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Author ID: znojil.miloslav Recent zbMATH articles by "Znojil, Miloslav"
Published as: Znojil, Miloslav; Znojil, M.
External Links: MGP

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152 Publications have been cited 855 times in 398 Documents Cited by Year
\(\mathcal P\mathcal T\)-symmetric harmonic oscillators. Zbl 0948.81535
Znojil, Miloslav
37
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.
34
2006
Non-selfadjoint operators in quantum physics. Mathematical aspects. Zbl 1329.81021
34
2015
Systematic search for \(\mathcal{PT}\)-symmetric potentials with real energy spectra. Zbl 0963.81012
Lévai, Géza; Znojil, Miloslav
30
2000
A family of complex potentials with real spectrum. Zbl 0943.34075
Fernández, F. M.; Guardiola, R.; Ros, J.; Znojil, M.
29
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.
26
1998
Conditions for complex spectra in a class of \(PT\) symmetric potentials. Zbl 1138.81390
Lévai, G.; Znojil, M.
23
2001
PT-symmetric square well. Zbl 0969.81521
Znojil, M.
22
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.
21
2002
Generalized continuity equation and modified normalization in \(PT\)-symmetric quantum mechanics. Zbl 1138.81375
Bagchi, B.; Quesne, C.; Znojil, M.
17
2001
Exact solution for Morse oscillator in \(\mathcal P\mathcal T\)-symmetric quantum mechanics. Zbl 0949.81020
Znojil, Miloslav
16
1999
Supersymmetry without Hermiticity within \(\mathcal{PT}\) symmetric quantum mechanics. Zbl 1031.81523
Znojil, Miloslav; Cannata, Francesco; Bagchi, Bijan; Roychoudhury, Rajkumar
15
2000
Three-Hilbert-space formulation of quantum mechanics. Zbl 1160.81017
Znojil, Miloslav
15
2009
Singular anharmonicities and the analytic continued fractions. II: The potentials \(V(r)=ar^ 2+br^{-4}+cr^{-6}\). Zbl 0711.35104
Znojil, M.
14
1990
Harmonic oscillator well with a screened Coulombic core is quasi-exactly solvable. Zbl 1148.81305
Znojil, Miloslav
12
1999
The Coulomb-harmonic oscillator correspondence in \(\mathcal {PT}\) symmetric quantum mechanics. Zbl 1115.81339
Znojil, Miloslav; Lévai, Géza
12
2000
Spontaneous breakdown of \(PT\) symmetry in the solvable square-well model. Zbl 1138.81404
Znojil, M.; Lévai, G.
12
2001
Complex Calogero model with real energies. Zbl 0970.81022
Znojil, Miloslav; Tater, Miloš
11
2001
Solvable simulation of a double-well problem in \({\mathcal{PT}}\)-symmetric quantum mechanics. Zbl 1052.81104
Znojil, Miloslav
11
2003
Shape invariant potentials with \(\mathcal P\mathcal T\) symmetry. Zbl 0971.81018
Znojil, Miloslav
10
2000
Potential r**2+lambdar**2/(1+gr**2) and the analytic continued fractions. Zbl 0513.35028
Znojil, M.
10
1983
\({\mathcal {PT}}\)-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes. Zbl 1042.81019
Mustafa, Omar; Znojil, Miloslav
9
2002
Comprehensive analysis of conditionally exactly solvable models. Zbl 1015.81019
Roychoudhury, Rajkumar; Roy, Pinaki; Znojil, Miloslav; Lévai, Géza
9
2001
Asymptotic solvability of an imaginary cubic oscillator with spikes. Zbl 1066.81006
Znojil, Miloslav; Gemperle, František; Mustafa, Omar
9
2002
Elementary bound states for the power-law potentials. Zbl 0517.70022
Znojil, M.
9
1982
Non-Hermitian interaction representation and its use in relativistic quantum mechanics. Zbl 1372.81063
Znojil, Miloslav
8
2017
Solvability and \(\mathcal{PT}\)-symmetry in a double-well model with point interactions. Zbl 1072.81058
Znojil, Miloslav; Jakubský, Vít
8
2005
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
8
2005
Maximal couplings in \({\mathcal {PT}} \)-symmetric chain models with the real spectrum of energies. Zbl 1115.81030
Znojil, Miloslav
8
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
8
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.
8
2006
Nonlinear pseudo-bosons versus hidden hermiticity. II: The case of unbounded operators. Zbl 1244.81024
Bagarello, Fabio; Znojil, Miloslav
8
2012
\(\mathcal P\mathcal T\)-symmetrically regularized Eckart, Pöschl-Teller and Hulthén potentials. Zbl 1004.81034
Znojil, Miloslav
7
2000
Perturbation method with triangular propagators and anharmonicities of intermediate strength. Zbl 1027.81009
Znojil, Miloslav
7
2000
Non-Hermitian supersymmetry and singular, \(\mathcal{PT}\)-symmetrized oscillators. Zbl 1026.81018
Znojil, Miloslav
7
2002
Complete set of inner products for a discrete \(\mathcal{PT}\)-symmetric square-well Hamiltonian. Zbl 1319.81040
Znojil, Miloslav
7
2009
\(\mathcal {PT}\)-symmetric deformations of Calogero models. Zbl 1151.81023
Fring, Andreas; Znojil, Miloslav
7
2008
Extended continued fractions and energies of the anharmonic oscillators. Zbl 0532.34018
Znojil, M.
7
1983
Three solvable matrix models of a quantum catastrophe. Zbl 1297.81071
Lévai, Géza; Ružička, František; Znojil, Miloslav
7
2014
Quantum catastrophes: A case study. Zbl 1263.81184
Znojil, Miloslav
7
2012
On the elementary Schrödinger bound states and their multiplets. Zbl 0825.35100
Znojil, M.; Leach, P. G. L.
6
1992
Fragile \(\mathcal P\mathcal T\)-symmetry in a solvable model. Zbl 1064.81033
Znojil, Miloslav
6
2004
Solvable \(\mathcal{PT}\)-symmetric model with a tunable interspersion of nonmerging levels. Zbl 1110.81159
Znojil, Miloslav
6
2005
A return to observability near exceptional points in a schematic \(\mathcal P\mathcal T\)-symmetric model. Zbl 1248.81050
Znojil, Miloslav
6
2007
Nonlinear pseudo-bosons versus hidden Hermiticity. Zbl 1228.81166
Bagarello, Fabio; Znojil, Miloslav
6
2011
The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics. Zbl 1407.81097
Krejčiřík, David; Lotoreichik, Vladimir; Znojil, Miloslav
5
2018
Non-Hermitian matrix description of the \(\mathcal P\mathcal T\)-symmetric anharmonic oscillators. Zbl 1047.81517
Znojil, Miloslav
5
1999
Anomalous real spectra of non-Hermitian quantum graphs in a strong-coupling regime. Zbl 1195.81058
Znojil, Miloslav
5
2010
Trigonometric identities, angular Schrödinger equations and a new family of solvable models. Zbl 1123.81419
Jakubský, Vít; Znojil, Miloslav; Luís, Euclides Augusto; Kleefeld, Frieder
5
2005
Construction of \(\mathcal {PT}\)-asymmetric non-hermitian Hamiltonians with CPT symmetry. Zbl 1123.81342
Caliceti, Emanuela; Cannata, Francesco; Znojil, Miloslav; Ventura, Alberto
5
2005
Matching method and exact solvability of discrete \(\mathcal {PT}\)-symmetric square wells. Zbl 1117.81053
Znojil, Miloslav
5
2006
An exactly solvable quantum-lattice model with a tunable degree of nonlocality. Zbl 1208.81096
Znojil, Miloslav
5
2011
Non-self-adjoint Schrödinger operators with nonlocal one-point interactions. Zbl 06841261
Kuzhel, Sergii; Znojil, Miloslav
5
2017
On exact solutions of the Schrödinger equation. Zbl 0528.35027
Znojil, M.
5
1983
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
5
2006
Coupled-channel version of the PT-symmetric square well. Zbl 1091.81029
Znojil, Miloslav
5
2006
Quantum inner-product metrics via the recurrent solution of the Dieudonné equation. Zbl 1237.81077
Znojil, Miloslav
5
2012
Singular anharmonicities and the analytic continued fractions. Zbl 0692.35108
Znojil, M.
5
1989
Exactly solvable models with \(\mathcal{PT}\)-symmetry and with an asymmetric coupling of channels. Zbl 1115.82009
Znojil, Miloslav
5
2006
Two patterns of \(\mathcal{PT}\)-symmetry breakdown in a non-numerical six-state simulation. Zbl 1390.81172
Znojil, Miloslav; Borisov, Denis I.
4
2018
Bound states in the Kratzer plus polynomial potentials and the new form of perturbation theory. Zbl 1048.81505
Znojil, Miloslav
4
1999
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.
4
1991
Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms. Zbl 0954.81060
Znojil, Miloslav
4
2000
Anomalous doublets of states in a PT symmetric quantum model. Zbl 0973.81014
Znojil, Miloslav; Lévai, Géza; Roy, Pinaki; Roychoudhury, Rajkumar
4
2001
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.
4
2006
Exact solution of the Schrödinger and Klein-Gordon equations for generalised Hulthen potentials. Zbl 0462.35076
Znojil, M.
4
1981
Scattering in the \({\mathcal PT} \)-symmetric Coulomb potential. Zbl 1168.81413
Lévai, Géza; Siegl, Petr; Znojil, Miloslav
4
2009
Horizons of stability. Zbl 1140.81372
Znojil, Miloslav
4
2008
Non-self-adjoint operators in quantum physics: ideas, people, and trends. Zbl 1355.81082
Znojil, Miloslav
4
2015
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
4
2013
On eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin layer. Zbl 1371.35178
Borisov, Denis I.; Znojil, Miloslav
4
2017
On the power-series construction of bound states. I: The energies as zeros of the infinite Hill determinants. Zbl 0666.34066
Znojil, M.
4
1988
\(N\)-site-lattice analogues of \(V(x) = \text ix^3\). Zbl 1243.81076
Znojil, Miloslav
4
2012
Multiply degenerate exceptional points and quantum phase transitions. Zbl 1329.81037
Borisov, Denis I.; Ružička, František; Znojil, Miloslav
4
2015
Generalized Bose-Hubbard Hamiltonians exhibiting a complete non-Hermitian degeneracy. Zbl 1414.81113
Znojil, Miloslav
3
2019
\({\mathcal P}{\mathcal T}\)-symmetric regularizations in supersymmetric quantum mechanics. Zbl 1064.81063
Znojil, Miloslav
3
2004
Quantum exotic: A repulsive and bottomless confining potential. Zbl 0928.34064
Znojil, Miloslav
3
1998
The exact bound-state ansaetze as zero-order approximations in perturbation theory. I: The formalism and Padé oscillators. Zbl 1001.81511
Znojil, M.
3
1991
\({\mathcal{PT}}\)-symmetric supersymmetry in a solvable short-range model. Zbl 1095.81028
Bagchi, B.; Mallik, S.; Bíla, H.; Jakubský, V.; Znojil, M.; Quesne, C.
3
2006
Discrete \({\mathcal {PT}} \)-symmetric models of scattering. Zbl 1149.81366
Znojil, Miloslav
3
2008
Analytic solutions of the general anharmonic-oscillator problem. Zbl 0491.34010
Znojil, M.
3
1981
Continued fractions and the potential models of confinement - reply to a comment. Zbl 0528.35026
Znojil, M.
3
1983
Smeared quantum lattices exhibiting \(\mathscr{PT}\)-symmetry with positive \(\mathscr{P}\). Zbl 1338.81426
Znojil, M.; Geyer, H. B.
3
2013
Solvable non-Hermitian discrete square well with closed-form physical inner product. Zbl 1315.81044
Znojil, Miloslav
3
2014
The generalized continued fractions and potentials of the Lennard-Jones type. Zbl 0708.47035
Znojil, Miloslav
3
1990
Topology-controlled spectra of imaginary cubic oscillators in the large-\(\ell \) approach. Zbl 1235.81076
Znojil, Miloslav
3
2010
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
3
2016
Non-Hermitian Heisenberg representation. Zbl 1364.81125
Znojil, Miloslav
3
2015
Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels. Zbl 1423.35358
Znojil, Miloslav; Ružička, František; Zloshchastiev, Konstantin G.
3
2017
The anharmonic oscillator problem: a new algebraic solution. Zbl 0574.34018
Znojil, M.; Sandler, K.; Tater, M.
3
1985
Quantization of big bang in crypto-Hermitian Heisenberg picture. Zbl 1402.83125
Znojil, Miloslav
2
2016
Parity-time symmetry and the toy models of gain-loss dynamics near the real Kato’s exceptional points. Zbl 1373.81216
Znojil, Miloslav
2
2016
Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation. Zbl 1077.81045
Znojil, Miloslav
2
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
2
1996
A new efficient method for calculating perturbation energies using functions which are not quadratically integrable (with comment by Miloslav Znojil). Zbl 0943.81502
Skála, L.; Čížek, J.
2
1996
Padé oscillators and a new formulation of perturbation theory. Zbl 0783.47075
Znojil, M.
2
1988
A quick perturbative method for Schrödinger equations. Zbl 0927.34076
Znojil, Miloslav
2
1997
One-dimensional Schrödinger equation and its ”exact” representation on a discrete lattice. Zbl 1037.81531
Znojil, Miloslav
2
1996
Spiked and screened oscillators \(V(r)= Ar^2+ B/r^2+ C/r^4+ D/r^6+ F/(1+Gr)^2\) and their elementary bound sates. Zbl 1044.81560
Znojil, Miloslav; Roychoudhury, Rajkumar
2
1998
Spiked and \(\mathcal{PT}\)-symmetrized decadic potentials supporting elementary \(N\)-plets of bound states. Zbl 0963.81013
Znojil, Miloslav
2
2000
Bifurcations of thresholds in essential spectra of elliptic operators under localized non-Hermitian perturbations. Zbl 1468.35050
Borisov, D. I.; Zezyulin, D. A.; Znojil, M.
1
2021
Passage through exceptional point: case study. Zbl 1472.81096
Znojil, Miloslav
1
2020
Generalized Bose-Hubbard Hamiltonians exhibiting a complete non-Hermitian degeneracy. Zbl 1414.81113
Znojil, Miloslav
3
2019
The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics. Zbl 1407.81097
Krejčiřík, David; Lotoreichik, Vladimir; Znojil, Miloslav
5
2018
Two patterns of \(\mathcal{PT}\)-symmetry breakdown in a non-numerical six-state simulation. Zbl 1390.81172
Znojil, Miloslav; Borisov, Denis I.
4
2018
Hermitian-non-Hermitian interfaces in quantum theory. Zbl 1404.81106
Znojil, Miloslav
1
2018
Non-Hermitian interaction representation and its use in relativistic quantum mechanics. Zbl 1372.81063
Znojil, Miloslav
8
2017
Non-self-adjoint Schrödinger operators with nonlocal one-point interactions. Zbl 06841261
Kuzhel, Sergii; Znojil, Miloslav
5
2017
On eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin layer. Zbl 1371.35178
Borisov, Denis I.; Znojil, Miloslav
4
2017
Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels. Zbl 1423.35358
Znojil, Miloslav; Ružička, František; Zloshchastiev, Konstantin G.
3
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
3
2016
Quantization of big bang in crypto-Hermitian Heisenberg picture. Zbl 1402.83125
Znojil, Miloslav
2
2016
Parity-time symmetry and the toy models of gain-loss dynamics near the real Kato’s exceptional points. Zbl 1373.81216
Znojil, Miloslav
2
2016
Mathematical and physical meaning of the crossings of energy levels in \(\mathcal {PT}\)-symmetric systems. Zbl 1402.81149
Borisov, Denis I.; Znojil, Miloslav
1
2016
Markov constant and quantum instabilities. Zbl 1342.81126
Pelantová, Edita; Starosta, Štěpán; Znojil, Miloslav
1
2016
Morse potential, symmetric Morse potential and bracketed bound-state energies. Zbl 1339.81053
Znojil, Miloslav
1
2016
Symmetrized exponential oscillator. Zbl 1351.81046
Znojil, Miloslav
1
2016
Non-selfadjoint operators in quantum physics. Mathematical aspects. Zbl 1329.81021
34
2015
Non-self-adjoint operators in quantum physics: ideas, people, and trends. Zbl 1355.81082
Znojil, Miloslav
4
2015
Multiply degenerate exceptional points and quantum phase transitions. Zbl 1329.81037
Borisov, Denis I.; Ružička, František; Znojil, Miloslav
4
2015
Non-Hermitian Heisenberg representation. Zbl 1364.81125
Znojil, Miloslav
3
2015
\(\mathcal{PT}\)-symmetric model with an interplay between kinematical and dynamical non-localities. Zbl 1315.81042
Znojil, Miloslav
2
2015
Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions. Zbl 1360.81186
Znojil, Miloslav
2
2015
Exploring branched Hamiltonians for a class of nonlinear systems. Zbl 1346.81049
Bagchi, Bijan; Modak, Subhrajit; Panigrahi, Prasanta K.; Ruzicka, František; Znojil, Miloslav
1
2015
Three solvable matrix models of a quantum catastrophe. Zbl 1297.81071
Lévai, Géza; Ružička, František; Znojil, Miloslav
7
2014
Solvable non-Hermitian discrete square well with closed-form physical inner product. Zbl 1315.81044
Znojil, Miloslav
3
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
1
2014
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
4
2013
Smeared quantum lattices exhibiting \(\mathscr{PT}\)-symmetry with positive \(\mathscr{P}\). Zbl 1338.81426
Znojil, M.; Geyer, H. B.
3
2013
Nonlinear pseudo-bosons versus hidden hermiticity. II: The case of unbounded operators. Zbl 1244.81024
Bagarello, Fabio; Znojil, Miloslav
8
2012
Quantum catastrophes: A case study. Zbl 1263.81184
Znojil, Miloslav
7
2012
Quantum inner-product metrics via the recurrent solution of the Dieudonné equation. Zbl 1237.81077
Znojil, Miloslav
5
2012
\(N\)-site-lattice analogues of \(V(x) = \text ix^3\). Zbl 1243.81076
Znojil, Miloslav
4
2012
Open problems: Matrix Hamiltonians with a chance of being complex symmetric. Zbl 1262.81056
Znojil, Miloslav
1
2012
Nonlinear pseudo-bosons versus hidden Hermiticity. Zbl 1228.81166
Bagarello, Fabio; Znojil, Miloslav
6
2011
An exactly solvable quantum-lattice model with a tunable degree of nonlocality. Zbl 1208.81096
Znojil, Miloslav
5
2011
Cryptohermitian Hamiltonians on graphs. Zbl 1228.81167
Znojil, Miloslav
2
2011
Planarizable supersymmetric quantum toboggans. Zbl 1217.81102
Znojil, Miloslav
1
2011
The crypto-Hermitian smeared-coordinate representation of wave functions. Zbl 1252.81063
Znojil, Miloslav
1
2011
Symbolic-manipulation constructions of Hilbert-space metrics in quantum mechanics. Zbl 1308.81009
Znojil, Miloslav
1
2011
Discrete quantum square well of the first kind. Zbl 1242.81080
Znojil, Miloslav
1
2011
Anomalous real spectra of non-Hermitian quantum graphs in a strong-coupling regime. Zbl 1195.81058
Znojil, Miloslav
5
2010
Topology-controlled spectra of imaginary cubic oscillators in the large-\(\ell \) approach. Zbl 1235.81076
Znojil, Miloslav
3
2010
Three-Hilbert-space formulation of quantum mechanics. Zbl 1160.81017
Znojil, Miloslav
15
2009
Complete set of inner products for a discrete \(\mathcal{PT}\)-symmetric square-well Hamiltonian. Zbl 1319.81040
Znojil, Miloslav
7
2009
Scattering in the \({\mathcal PT} \)-symmetric Coulomb potential. Zbl 1168.81413
Lévai, Géza; Siegl, Petr; Znojil, Miloslav
4
2009
Asymptotically vanishing -symmetric potentials and negative-mass Schrödinger equations. Zbl 1229.81084
Znojil, Miloslav; Siegl, Petr; Lévai, Géza
2
2009
Cryptohermitian picture of scattering using quasilocal metric operators. Zbl 1188.81161
Znojil, Miloslav
1
2009
\(\mathcal {PT}\)-symmetric deformations of Calogero models. Zbl 1151.81023
Fring, Andreas; Znojil, Miloslav
7
2008
Horizons of stability. Zbl 1140.81372
Znojil, Miloslav
4
2008
Discrete \({\mathcal {PT}} \)-symmetric models of scattering. Zbl 1149.81366
Znojil, Miloslav
3
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
2
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
2
2008
Identification of observables in quantum toboggans. Zbl 1139.81032
Znojil, Miloslav
1
2008
Classification of the conditionally observable spectra exhibiting central symmetry. Zbl 1220.81105
Chen, Jun-Hua; Pelantová, Edita; Znojil, Miloslav
1
2008
Maximal couplings in \({\mathcal {PT}} \)-symmetric chain models with the real spectrum of energies. Zbl 1115.81030
Znojil, Miloslav
8
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
8
2007
A return to observability near exceptional points in a schematic \(\mathcal P\mathcal T\)-symmetric model. Zbl 1248.81050
Znojil, Miloslav
6
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.
2
2007
Conditional observability. Zbl 1248.81010
Znojil, Miloslav
2
2007
Determination of the domain of the admissible matrix elements in the four-dimensional-symmetric anharmonic model. Zbl 1209.81182
Znojil, Miloslav
1
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.
34
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.
8
2006
Matching method and exact solvability of discrete \(\mathcal {PT}\)-symmetric square wells. Zbl 1117.81053
Znojil, Miloslav
5
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
5
2006
Coupled-channel version of the PT-symmetric square well. Zbl 1091.81029
Znojil, Miloslav
5
2006
Exactly solvable models with \(\mathcal{PT}\)-symmetry and with an asymmetric coupling of channels. Zbl 1115.82009
Znojil, Miloslav
5
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.
4
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.
3
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
Solvability and \(\mathcal{PT}\)-symmetry in a double-well model with point interactions. Zbl 1072.81058
Znojil, Miloslav; Jakubský, Vít
8
2005
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
8
2005
Solvable \(\mathcal{PT}\)-symmetric model with a tunable interspersion of nonmerging levels. Zbl 1110.81159
Znojil, Miloslav
6
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
5
2005
Construction of \(\mathcal {PT}\)-asymmetric non-hermitian Hamiltonians with CPT symmetry. Zbl 1123.81342
Caliceti, Emanuela; Cannata, Francesco; Znojil, Miloslav; Ventura, Alberto
5
2005
Perturbation method for non-square Hamiltonians and its application to polynomial oscillators. Zbl 1171.81381
Znojil, Miloslav
2
2005
\(\mathcal{PT}\)-symmetric quantum toboggans. Zbl 1222.81170
Znojil, Miloslav
2
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
2
2005
Fragile \(\mathcal P\mathcal T\)-symmetry in a solvable model. Zbl 1064.81033
Znojil, Miloslav
6
2004
\({\mathcal P}{\mathcal T}\)-symmetric regularizations in supersymmetric quantum mechanics. Zbl 1064.81063
Znojil, Miloslav
3
2004
Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation. Zbl 1077.81045
Znojil, Miloslav
2
2004
New type of exact solvability and of a hidden nonlinear dynamical symmetry in anharmonic oscillators. Zbl 1092.81063
Znojil, M.; Yanovich, D.
1
2004
Linear representation of energy-dependent Hamiltonians. Zbl 1161.81355
Znojil, Miloslav
1
2004
Solvable simulation of a double-well problem in \({\mathcal{PT}}\)-symmetric quantum mechanics. Zbl 1052.81104
Znojil, Miloslav
11
2003
\(\mathcal{PT}\) symmetric models in more dimensions and solvable square-well versions of their angular Schrödinger equations. Zbl 1029.81020
Znojil, Miloslav
2
2003
Comment on “Supersymmetry and singular potentials” by Das and Pernice. Zbl 1034.81022
Znojil, Miloslav
1
2003
New exact solutions for polynomial oscillators in large dimensions. Zbl 1030.81003
Znojil, Miloslav; Yanovich, Denis; Gerdt, Vladimir P.
1
2003
Re-establishing supersymmetry between harmonic oscillators in \(D{\neq}\)1 dimensions. Zbl 1044.81129
Znojil, Miloslav
1
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.
21
2002
\({\mathcal {PT}}\)-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes. Zbl 1042.81019
Mustafa, Omar; Znojil, Miloslav
9
2002
Asymptotic solvability of an imaginary cubic oscillator with spikes. Zbl 1066.81006
Znojil, Miloslav; Gemperle, František; Mustafa, Omar
9
2002
Non-Hermitian supersymmetry and singular, \(\mathcal{PT}\)-symmetrized oscillators. Zbl 1026.81018
Znojil, Miloslav
7
2002
Generalized \({\mathcal {PT}}\) symmetry. Zbl 1068.81613
Znojil, M.
1
2002
Conditions for complex spectra in a class of \(PT\) symmetric potentials. Zbl 1138.81390
Lévai, G.; Znojil, M.
23
2001
PT-symmetric square well. Zbl 0969.81521
Znojil, M.
22
2001
Generalized continuity equation and modified normalization in \(PT\)-symmetric quantum mechanics. Zbl 1138.81375
Bagchi, B.; Quesne, C.; Znojil, M.
17
2001
Spontaneous breakdown of \(PT\) symmetry in the solvable square-well model. Zbl 1138.81404
Znojil, M.; Lévai, G.
12
2001
Complex Calogero model with real energies. Zbl 0970.81022
Znojil, Miloslav; Tater, Miloš
11
2001
Comprehensive analysis of conditionally exactly solvable models. Zbl 1015.81019
Roychoudhury, Rajkumar; Roy, Pinaki; Znojil, Miloslav; Lévai, Géza
9
2001
Anomalous doublets of states in a PT symmetric quantum model. Zbl 0973.81014
Znojil, Miloslav; Lévai, Géza; Roy, Pinaki; Roychoudhury, Rajkumar
4
2001
...and 52 more Documents
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Cited by 427 Authors

69 Znojil, Miloslav
16 Bagarello, Fabio
15 Bagchi, Bijan Kumar
14 Quesne, Christiane
14 Sever, Ramazan
12 Lévai, Géza
9 Fernández, Francisco Marcelo
8 Borisov, Denis Ivanovich
7 Ikhdair, Sameer M.
7 Krejčiřík, David
7 Mustafa, Omar
7 Roy, Pinaki
7 Ružička, František
7 Siegl, Petr
6 Mazharimousavi, S. Habib
6 Zarrinkamar, Saber
5 Hassanabadi, Hassan
5 Jakubský, Vít
5 Maamache, Mustapha
5 Mandal, Bhabani Prasad
5 Mostafazadeh, Ali
5 Sinha, Anjana
4 Bender, Carl M.
4 Caliceti, Emanuela
4 Dehesa, Jesús S.
4 Ergun, Ebru
4 Exner, Pavel
4 Fring, Andreas
4 Günther, Uwe
4 Hall, Richard L.
4 Jia, Chunsheng
4 Liu, Jianyi
4 Lotoreichik, Vladimir
4 Plyushchay, Mikhail S.
4 Rahimov, H.
4 Rañada, Manuel F.
4 Saad, Nasser
4 Tater, Miloš
4 Yan, Zhenya
4 Yeşiltaş, Özlem
3 Ahmed, Zafar
3 Aktaş, Metin
3 Amore, Paolo
3 Cannata, Francesco
3 Cariñena, José F.
3 Sobreira de Araujo Corrêa, Francisco Julio
3 Fakhri, Hossein
3 Ghosh, Pijush Kanti
3 Jia, Jiteng
3 Khare, Avinash
3 Koussa, Walid
3 Kuzhel, Sergei
3 Leach, Peter Gavin Lawrence
3 Maghsoodi, Elham
3 Marquette, Ian
3 Nanayakkara, Asiri
3 Pham Viet Hai
3 Putinar, Mihai
3 Rajabi, Ali Akbar
3 Samsonov, Boris F.
3 Santander, Mariano
3 Trapani, Camillo
2 Antoine, Jean-Pierre
2 Arda, Altuğ
2 Banerjee, Abhijit
2 Basu-Mallick, Bireswar
2 Bebiano, Natália Isabel Quadros
2 Belhaj, Skander
2 Bhattacharyya, Kamal
2 Bíla, Hynek
2 Boussekkine, Naima
2 Chen, Yong
2 Chung, Won-Sang
2 Dehdashti, Shahram
2 Demiralp, Ersan
2 Dey, Sanjib
2 Fernández, David J. C.
2 Gargano, Francesco
2 Geyer, Hendrik B.
2 Graffi, Sandro
2 Hcini, Fahd
2 Hussein, Amru
2 Jones, Hugh F.
2 Katatbeh, Qutaibeh Deeb
2 Lechtenfeld, Olaf
2 Mahdifar, Ali
2 Malomed, Boris A.
2 Mana, Naima
2 Mateos Guilarte, Juan
2 Mecherout, Nawal
2 Moakher, Maher
2 Ocak, Sema Bilge
2 Olendski, Oleg
2 Ramond, Thierry
2 Rodionov, Vasiliy N.
2 Rosas-Ortiz, Oscar
2 Roychoudhury, Rajkumar
2 Rybalko, Yan
2 Sánchez-Ruiz, Jorge
2 Schulze-Halberg, Axel
...and 327 more Authors
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Cited in 82 Serials

66 Journal of Mathematical Physics
49 Physics Letters. A
48 International Journal of Theoretical Physics
27 Modern Physics Letters A
24 Annals of Physics
16 Czechoslovak Journal of Physics
14 Journal of Mathematical Chemistry
10 Journal of Physics A: Mathematical and Theoretical
10 Advances in High Energy Physics
9 International Journal of Modern Physics A
5 Theoretical and Mathematical Physics
5 Journal of Computational and Applied Mathematics
5 Journal of High Energy Physics
4 Reports on Mathematical Physics
4 Chaos
3 International Journal of Modern Physics B
3 Letters in Mathematical Physics
3 Integral Equations and Operator Theory
3 International Journal of Geometric Methods in Modern Physics
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Journal of Mathematical Analysis and Applications
2 Nuclear Physics. B
2 Physics Letters. B
2 Applied Mathematics and Computation
2 Journal of Differential Equations
2 Mathematical Physics, Analysis and Geometry
2 Physical Review Letters
2 Advances in Mathematical Physics
2 Symmetry
2 Analysis and Mathematical Physics
1 Biological Cybernetics
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Journal of Engineering Mathematics
1 Mathematical Notes
1 Nonlinearity
1 Physica A
1 Rocky Mountain Journal of Mathematics
1 Fortschritte der Physik
1 Journal of Approximation Theory
1 Journal of Functional Analysis
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Physica D
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
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 Communications in Partial Differential Equations
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 Potential Analysis
1 Calculus of Variations and Partial Differential Equations
1 Russian Journal of Mathematical Physics
1 St. Petersburg Mathematical Journal
1 Computational and Applied Mathematics
1 Turkish Journal of Mathematics
1 Opuscula Mathematica
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 Russian Physics Journal
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 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Journal of Function Spaces and Applications
1 Journal of Mathematical Physics, Analysis, Geometry
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Proceedings of the Steklov Institute of Mathematics
1 Complex Analysis and Operator Theory
1 Banach Journal of Mathematical Analysis
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 Annalen der Physik
1 Quanta
1 Advances in Operator Theory
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Cited in 37 Fields

329 Quantum theory (81-XX)
65 Partial differential equations (35-XX)
45 Operator theory (47-XX)
44 Ordinary differential equations (34-XX)
25 Statistical mechanics, structure of matter (82-XX)
19 Numerical analysis (65-XX)
17 Special functions (33-XX)
17 Mechanics of particles and systems (70-XX)
15 Functional analysis (46-XX)
14 Dynamical systems and ergodic theory (37-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
5 Difference and functional equations (39-XX)
4 Nonassociative rings and algebras (17-XX)
4 Optics, electromagnetic theory (78-XX)
3 Number theory (11-XX)
3 Algebraic geometry (14-XX)
3 Topological groups, Lie groups (22-XX)
3 Sequences, series, summability (40-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Information and communication theory, circuits (94-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 Computer science (68-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 Field theory and polynomials (12-XX)
1 Potential theory (31-XX)
1 Differential geometry (53-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

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