Edit Profile (opens in new tab) Znojil, Miloslav Compute Distance To: Compute Author ID: znojil.miloslav Published as: Znojil, Miloslav; Znojil, M. External Links: MGP Documents Indexed: 207 Publications since 1976, including 1 Book 6 Contributions as Editor · 1 Further Contribution Reviewing Activity: 105 Reviews Co-Authors: 47 Co-Authors with 66 Joint Publications 995 Co-Co-Authors all top 5 Co-Authors 147 single-authored 10 Lévai, Géza 7 Bagchi, Bijan Kumar 7 Jakubský, Vít 6 Bíla, Hynek 6 Borisov, Denis Ivanovich 6 Tater, Miloš 5 Geyer, Hendrik B. 5 Quesne, Christiane 5 Ružička, František 4 Bagarello, Fabio 4 Roychoudhury, Rajkumar 3 Cannata, Francesco 3 Fernández, Francisco Marcelo 3 Guardiola, R. 2 Caliceti, Emanuela 2 Fring, Andreas 2 Günther, Uwe 2 Krejčiřík, David 2 Mustafa, Omar 2 Pelantová, Edita 2 Roy, Pinaki 2 Semorádová, Iveta 2 Siegl, Petr 2 Yanovich, Denis A. 1 Banerjee, Abhijit 1 Chen, Junhua 1 Flynn, M. F. 1 Gazeau, Jean-Pierre 1 Gemperle, František 1 Gerdt, Vladimir Petrovich 1 Jones, Hugh F. 1 Kleefeld, Frieder 1 Kuzhel, Sergei 1 Leach, Peter Gavin Lawrence 1 Lotoreichik, Vladimir 1 Luís, Euclides Augusto 1 Modak, Subhrajit 1 Panigrahi, Prasanta K. 1 Sandler, Karel 1 Sasaki, Ryu 1 Skála, Lubomir 1 Starosta, Štěpán 1 Stefani, Frank 1 Szafraniec, Franciszek Hugon 1 Ventura, Alberto 1 Wu, Junde 1 Zezyulin, Dmitry A. 1 Zloshchastiev, Konstantin G. all top 5 Serials 51 Journal of Physics A: Mathematical and General 34 Physics Letters. A 20 Journal of Physics A: Mathematical and Theoretical 16 Journal of Mathematical Physics 12 Czechoslovak Journal of Physics 9 International Journal of Theoretical Physics 8 Modern Physics Letters A 8 Annals of Physics 5 Physics Letters. B 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 International Journal of Modern Physics A 3 Nuclear Physics. B 3 Journal of Mathematical Chemistry 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Letters in Mathematical Physics 2 International Journal of Pure and Applied Mathematics 2 Symmetry 1 Journal of Engineering Mathematics 1 Fortschritte der Physik 1 Integral Equations and Operator Theory 1 Studies in Applied Mathematics 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 all top 5 Fields 190 Quantum theory (81-XX) 34 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) 9 Statistical mechanics, structure of matter (82-XX) 7 General and overarching topics; collections (00-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Special functions (33-XX) 6 Mechanics of particles and systems (70-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) 3 Relativity and gravitational theory (83-XX) 2 Algebraic geometry (14-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 152 Publications have been cited 855 times in 398 Documents Cited by ▼ Year ▼ \(\mathcal P\mathcal T\)-symmetric harmonic oscillators. Zbl 0948.81535Znojil, Miloslav 37 1999 Closed formula for the metric in the Hilbert space of a \(\mathcal{PT}\)-symmetric model. Zbl 1117.81058Krejcirík, 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 0963.81012Lévai, Géza; Znojil, Miloslav 30 2000 A family of complex potentials with real spectrum. Zbl 0943.34075Fernández, 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 0933.70018Fernández, F. M.; Guardiola, R.; Ros, J.; Znojil, M. 26 1998 Conditions for complex spectra in a class of \(PT\) symmetric potentials. Zbl 1138.81390Lévai, G.; Znojil, M. 23 2001 PT-symmetric square well. Zbl 0969.81521Znojil, 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 1044.81578Lévai, G.; Znojil, M. 21 2002 Generalized continuity equation and modified normalization in \(PT\)-symmetric quantum mechanics. Zbl 1138.81375Bagchi, B.; Quesne, C.; Znojil, M. 17 2001 Exact solution for Morse oscillator in \(\mathcal P\mathcal T\)-symmetric quantum mechanics. Zbl 0949.81020Znojil, Miloslav 16 1999 Supersymmetry without Hermiticity within \(\mathcal{PT}\) symmetric quantum mechanics. Zbl 1031.81523Znojil, Miloslav; Cannata, Francesco; Bagchi, Bijan; Roychoudhury, Rajkumar 15 2000 Three-Hilbert-space formulation of quantum mechanics. Zbl 1160.81017Znojil, Miloslav 15 2009 Singular anharmonicities and the analytic continued fractions. II: The potentials \(V(r)=ar^ 2+br^{-4}+cr^{-6}\). Zbl 0711.35104Znojil, M. 14 1990 Harmonic oscillator well with a screened Coulombic core is quasi-exactly solvable. Zbl 1148.81305Znojil, Miloslav 12 1999 The Coulomb-harmonic oscillator correspondence in \(\mathcal {PT}\) symmetric quantum mechanics. Zbl 1115.81339Znojil, Miloslav; Lévai, Géza 12 2000 Spontaneous breakdown of \(PT\) symmetry in the solvable square-well model. Zbl 1138.81404Znojil, M.; Lévai, G. 12 2001 Complex Calogero model with real energies. Zbl 0970.81022Znojil, Miloslav; Tater, Miloš 11 2001 Solvable simulation of a double-well problem in \({\mathcal{PT}}\)-symmetric quantum mechanics. Zbl 1052.81104Znojil, Miloslav 11 2003 Shape invariant potentials with \(\mathcal P\mathcal T\) symmetry. Zbl 0971.81018Znojil, Miloslav 10 2000 Potential r**2+lambdar**2/(1+gr**2) and the analytic continued fractions. Zbl 0513.35028Znojil, M. 10 1983 \({\mathcal {PT}}\)-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes. Zbl 1042.81019Mustafa, Omar; Znojil, Miloslav 9 2002 Comprehensive analysis of conditionally exactly solvable models. Zbl 1015.81019Roychoudhury, Rajkumar; Roy, Pinaki; Znojil, Miloslav; Lévai, Géza 9 2001 Asymptotic solvability of an imaginary cubic oscillator with spikes. Zbl 1066.81006Znojil, Miloslav; Gemperle, František; Mustafa, Omar 9 2002 Elementary bound states for the power-law potentials. Zbl 0517.70022Znojil, M. 9 1982 Non-Hermitian interaction representation and its use in relativistic quantum mechanics. Zbl 1372.81063Znojil, Miloslav 8 2017 Solvability and \(\mathcal{PT}\)-symmetry in a double-well model with point interactions. Zbl 1072.81058Znojil, Miloslav; Jakubský, Vít 8 2005 MHD \(\alpha^{2}\)-dynamo, squire equation and \(\mathcal{PT}\)-symmetric interpolation between square well and harmonic oscillator. Zbl 1110.47026Günther, Uwe; Stefani, Frank; Znojil, Miloslav 8 2005 Maximal couplings in \({\mathcal {PT}} \)-symmetric chain models with the real spectrum of energies. Zbl 1115.81030Znojil, 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 1126.81028Znojil, 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 1248.81051Znojil, Miloslav; Geyer, Hendrik B. 8 2006 Nonlinear pseudo-bosons versus hidden hermiticity. II: The case of unbounded operators. Zbl 1244.81024Bagarello, Fabio; Znojil, Miloslav 8 2012 \(\mathcal P\mathcal T\)-symmetrically regularized Eckart, Pöschl-Teller and Hulthén potentials. Zbl 1004.81034Znojil, Miloslav 7 2000 Perturbation method with triangular propagators and anharmonicities of intermediate strength. Zbl 1027.81009Znojil, Miloslav 7 2000 Non-Hermitian supersymmetry and singular, \(\mathcal{PT}\)-symmetrized oscillators. Zbl 1026.81018Znojil, Miloslav 7 2002 Complete set of inner products for a discrete \(\mathcal{PT}\)-symmetric square-well Hamiltonian. Zbl 1319.81040Znojil, Miloslav 7 2009 \(\mathcal {PT}\)-symmetric deformations of Calogero models. Zbl 1151.81023Fring, Andreas; Znojil, Miloslav 7 2008 Extended continued fractions and energies of the anharmonic oscillators. Zbl 0532.34018Znojil, M. 7 1983 Three solvable matrix models of a quantum catastrophe. Zbl 1297.81071Lévai, Géza; Ružička, František; Znojil, Miloslav 7 2014 Quantum catastrophes: A case study. Zbl 1263.81184Znojil, Miloslav 7 2012 On the elementary Schrödinger bound states and their multiplets. Zbl 0825.35100Znojil, M.; Leach, P. G. L. 6 1992 Fragile \(\mathcal P\mathcal T\)-symmetry in a solvable model. Zbl 1064.81033Znojil, Miloslav 6 2004 Solvable \(\mathcal{PT}\)-symmetric model with a tunable interspersion of nonmerging levels. Zbl 1110.81159Znojil, Miloslav 6 2005 A return to observability near exceptional points in a schematic \(\mathcal P\mathcal T\)-symmetric model. Zbl 1248.81050Znojil, Miloslav 6 2007 Nonlinear pseudo-bosons versus hidden Hermiticity. Zbl 1228.81166Bagarello, Fabio; Znojil, Miloslav 6 2011 The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics. Zbl 1407.81097Krejčiřík, David; Lotoreichik, Vladimir; Znojil, Miloslav 5 2018 Non-Hermitian matrix description of the \(\mathcal P\mathcal T\)-symmetric anharmonic oscillators. Zbl 1047.81517Znojil, Miloslav 5 1999 Anomalous real spectra of non-Hermitian quantum graphs in a strong-coupling regime. Zbl 1195.81058Znojil, Miloslav 5 2010 Trigonometric identities, angular Schrödinger equations and a new family of solvable models. Zbl 1123.81419Jakubský, Vít; Znojil, Miloslav; Luís, Euclides Augusto; Kleefeld, Frieder 5 2005 Construction of \(\mathcal {PT}\)-asymmetric non-hermitian Hamiltonians with CPT symmetry. Zbl 1123.81342Caliceti, Emanuela; Cannata, Francesco; Znojil, Miloslav; Ventura, Alberto 5 2005 Matching method and exact solvability of discrete \(\mathcal {PT}\)-symmetric square wells. Zbl 1117.81053Znojil, Miloslav 5 2006 An exactly solvable quantum-lattice model with a tunable degree of nonlocality. Zbl 1208.81096Znojil, Miloslav 5 2011 Non-self-adjoint Schrödinger operators with nonlocal one-point interactions. Zbl 06841261Kuzhel, Sergii; Znojil, Miloslav 5 2017 On exact solutions of the Schrödinger equation. Zbl 0528.35027Znojil, M. 5 1983 Comment on: “Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings” by A. Nanayakkara. Zbl 1187.81134Bíla, Hynek; Tater, Miloš; Znojil, Miloslav 5 2006 Coupled-channel version of the PT-symmetric square well. Zbl 1091.81029Znojil, Miloslav 5 2006 Quantum inner-product metrics via the recurrent solution of the Dieudonné equation. Zbl 1237.81077Znojil, Miloslav 5 2012 Singular anharmonicities and the analytic continued fractions. Zbl 0692.35108Znojil, M. 5 1989 Exactly solvable models with \(\mathcal{PT}\)-symmetry and with an asymmetric coupling of channels. Zbl 1115.82009Znojil, Miloslav 5 2006 Two patterns of \(\mathcal{PT}\)-symmetry breakdown in a non-numerical six-state simulation. Zbl 1390.81172Znojil, Miloslav; Borisov, Denis I. 4 2018 Bound states in the Kratzer plus polynomial potentials and the new form of perturbation theory. Zbl 1048.81505Znojil, Miloslav 4 1999 The spiked harmonic oscillator \(V(r)= r^2+ r^{-4}\) as a challenge to perturbation theory. Zbl 1001.81513Flynn, M. F.; Guardiola, R.; Znojil, M. 4 1991 Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms. Zbl 0954.81060Znojil, Miloslav 4 2000 Anomalous doublets of states in a PT symmetric quantum model. Zbl 0973.81014Znojil, 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 1195.81046Bíla, H.; Jakubský, V.; Znojil, M. 4 2006 Exact solution of the Schrödinger and Klein-Gordon equations for generalised Hulthen potentials. Zbl 0462.35076Znojil, M. 4 1981 Scattering in the \({\mathcal PT} \)-symmetric Coulomb potential. Zbl 1168.81413Lévai, Géza; Siegl, Petr; Znojil, Miloslav 4 2009 Horizons of stability. Zbl 1140.81372Znojil, Miloslav 4 2008 Non-self-adjoint operators in quantum physics: ideas, people, and trends. Zbl 1355.81082Znojil, 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 1286.81103Znojil, Miloslav 4 2013 On eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin layer. Zbl 1371.35178Borisov, 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 0666.34066Znojil, M. 4 1988 \(N\)-site-lattice analogues of \(V(x) = \text ix^3\). Zbl 1243.81076Znojil, Miloslav 4 2012 Multiply degenerate exceptional points and quantum phase transitions. Zbl 1329.81037Borisov, Denis I.; Ružička, František; Znojil, Miloslav 4 2015 Generalized Bose-Hubbard Hamiltonians exhibiting a complete non-Hermitian degeneracy. Zbl 1414.81113Znojil, Miloslav 3 2019 \({\mathcal P}{\mathcal T}\)-symmetric regularizations in supersymmetric quantum mechanics. Zbl 1064.81063Znojil, Miloslav 3 2004 Quantum exotic: A repulsive and bottomless confining potential. Zbl 0928.34064Znojil, Miloslav 3 1998 The exact bound-state ansaetze as zero-order approximations in perturbation theory. I: The formalism and Padé oscillators. Zbl 1001.81511Znojil, M. 3 1991 \({\mathcal{PT}}\)-symmetric supersymmetry in a solvable short-range model. Zbl 1095.81028Bagchi, B.; Mallik, S.; Bíla, H.; Jakubský, V.; Znojil, M.; Quesne, C. 3 2006 Discrete \({\mathcal {PT}} \)-symmetric models of scattering. Zbl 1149.81366Znojil, Miloslav 3 2008 Analytic solutions of the general anharmonic-oscillator problem. Zbl 0491.34010Znojil, M. 3 1981 Continued fractions and the potential models of confinement - reply to a comment. Zbl 0528.35026Znojil, M. 3 1983 Smeared quantum lattices exhibiting \(\mathscr{PT}\)-symmetry with positive \(\mathscr{P}\). Zbl 1338.81426Znojil, M.; Geyer, H. B. 3 2013 Solvable non-Hermitian discrete square well with closed-form physical inner product. Zbl 1315.81044Znojil, Miloslav 3 2014 The generalized continued fractions and potentials of the Lennard-Jones type. Zbl 0708.47035Znojil, Miloslav 3 1990 Topology-controlled spectra of imaginary cubic oscillators in the large-\(\ell \) approach. Zbl 1235.81076Znojil, Miloslav 3 2010 One-dimensional Schrödinger equation with non-analytic potential \(V(x)=-g^{2} \exp (-|x|)\) and its exact Bessel-function solvability. Zbl 1352.81028Sasaki, Ryu; Znojil, Miloslav 3 2016 Non-Hermitian Heisenberg representation. Zbl 1364.81125Znojil, Miloslav 3 2015 Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels. Zbl 1423.35358Znojil, Miloslav; Ružička, František; Zloshchastiev, Konstantin G. 3 2017 The anharmonic oscillator problem: a new algebraic solution. Zbl 0574.34018Znojil, M.; Sandler, K.; Tater, M. 3 1985 Quantization of big bang in crypto-Hermitian Heisenberg picture. Zbl 1402.83125Znojil, Miloslav 2 2016 Parity-time symmetry and the toy models of gain-loss dynamics near the real Kato’s exceptional points. Zbl 1373.81216Znojil, Miloslav 2 2016 Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation. Zbl 1077.81045Znojil, Miloslav 2 2004 The screened Coulomb potential \(V(r)=(\alpha+\beta r)/(\gamma+\delta r)\) in a semi-relativistic Pauli-Schrödinger equation. Zbl 0904.34065Znojil, Miloslav 2 1996 A new efficient method for calculating perturbation energies using functions which are not quadratically integrable (with comment by Miloslav Znojil). Zbl 0943.81502Skála, L.; Čížek, J. 2 1996 Padé oscillators and a new formulation of perturbation theory. Zbl 0783.47075Znojil, M. 2 1988 A quick perturbative method for Schrödinger equations. Zbl 0927.34076Znojil, Miloslav 2 1997 One-dimensional Schrödinger equation and its ”exact” representation on a discrete lattice. Zbl 1037.81531Znojil, 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 1044.81560Znojil, Miloslav; Roychoudhury, Rajkumar 2 1998 Spiked and \(\mathcal{PT}\)-symmetrized decadic potentials supporting elementary \(N\)-plets of bound states. Zbl 0963.81013Znojil, Miloslav 2 2000 Bifurcations of thresholds in essential spectra of elliptic operators under localized non-Hermitian perturbations. Zbl 1468.35050Borisov, D. I.; Zezyulin, D. A.; Znojil, M. 1 2021 Passage through exceptional point: case study. Zbl 1472.81096Znojil, Miloslav 1 2020 Generalized Bose-Hubbard Hamiltonians exhibiting a complete non-Hermitian degeneracy. Zbl 1414.81113Znojil, Miloslav 3 2019 The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics. Zbl 1407.81097Krejčiřík, David; Lotoreichik, Vladimir; Znojil, Miloslav 5 2018 Two patterns of \(\mathcal{PT}\)-symmetry breakdown in a non-numerical six-state simulation. Zbl 1390.81172Znojil, Miloslav; Borisov, Denis I. 4 2018 Hermitian-non-Hermitian interfaces in quantum theory. Zbl 1404.81106Znojil, Miloslav 1 2018 Non-Hermitian interaction representation and its use in relativistic quantum mechanics. Zbl 1372.81063Znojil, Miloslav 8 2017 Non-self-adjoint Schrödinger operators with nonlocal one-point interactions. Zbl 06841261Kuzhel, Sergii; Znojil, Miloslav 5 2017 On eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin layer. Zbl 1371.35178Borisov, Denis I.; Znojil, Miloslav 4 2017 Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels. Zbl 1423.35358Znojil, 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 1352.81028Sasaki, Ryu; Znojil, Miloslav 3 2016 Quantization of big bang in crypto-Hermitian Heisenberg picture. Zbl 1402.83125Znojil, Miloslav 2 2016 Parity-time symmetry and the toy models of gain-loss dynamics near the real Kato’s exceptional points. Zbl 1373.81216Znojil, Miloslav 2 2016 Mathematical and physical meaning of the crossings of energy levels in \(\mathcal {PT}\)-symmetric systems. Zbl 1402.81149Borisov, Denis I.; Znojil, Miloslav 1 2016 Markov constant and quantum instabilities. Zbl 1342.81126Pelantová, Edita; Starosta, Štěpán; Znojil, Miloslav 1 2016 Morse potential, symmetric Morse potential and bracketed bound-state energies. Zbl 1339.81053Znojil, Miloslav 1 2016 Symmetrized exponential oscillator. Zbl 1351.81046Znojil, 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 1355.81082Znojil, Miloslav 4 2015 Multiply degenerate exceptional points and quantum phase transitions. Zbl 1329.81037Borisov, Denis I.; Ružička, František; Znojil, Miloslav 4 2015 Non-Hermitian Heisenberg representation. Zbl 1364.81125Znojil, Miloslav 3 2015 \(\mathcal{PT}\)-symmetric model with an interplay between kinematical and dynamical non-localities. Zbl 1315.81042Znojil, Miloslav 2 2015 Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions. Zbl 1360.81186Znojil, Miloslav 2 2015 Exploring branched Hamiltonians for a class of nonlinear systems. Zbl 1346.81049Bagchi, Bijan; Modak, Subhrajit; Panigrahi, Prasanta K.; Ruzicka, František; Znojil, Miloslav 1 2015 Three solvable matrix models of a quantum catastrophe. Zbl 1297.81071Lévai, Géza; Ružička, František; Znojil, Miloslav 7 2014 Solvable non-Hermitian discrete square well with closed-form physical inner product. Zbl 1315.81044Znojil, 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 1308.81085Znojil, 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 1286.81103Znojil, Miloslav 4 2013 Smeared quantum lattices exhibiting \(\mathscr{PT}\)-symmetry with positive \(\mathscr{P}\). Zbl 1338.81426Znojil, M.; Geyer, H. B. 3 2013 Nonlinear pseudo-bosons versus hidden hermiticity. II: The case of unbounded operators. Zbl 1244.81024Bagarello, Fabio; Znojil, Miloslav 8 2012 Quantum catastrophes: A case study. Zbl 1263.81184Znojil, Miloslav 7 2012 Quantum inner-product metrics via the recurrent solution of the Dieudonné equation. Zbl 1237.81077Znojil, Miloslav 5 2012 \(N\)-site-lattice analogues of \(V(x) = \text ix^3\). Zbl 1243.81076Znojil, Miloslav 4 2012 Open problems: Matrix Hamiltonians with a chance of being complex symmetric. Zbl 1262.81056Znojil, Miloslav 1 2012 Nonlinear pseudo-bosons versus hidden Hermiticity. Zbl 1228.81166Bagarello, Fabio; Znojil, Miloslav 6 2011 An exactly solvable quantum-lattice model with a tunable degree of nonlocality. Zbl 1208.81096Znojil, Miloslav 5 2011 Cryptohermitian Hamiltonians on graphs. Zbl 1228.81167Znojil, Miloslav 2 2011 Planarizable supersymmetric quantum toboggans. Zbl 1217.81102Znojil, Miloslav 1 2011 The crypto-Hermitian smeared-coordinate representation of wave functions. Zbl 1252.81063Znojil, Miloslav 1 2011 Symbolic-manipulation constructions of Hilbert-space metrics in quantum mechanics. Zbl 1308.81009Znojil, Miloslav 1 2011 Discrete quantum square well of the first kind. Zbl 1242.81080Znojil, Miloslav 1 2011 Anomalous real spectra of non-Hermitian quantum graphs in a strong-coupling regime. Zbl 1195.81058Znojil, Miloslav 5 2010 Topology-controlled spectra of imaginary cubic oscillators in the large-\(\ell \) approach. Zbl 1235.81076Znojil, Miloslav 3 2010 Three-Hilbert-space formulation of quantum mechanics. Zbl 1160.81017Znojil, Miloslav 15 2009 Complete set of inner products for a discrete \(\mathcal{PT}\)-symmetric square-well Hamiltonian. Zbl 1319.81040Znojil, Miloslav 7 2009 Scattering in the \({\mathcal PT} \)-symmetric Coulomb potential. Zbl 1168.81413Lévai, Géza; Siegl, Petr; Znojil, Miloslav 4 2009 Asymptotically vanishing -symmetric potentials and negative-mass Schrödinger equations. Zbl 1229.81084Znojil, Miloslav; Siegl, Petr; Lévai, Géza 2 2009 Cryptohermitian picture of scattering using quasilocal metric operators. Zbl 1188.81161Znojil, Miloslav 1 2009 \(\mathcal {PT}\)-symmetric deformations of Calogero models. Zbl 1151.81023Fring, Andreas; Znojil, Miloslav 7 2008 Horizons of stability. Zbl 1140.81372Znojil, Miloslav 4 2008 Discrete \({\mathcal {PT}} \)-symmetric models of scattering. Zbl 1149.81366Znojil, 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 1133.81020Znojil, 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 1139.81032Znojil, Miloslav 1 2008 Classification of the conditionally observable spectra exhibiting central symmetry. Zbl 1220.81105Chen, Jun-Hua; Pelantová, Edita; Znojil, Miloslav 1 2008 Maximal couplings in \({\mathcal {PT}} \)-symmetric chain models with the real spectrum of energies. Zbl 1115.81030Znojil, 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 1126.81028Znojil, Miloslav 8 2007 A return to observability near exceptional points in a schematic \(\mathcal P\mathcal T\)-symmetric model. Zbl 1248.81050Znojil, 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 1248.81052Znojil, Miloslav; Geyer, Hendrik B. 2 2007 Conditional observability. Zbl 1248.81010Znojil, Miloslav 2 2007 Determination of the domain of the admissible matrix elements in the four-dimensional-symmetric anharmonic model. Zbl 1209.81182Znojil, Miloslav 1 2007 Closed formula for the metric in the Hilbert space of a \(\mathcal{PT}\)-symmetric model. Zbl 1117.81058Krejcirík, 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 1248.81051Znojil, Miloslav; Geyer, Hendrik B. 8 2006 Matching method and exact solvability of discrete \(\mathcal {PT}\)-symmetric square wells. Zbl 1117.81053Znojil, Miloslav 5 2006 Comment on: “Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings” by A. Nanayakkara. Zbl 1187.81134Bíla, Hynek; Tater, Miloš; Znojil, Miloslav 5 2006 Coupled-channel version of the PT-symmetric square well. Zbl 1091.81029Znojil, Miloslav 5 2006 Exactly solvable models with \(\mathcal{PT}\)-symmetry and with an asymmetric coupling of channels. Zbl 1115.82009Znojil, 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 1195.81046Bíla, H.; Jakubský, V.; Znojil, M. 4 2006 \({\mathcal{PT}}\)-symmetric supersymmetry in a solvable short-range model. Zbl 1095.81028Bagchi, 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 1072.81058Znojil, Miloslav; Jakubský, Vít 8 2005 MHD \(\alpha^{2}\)-dynamo, squire equation and \(\mathcal{PT}\)-symmetric interpolation between square well and harmonic oscillator. Zbl 1110.47026Günther, Uwe; Stefani, Frank; Znojil, Miloslav 8 2005 Solvable \(\mathcal{PT}\)-symmetric model with a tunable interspersion of nonmerging levels. Zbl 1110.81159Znojil, Miloslav 6 2005 Trigonometric identities, angular Schrödinger equations and a new family of solvable models. Zbl 1123.81419Jakubský, Vít; Znojil, Miloslav; Luís, Euclides Augusto; Kleefeld, Frieder 5 2005 Construction of \(\mathcal {PT}\)-asymmetric non-hermitian Hamiltonians with CPT symmetry. Zbl 1123.81342Caliceti, Emanuela; Cannata, Francesco; Znojil, Miloslav; Ventura, Alberto 5 2005 Perturbation method for non-square Hamiltonians and its application to polynomial oscillators. Zbl 1171.81381Znojil, Miloslav 2 2005 \(\mathcal{PT}\)-symmetric quantum toboggans. Zbl 1222.81170Znojil, Miloslav 2 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 2 2005 Fragile \(\mathcal P\mathcal T\)-symmetry in a solvable model. Zbl 1064.81033Znojil, Miloslav 6 2004 \({\mathcal P}{\mathcal T}\)-symmetric regularizations in supersymmetric quantum mechanics. Zbl 1064.81063Znojil, Miloslav 3 2004 Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation. Zbl 1077.81045Znojil, Miloslav 2 2004 New type of exact solvability and of a hidden nonlinear dynamical symmetry in anharmonic oscillators. Zbl 1092.81063Znojil, M.; Yanovich, D. 1 2004 Linear representation of energy-dependent Hamiltonians. Zbl 1161.81355Znojil, Miloslav 1 2004 Solvable simulation of a double-well problem in \({\mathcal{PT}}\)-symmetric quantum mechanics. Zbl 1052.81104Znojil, Miloslav 11 2003 \(\mathcal{PT}\) symmetric models in more dimensions and solvable square-well versions of their angular Schrödinger equations. Zbl 1029.81020Znojil, Miloslav 2 2003 Comment on “Supersymmetry and singular potentials” by Das and Pernice. Zbl 1034.81022Znojil, Miloslav 1 2003 New exact solutions for polynomial oscillators in large dimensions. Zbl 1030.81003Znojil, Miloslav; Yanovich, Denis; Gerdt, Vladimir P. 1 2003 Re-establishing supersymmetry between harmonic oscillators in \(D{\neq}\)1 dimensions. Zbl 1044.81129Znojil, 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 1044.81578Lévai, G.; Znojil, M. 21 2002 \({\mathcal {PT}}\)-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes. Zbl 1042.81019Mustafa, Omar; Znojil, Miloslav 9 2002 Asymptotic solvability of an imaginary cubic oscillator with spikes. Zbl 1066.81006Znojil, Miloslav; Gemperle, František; Mustafa, Omar 9 2002 Non-Hermitian supersymmetry and singular, \(\mathcal{PT}\)-symmetrized oscillators. Zbl 1026.81018Znojil, Miloslav 7 2002 Generalized \({\mathcal {PT}}\) symmetry. Zbl 1068.81613Znojil, M. 1 2002 Conditions for complex spectra in a class of \(PT\) symmetric potentials. Zbl 1138.81390Lévai, G.; Znojil, M. 23 2001 PT-symmetric square well. Zbl 0969.81521Znojil, M. 22 2001 Generalized continuity equation and modified normalization in \(PT\)-symmetric quantum mechanics. Zbl 1138.81375Bagchi, B.; Quesne, C.; Znojil, M. 17 2001 Spontaneous breakdown of \(PT\) symmetry in the solvable square-well model. Zbl 1138.81404Znojil, M.; Lévai, G. 12 2001 Complex Calogero model with real energies. Zbl 0970.81022Znojil, Miloslav; Tater, Miloš 11 2001 Comprehensive analysis of conditionally exactly solvable models. Zbl 1015.81019Roychoudhury, Rajkumar; Roy, Pinaki; Znojil, Miloslav; Lévai, Géza 9 2001 Anomalous doublets of states in a PT symmetric quantum model. Zbl 0973.81014Znojil, Miloslav; Lévai, Géza; Roy, Pinaki; Roychoudhury, Rajkumar 4 2001 ...and 52 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 Cited in 82 Serials 66 Journal of Mathematical Physics 49 Physics Letters. 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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 all top 5 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) Citations by Year