil, Miloslav
2014
Smeared quantum lattices exhibiting $$\mathscr{PT}$$-symmetry with positive $$\mathscr{P}$$. Zbl 1338.81426
Znojil, M.; Geyer, H. B.
2013
Solvable model of quantum phase transitions and the symbolic-manipulation-based study of its multiply degenerate exceptional points and of their unfolding. Zbl 1286.81103
Znojil, Miloslav
2013
Nonlinear pseudo-bosons versus hidden hermiticity. II: The case of unbounded operators. Zbl 1244.81024
Bagarello, Fabio; Znojil, Miloslav
2012
Quantum catastrophes: A case study. Zbl 1263.81184
Znojil, Miloslav
2012
$$N$$-site-lattice analogues of $$V(x) = \text ix^3$$. Zbl 1243.81076
Znojil, Miloslav
2012
Quantum inner-product metrics via the recurrent solution of the Dieudonné equation. Zbl 1237.81077
Znojil, Miloslav
2012
The dynamical problem for a non self-adjoint Hamiltonian. Zbl 1260.81090
Bagarello, Fabio; Znojil, Miloslav
2012
Nonlinear pseudo-bosons versus hidden Hermiticity. Zbl 1228.81166
Bagarello, Fabio; Znojil, Miloslav
2011
An exactly solvable quantum-lattice model with a tunable degree of nonlocality. Zbl 1208.81096
Znojil, Miloslav
2011
Cryptohermitian Hamiltonians on graphs. Zbl 1228.81167
Znojil, Miloslav
2011
The crypto-Hermitian smeared-coordinate representation of wave functions. Zbl 1252.81063
Znojil, Miloslav
2011
Discrete quantum square well of the first kind. Zbl 1242.81080
Znojil, Miloslav
2011
Symbolic-manipulation constructions of Hilbert-space metrics in quantum mechanics. Zbl 1308.81009
Znojil, Miloslav
2011
Planarizable supersymmetric quantum toboggans. Zbl 1217.81102
Znojil, Miloslav
2011
Anomalous real spectra of non-Hermitian quantum graphs in a strong-coupling regime. Zbl 1195.81058
Znojil, Miloslav
2010
Topology-controlled spectra of imaginary cubic oscillators in the large-$$\ell$$ approach. Zbl 1235.81076
Znojil, Miloslav
2010
Three-Hilbert-space formulation of quantum mechanics. Zbl 1160.81017
Znojil, Miloslav
2009
Complete set of inner products for a discrete $$\mathcal{PT}$$-symmetric square-well Hamiltonian. Zbl 1319.81040
Znojil, Miloslav
2009
Scattering in the $${\mathcal PT}$$-symmetric Coulomb potential. Zbl 1168.81413
Lévai, Géza; Siegl, Petr; Znojil, Miloslav
2009
Asymptotically vanishing -symmetric potentials and negative-mass Schrödinger equations. Zbl 1229.81084
Znojil, Miloslav; Siegl, Petr; Lévai, Géza
2009
Cryptohermitian picture of scattering using quasilocal metric operators. Zbl 1188.81161
Znojil, Miloslav
2009
$$\mathcal {PT}$$-symmetric deformations of Calogero models. Zbl 1151.81023
Fring, Andreas; Znojil, Miloslav
2008
Conditional observability versus self-duality in a schematic model. Zbl 1149.81011
Znojil, Miloslav
2008
Discrete $${\mathcal {PT}}$$-symmetric models of scattering. Zbl 1149.81366
Znojil, Miloslav
2008
Horizons of stability. Zbl 1140.81372
Znojil, Miloslav
2008
Special issue: Papers dedicated to the subject of the 6th international workshop on pseudo-Hermitian Hamiltonians in quantum physics (PHHQP VI), London, UK, 16–18 July 2007. Zbl 1143.81301
Fring, Andreas (ed.); Jones, Hugh (ed.); Znojil, Miloslav (ed.)
2008
Classification of the conditionally observable spectra exhibiting central symmetry. Zbl 1220.81105
Chen, Jun-Hua; Pelantová, Edita; Znojil, Miloslav
2008
Identification of observables in quantum toboggans. Zbl 1139.81032
Znojil, Miloslav
2008
On the role of the normalization factors $$\kappa_n$$ and of the pseudo-metric $${\mathcal P}\neq{\mathcal P}^†$$ in crypto-Hermitian quantum models. Zbl 1133.81020
Znojil, Miloslav
2008
A return to observability near exceptional points in a schematic $$\mathcal P\mathcal T$$-symmetric model. Zbl 1248.81050
Znojil, Miloslav
2007
Maximal couplings in $${\mathcal {PT}}$$-symmetric chain models with the real spectrum of energies. Zbl 1115.81030
Znojil, Miloslav
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
Tridiagonal $${\mathcal PT}$$-symmetric $$N$$-by-$$N$$ Hamiltonians and a fine-tuning of their observability domains in the strongly non-hermitian regime. Zbl 1126.81028
Znojil, Miloslav
2007
Conditional observability. Zbl 1248.81010
Znojil, Miloslav
2007
Closed formula for the metric in the Hilbert space of a $$\mathcal{PT}$$-symmetric model. Zbl 1117.81058
Krejcirík, D.; Bíla, H.; Znojil, M.
2006
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
Comment on: “Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings” by A. Nanayakkara. Zbl 1187.81134
Bíla, Hynek; Tater, Miloš; Znojil, Miloslav
2006
Comment on: “Solution of the Dirac equation for the Woods-Saxon potential with spin and pseudospin symmetry” [Phys. Lett. A 338 (2005) 90]. Zbl 1195.81046
Bíla, H.; Jakubský, V.; Znojil, M.
2006
Matching method and exact solvability of discrete $$\mathcal {PT}$$-symmetric square wells. Zbl 1117.81053
Znojil, Miloslav
2006
Exactly solvable models with $$\mathcal{PT}$$-symmetry and with an asymmetric coupling of channels. Zbl 1115.82009
Znojil, Miloslav
2006
Coupled-channel version of the PT-symmetric square well. Zbl 1091.81029
Znojil, Miloslav
2006
$${\mathcal{PT}}$$-symmetric supersymmetry in a solvable short-range model. Zbl 1095.81028
Bagchi, B.; Mallik, S.; Bíla, H.; Jakubský, V.; Znojil, M.; Quesne, C.
2006
On a few new quantization recipes using $$\mathcal{PT}$$-symmetry. Zbl 1117.81331
Znojil, Miloslav
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
Geyer, H. (ed.); Heiss, D. (ed.); Znojil, M. (ed.)
2006
MHD $$\alpha^{2}$$-dynamo, squire equation and $$\mathcal{PT}$$-symmetric interpolation between square well and harmonic oscillator. Zbl 1110.47026
Günther, Uwe; Stefani, Frank; Znojil, Miloslav
2005
Solvability and $$\mathcal{PT}$$-symmetry in a double-well model with point interactions. Zbl 1072.81058
Znojil, Miloslav; Jakubský, Vít
2005
Solvable $$\mathcal{PT}$$-symmetric model with a tunable interspersion of nonmerging levels. Zbl 1110.81159
Znojil, Miloslav
2005
Construction of $$\mathcal {PT}$$-asymmetric non-hermitian Hamiltonians with CPT symmetry. Zbl 1123.81342
Caliceti, Emanuela; Cannata, Francesco; Znojil, Miloslav; Ventura, Alberto
2005
Trigonometric identities, angular Schrödinger equations and a new family of solvable models. Zbl 1123.81419
Jakubský, Vít; Znojil, Miloslav; Luís, Euclides Augusto; Kleefeld, Frieder
2005
Special issue: Proceedings of the 3rd International Workshop Pseudo-Hermitian Hamiltonians in Quantum Physics, Koç University, Istanbul, Turkey, June 20-22, 2005. Zbl 1181.81006
Znojil, Miloslav (ed.)
2005
$$\mathcal{PT}$$-symmetric quantum toboggans. Zbl 1222.81170
Znojil, Miloslav
2005
Perturbation method for non-square Hamiltonians and its application to polynomial oscillators. Zbl 1171.81381
Znojil, Miloslav
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
Fragile $$\mathcal P\mathcal T$$-symmetry in a solvable model. Zbl 1064.81033
Znojil, Miloslav
2004
$${\mathcal P}{\mathcal T}$$-symmetric regularizations in supersymmetric quantum mechanics. Zbl 1064.81063
Znojil, Miloslav
2004
Linear representation of energy-dependent Hamiltonians. Zbl 1161.81355
Znojil, Miloslav
2004
New type of exact solvability and of a hidden nonlinear dynamical symmetry in anharmonic oscillators. Zbl 1092.81063
Znojil, M.; Yanovich, D.
2004
Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation. Zbl 1077.81045
Znojil, Miloslav
2004
Solvable simulation of a double-well problem in $${\mathcal{PT}}$$-symmetric quantum mechanics. Zbl 1052.81104
Znojil, Miloslav
2003
$$\mathcal{PT}$$ symmetric models in more dimensions and solvable square-well versions of their angular Schrödinger equations. Zbl 1029.81020
Znojil, Miloslav
2003
Re-establishing supersymmetry between harmonic oscillators in $$D{\neq}$$1 dimensions. Zbl 1044.81129
Znojil, Miloslav
2003
New exact solutions for polynomial oscillators in large dimensions. Zbl 1030.81003
Znojil, Miloslav; Yanovich, Denis; Gerdt, Vladimir P.
2003
Comment on “Supersymmetry and singular potentials” by Das and Pernice. Zbl 1034.81022
Znojil, Miloslav
2003
The interplay of supersymmetry and $$\mathcal P\mathcal T$$ symmetry in quantum mechanics: a case study for the Scarf II potential. Zbl 1044.81578
Lévai, G.; Znojil, M.
2002
Asymptotic solvability of an imaginary cubic oscillator with spikes. Zbl 1066.81006
Znojil, Miloslav; Gemperle, František; Mustafa, Omar
2002
$${\mathcal {PT}}$$-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes. Zbl 1042.81019
Mustafa, Omar; Znojil, Miloslav
2002
Non-Hermitian supersymmetry and singular, $$\mathcal{PT}$$-symmetrized oscillators. Zbl 1026.81018
Znojil, Miloslav
2002
Generalized $${\mathcal {PT}}$$ symmetry. Zbl 1068.81613
Znojil, M.
2002
Generalized Rayleigh-Schrödinger perturbation theory as a method of linearization of the so called quasi-exactly solvable models. Zbl 1040.81018
Znojil, Miloslav
2002
Conditions for complex spectra in a class of $$PT$$ symmetric potentials. Zbl 1138.81390
Lévai, G.; Znojil, M.
2001
PT-symmetric square well. Zbl 0969.81521
Znojil, M.
2001
Generalized continuity equation and modified normalization in $$PT$$-symmetric quantum mechanics. Zbl 1138.81375
Bagchi, B.; Quesne, C.; Znojil, M.
2001
Spontaneous breakdown of $$PT$$ symmetry in the solvable square-well model. Zbl 1138.81404
Znojil, M.; Lévai, G.
2001
Complex Calogero model with real energies. Zbl 0970.81022
Znojil, Miloslav; Tater, Miloš
2001
Comprehensive analysis of conditionally exactly solvable models. Zbl 1015.81019
Roychoudhury, Rajkumar; Roy, Pinaki; Znojil, Miloslav; Lévai, Géza
2001
Anomalous doublets of states in a PT symmetric quantum model. Zbl 0973.81014
Znojil, Miloslav; Lévai, Géza; Roy, Pinaki; Roychoudhury, Rajkumar
2001
Pöschl-Teller paradoxes. Zbl 0990.81034
Znojil, Miloslav
2001
Eight exactly solvable complex potentials in Bender-Boettcher quantum mechanics. Zbl 0977.81011
Znojil, Miloslav
2001
Systematic search for $$\mathcal{PT}$$-symmetric potentials with real energy spectra. Zbl 0963.81012
Lévai, Géza; Znojil, Miloslav
2000
...and 51 more Documents
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#### Cited by 449 Authors

 73 Znojil, Miloslav 18 Bagchi, Bijan Kumar 17 Bagarello, Fabio 15 Quesne, Christiane 14 Lévai, Géza 14 Sever, Ramazan 8 Fernández, Francisco Marcelo 8 Roy, Pinaki 8 Siegl, Petr 7 Ikhdair, Sameer M. 7 Krejčiřík, David 7 Mustafa, Omar 7 Ružička, František 6 Borisov, Denis Ivanovich 6 Cannata, Francesco 6 Mazharimousavi, S. Habib 6 Zarrinkamar, Saber 5 Fring, Andreas 5 Garcia, Javier G. 5 Hassanabadi, Hassan 5 Jia, Chunsheng 5 Maamache, Mustapha 5 Mallik, Saurav 5 Mandal, Bhabani Prasad 5 Mostafazadeh, Ali 5 Roychoudhury, Rajkumar 5 Samsonov, Boris F. 5 Sinha, Anjana 4 Bender, Carl M. 4 Caliceti, Emanuela 4 Dehesa, Jesús S. 4 Ergun, Ebru 4 Günther, Uwe 4 Hall, Richard L. 4 Khare, Avinash 4 Liu, Jianyi 4 Lotoreichik, Vladimir 4 Plyushchay, Mikhail S. 4 Rahimov, H. 4 Rañada, Manuel F. 4 Saad, Nasser 4 Tater, Miloš 4 Trapani, Camillo 4 Yeşiltaş, Özlem 3 Ahmed, Zafar 3 Aktaş, Metin 3 Cariñena, José F. 3 Sobreira de Araujo Corrêa, Francisco Julio 3 Fakhri, Hossein 3 Gargano, Francesco 3 Geyer, Hendrik B. 3 Ghosh, Pijush Kanti 3 Jakubský, Vít 3 Jia, Jiteng 3 Koussa, Walid 3 Leach, Peter Gavin Lawrence 3 Maghsoodi, Elham 3 Marquette, Ian 3 Nanayakkara, Asiri 3 Pham Viet Hai 3 Pogosyan, George S. 3 Putinar, Mihai 3 Rajabi, Ali Akbar 3 Santander, Mariano 3 Veliev, Oktay Alish 3 Ventura, Alberto 3 Yan, Zhenya 2 Amore, Paolo 2 Antoine, Jean-Pierre 2 Arda, Altuğ 2 Banerjee, Abhijit 2 Bebiano, Natália Isabel Quadros 2 Bhattacharyya, Kamal 2 Boussekkine, Naima 2 Chung, Won-Sang 2 da Providência Santarém e Costa, João 2 Dehdashti, Shahram 2 Exner, Pavel 2 Ghosh, Dona 2 Graffi, Sandro 2 Hassouni, S. 2 Jones, Hugh F. 2 Katatbeh, Qutaibeh Deeb 2 Kaushal, Radhey S. 2 Kuzhel, Sergii 2 Lechtenfeld, Olaf 2 Mahdifar, Ali 2 Mana, Naima 2 Mateos Guilarte, Juan 2 Mecherout, Nawal 2 Mityagin, Boris Samuilovich 2 Nathan, Joseph Amal 2 Ocak, Sema Bilge 2 Olendski, Oleg 2 Panigrahi, Prasanta K. 2 Ramond, Thierry 2 Rodionov, Vasiliy N. 2 Rosas-Ortiz, Oscar 2 Saidi, Hanane 2 Sánchez-Ruiz, Jorge ...and 349 more Authors
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#### Cited in 69 Serials

 69 Physics Letters. A 68 Journal of Mathematical Physics 48 International Journal of Theoretical Physics 27 Modern Physics Letters A 27 Annals of Physics 12 Journal of Mathematical Chemistry 11 Journal of Physics A: Mathematical and Theoretical 9 International Journal of Modern Physics A 9 Czechoslovak Journal of Physics 9 Advances in High Energy Physics 5 Reports on Mathematical Physics 5 Theoretical and Mathematical Physics 5 Journal of Computational and Applied Mathematics 5 Journal of High Energy Physics 5 International Journal of Geometric Methods in Modern Physics 4 Physics Letters. B 4 Chaos 3 International Journal of Modern Physics B 3 Letters in Mathematical Physics 3 Applied Mathematics and Computation 3 Integral Equations and Operator Theory 2 Journal of Mathematical Analysis and Applications 2 Journal of Differential Equations 2 Mathematical Physics, Analysis and Geometry 2 Physical Review Letters 2 Advances in Mathematical Physics 2 Symmetry 1 Biological Cybernetics 1 Computers & Mathematics with Applications 1 Journal of Engineering Mathematics 1 Mathematical Notes 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Fortschritte der Physik 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 St. Petersburg Mathematical Journal 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 The Journal of Fourier Analysis and Applications 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Regular and Chaotic Dynamics 1 Annales Henri Poincaré 1 International Journal of Modern Physics C 1 Journal of Modern Optics 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods and Function Theory 1 Central European Journal of Mathematics 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Journal of Function Spaces and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Complex Analysis and Operator Theory 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Physical Review A, Third Series 1 Analysis and Mathematical Physics 1 Annalen der Physik 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Advances in Operator Theory
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#### Cited in 37 Fields

 344 Quantum theory (81-XX) 60 Partial differential equations (35-XX) 47 Ordinary differential equations (34-XX) 42 Operator theory (47-XX) 21 Statistical mechanics, structure of matter (82-XX) 17 Special functions (33-XX) 17 Mechanics of particles and systems (70-XX) 15 Functional analysis (46-XX) 15 Numerical analysis (65-XX) 11 Dynamical systems and ergodic theory (37-XX) 6 Difference and functional equations (39-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Optics, electromagnetic theory (78-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Number theory (11-XX) 3 Topological groups, Lie groups (22-XX) 3 Sequences, series, summability (40-XX) 3 Information and communication theory, circuits (94-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

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