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: 214 Publications since 1976, including 1 Book 6 Contributions as Editor · 1 Further Contribution Reviewing Activity: 105 Reviews Co-Authors: 48 Co-Authors with 68 Joint Publications 1,068 Co-Co-Authors all top 5 Co-Authors 152 single-authored 10 Lévai, Géza 7 Bagchi, Bijan Kumar 7 Borisov, Denis Ivanovich 7 Jakubský, Vít 6 Bíla, Hynek 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 Feinberg, Joshua 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 36 Physics Letters. A 21 Journal of Physics A: Mathematical and Theoretical 17 Journal of Mathematical Physics 12 Czechoslovak Journal of Physics 10 Annals of Physics 9 International Journal of Theoretical Physics 8 Modern Physics Letters A 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 1 Bollettino di Matematica Pura e Applicata all top 5 Fields 196 Quantum theory (81-XX) 34 Ordinary differential equations (34-XX) 24 Operator theory (47-XX) 22 Partial differential equations (35-XX) 14 Functional analysis (46-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Numerical analysis (65-XX) 7 General and overarching topics; collections (00-XX) 7 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) 4 Global analysis, analysis on manifolds (58-XX) 4 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 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 160 Publications have been cited 994 times in 433 Documents Cited by ▼ Year ▼ Non-selfadjoint operators in quantum physics. Mathematical aspects. Zbl 1329.81021 51 2015 Closed formula for the metric in the Hilbert space of a \(\mathcal{PT}\)-symmetric model. Zbl 1117.81058Krejcirík, D.; Bíla, H.; Znojil, M. 45 2006 \(\mathcal P\mathcal T\)-symmetric harmonic oscillators. Zbl 0948.81535Znojil, Miloslav 42 1999 Systematic search for \(\mathcal{PT}\)-symmetric potentials with real energy spectra. Zbl 0963.81012Lévai, Géza; Znojil, Miloslav 31 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. 28 1998 PT-symmetric square well. Zbl 0969.81521Znojil, M. 27 2001 Conditions for complex spectra in a class of \(PT\) symmetric potentials. Zbl 1138.81390Lévai, G.; Znojil, M. 23 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 Supersymmetry without Hermiticity within \(\mathcal{PT}\) symmetric quantum mechanics. Zbl 1031.81523Znojil, Miloslav; Cannata, Francesco; Bagchi, Bijan; Roychoudhury, Rajkumar 20 2000 Three-Hilbert-space formulation of quantum mechanics. Zbl 1160.81017Znojil, Miloslav 18 2009 Exact solution for Morse oscillator in \(\mathcal P\mathcal T\)-symmetric quantum mechanics. Zbl 0949.81020Znojil, Miloslav 17 1999 Generalized continuity equation and modified normalization in \(PT\)-symmetric quantum mechanics. Zbl 1138.81375Bagchi, B.; Quesne, C.; Znojil, M. 17 2001 Singular anharmonicities and the analytic continued fractions. II: The potentials \(V(r)=ar^ 2+br^{-4}+cr^{-6}\). Zbl 0711.35104Znojil, M. 16 1990 \({\mathcal P}{\mathcal T}\)-symmetric regularizations in supersymmetric quantum mechanics. Zbl 1064.81063Znojil, Miloslav 13 2004 The Coulomb-harmonic oscillator correspondence in \(\mathcal {PT}\) symmetric quantum mechanics. Zbl 1115.81339Znojil, Miloslav; Lévai, Géza 13 2000 Harmonic oscillator well with a screened Coulombic core is quasi-exactly solvable. Zbl 1148.81305Znojil, Miloslav 12 1999 Solvable simulation of a double-well problem in \({\mathcal{PT}}\)-symmetric quantum mechanics. Zbl 1052.81104Znojil, Miloslav 12 2003 Spontaneous breakdown of \(PT\) symmetry in the solvable square-well model. Zbl 1138.81404Znojil, M.; Lévai, G. 12 2001 Comprehensive analysis of conditionally exactly solvable models. Zbl 1015.81019Roychoudhury, Rajkumar; Roy, Pinaki; Znojil, Miloslav; Lévai, Géza 12 2001 Shape invariant potentials with \(\mathcal P\mathcal T\) symmetry. Zbl 0971.81018Znojil, Miloslav 11 2000 Non-Hermitian interaction representation and its use in relativistic quantum mechanics. Zbl 1372.81063Znojil, Miloslav 11 2017 Potential r**2+lambdar**2/(1+gr**2) and the analytic continued fractions. Zbl 0513.35028Znojil, M. 11 1983 Elementary bound states for the power-law potentials. Zbl 0517.70022Znojil, M. 11 1982 Complex Calogero model with real energies. Zbl 0970.81022Znojil, Miloslav; Tater, Miloš 11 2001 \({\mathcal {PT}}\)-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes. Zbl 1042.81019Mustafa, Omar; Znojil, Miloslav 10 2002 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 10 2007 Extended continued fractions and energies of the anharmonic oscillators. Zbl 0532.34018Znojil, M. 10 1983 Asymptotic solvability of an imaginary cubic oscillator with spikes. Zbl 1066.81006Znojil, Miloslav; Gemperle, František; Mustafa, Omar 9 2002 The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics. Zbl 1407.81097Krejčiřík, David; Lotoreichik, Vladimir; Znojil, Miloslav 9 2018 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 9 2005 Maximal couplings in \({\mathcal {PT}} \)-symmetric chain models with the real spectrum of energies. Zbl 1115.81030Znojil, Miloslav 9 2007 Fragile \(\mathcal P\mathcal T\)-symmetry in a solvable model. Zbl 1064.81033Znojil, Miloslav 9 2004 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 Construction of \(\mathcal {PT}\)-asymmetric non-hermitian Hamiltonians with CPT symmetry. Zbl 1123.81342Caliceti, Emanuela; Cannata, Francesco; Znojil, Miloslav; Ventura, Alberto 8 2005 Solvability and \(\mathcal{PT}\)-symmetry in a double-well model with point interactions. Zbl 1072.81058Znojil, Miloslav; Jakubský, Vít 8 2005 Complete set of inner products for a discrete \(\mathcal{PT}\)-symmetric square-well Hamiltonian. Zbl 1319.81040Znojil, Miloslav 8 2009 Non-self-adjoint operators in quantum physics: ideas, people, and trends. Zbl 1355.81082Znojil, Miloslav 7 2015 Quantum inner-product metrics via the recurrent solution of the Dieudonné equation. Zbl 1237.81077Znojil, Miloslav 7 2012 \(\mathcal {PT}\)-symmetric deformations of Calogero models. Zbl 1151.81023Fring, Andreas; Znojil, Miloslav 7 2008 Quantum catastrophes: A case study. Zbl 1263.81184Znojil, Miloslav 7 2012 On exact solutions of the Schrödinger equation. Zbl 0528.35027Znojil, M. 7 1983 Three solvable matrix models of a quantum catastrophe. Zbl 1297.81071Lévai, Géza; Ružička, František; Znojil, Miloslav 7 2014 Non-Hermitian supersymmetry and singular, \(\mathcal{PT}\)-symmetrized oscillators. Zbl 1026.81018Znojil, Miloslav 7 2002 Perturbation method with triangular propagators and anharmonicities of intermediate strength. Zbl 1027.81009Znojil, Miloslav 7 2000 \(\mathcal P\mathcal T\)-symmetrically regularized Eckart, Pöschl-Teller and Hulthén potentials. Zbl 1004.81034Znojil, Miloslav 7 2000 A return to observability near exceptional points in a schematic \(\mathcal P\mathcal T\)-symmetric model. Zbl 1248.81050Znojil, Miloslav 6 2007 On the power-series construction of bound states. I: The energies as zeros of the infinite Hill determinants. Zbl 0666.34066Znojil, M. 6 1988 On the elementary Schrödinger bound states and their multiplets. Zbl 0825.35100Znojil, M.; Leach, P. G. L. 6 1992 Solvable \(\mathcal{PT}\)-symmetric model with a tunable interspersion of nonmerging levels. Zbl 1110.81159Znojil, Miloslav 6 2005 An exactly solvable quantum-lattice model with a tunable degree of nonlocality. Zbl 1208.81096Znojil, Miloslav 6 2011 Nonlinear pseudo-bosons versus hidden Hermiticity. Zbl 1228.81166Bagarello, Fabio; Znojil, Miloslav 6 2011 Non-Hermitian matrix description of the \(\mathcal P\mathcal T\)-symmetric anharmonic oscillators. Zbl 1047.81517Znojil, Miloslav 5 1999 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 5 2016 Smeared quantum lattices exhibiting \(\mathscr{PT}\)-symmetry with positive \(\mathscr{P}\). Zbl 1338.81426Znojil, M.; Geyer, H. B. 5 2013 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 Discrete \({\mathcal {PT}} \)-symmetric models of scattering. Zbl 1149.81366Znojil, Miloslav 5 2008 Exact solution of the Schrödinger and Klein-Gordon equations for generalised Hulthen potentials. Zbl 0462.35076Znojil, M. 5 1981 Singular anharmonicities and the analytic continued fractions. Zbl 0692.35108Znojil, M. 5 1989 Non-Hermitian Heisenberg representation. Zbl 1364.81125Znojil, Miloslav 5 2015 On eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin layer. Zbl 1371.35178Borisov, Denis I.; Znojil, Miloslav 5 2017 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 Matching method and exact solvability of discrete \(\mathcal {PT}\)-symmetric square wells. Zbl 1117.81053Znojil, Miloslav 5 2006 Non-self-adjoint Schrödinger operators with nonlocal one-point interactions. Zbl 1489.47065Kuzhel, Sergii; Znojil, Miloslav 5 2017 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 Anomalous real spectra of non-Hermitian quantum graphs in a strong-coupling regime. Zbl 1195.81058Znojil, Miloslav 5 2010 Two patterns of \(\mathcal{PT}\)-symmetry breakdown in a non-numerical six-state simulation. Zbl 1390.81172Znojil, Miloslav; Borisov, Denis I. 5 2018 Bound states in the Kratzer plus polynomial potentials and the new form of perturbation theory. Zbl 1048.81505Znojil, Miloslav 4 1999 \(N\)-site-lattice analogues of \(V(x) = \text ix^3\). Zbl 1243.81076Znojil, Miloslav 4 2012 Horizons of stability. Zbl 1140.81372Znojil, Miloslav 4 2008 Scattering in the \({\mathcal PT} \)-symmetric Coulomb potential. Zbl 1168.81413Lévai, Géza; Siegl, Petr; Znojil, Miloslav 4 2009 Generalized Bose-Hubbard Hamiltonians exhibiting a complete non-Hermitian degeneracy. Zbl 1414.81113Znojil, Miloslav 4 2019 Multiply degenerate exceptional points and quantum phase transitions. Zbl 1329.81037Borisov, Denis I.; Ružička, František; Znojil, Miloslav 4 2015 \({\mathcal{PT}}\)-symmetric supersymmetry in a solvable short-range model. Zbl 1095.81028Bagchi, B.; Mallik, S.; Bíla, H.; Jakubský, V.; Znojil, M.; Quesne, C. 4 2006 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 Anomalous doublets of states in a PT symmetric quantum model. Zbl 0973.81014Znojil, Miloslav; Lévai, Géza; Roy, Pinaki; Roychoudhury, Rajkumar 4 2001 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 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 One-dimensional Schrödinger equation and its ”exact” representation on a discrete lattice. Zbl 1037.81531Znojil, Miloslav 3 1996 Symmetrized exponential oscillator. Zbl 1351.81046Znojil, Miloslav 3 2016 Parity-time symmetry and the toy models of gain-loss dynamics near the real Kato’s exceptional points. Zbl 1373.81216Znojil, Miloslav 3 2016 Erratum to: “Construction of a unique metric in quasi-Hermitian quantum mechanics: nonexistence of the charge operator in a \(2\times2\) matrix model” [Phys. Lett. B 640 (2006) 52]. Zbl 1248.81052Znojil, Miloslav; Geyer, Hendrik B. 3 2007 Conditional observability. Zbl 1248.81010Znojil, Miloslav 3 2007 Topology-controlled spectra of imaginary cubic oscillators in the large-\(\ell \) approach. Zbl 1235.81076Znojil, Miloslav 3 2010 Quantization of big bang in crypto-Hermitian Heisenberg picture. Zbl 1402.83125Znojil, Miloslav 3 2016 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 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 The anharmonic oscillator problem: a new algebraic solution. Zbl 0574.34018Znojil, M.; Sandler, K.; Tater, M. 3 1985 The generalized continued fractions and potentials of the Lennard-Jones type. Zbl 0708.47035Znojil, Miloslav 3 1990 Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions. Zbl 1360.81186Znojil, Miloslav 3 2015 \({\mathcal{CPT}}\)-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators \({\mathcal C}\). Zbl 1091.81023Bagchi, Bijan; Banerjee, A.; Caliceti, Emanuela; Cannata, Francesco; Geyer, Hendrik B.; Quesne, Christiane; Znojil, Miloslav 3 2005 Solvable non-Hermitian discrete square well with closed-form physical inner product. Zbl 1315.81044Znojil, Miloslav 3 2014 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 Asymptotically vanishing -symmetric potentials and negative-mass Schrödinger equations. Zbl 1229.81084Znojil, Miloslav; Siegl, Petr; Lévai, Géza 3 2009 Cryptohermitian Hamiltonians on graphs. Zbl 1228.81167Znojil, Miloslav 3 2011 Quantum mechanics using two auxiliary inner products. Zbl 07427922Znojil, Miloslav 2 2022 Bifurcations of thresholds in essential spectra of elliptic operators under localized non-Hermitian perturbations. Zbl 1468.35050Borisov, D. I.; Zezyulin, D. A.; Znojil, M. 2 2021 Exceptional points and domains of unitarity for a class of strongly non-Hermitian real-matrix Hamiltonians. Zbl 1465.81034Znojil, Miloslav 1 2021 Arnold’s potentials and quantum catastrophes. Zbl 1432.81039Znojil, Miloslav 2 2020 Polynomial potentials and coupled quantum dots in two and three dimensions. Zbl 1434.81038Znojil, Miloslav 1 2020 Anomalous mechanisms of the loss of observability in non-Hermitian quantum models. Zbl 1473.81151Znojil, Miloslav; Borisov, Denis I. 1 2020 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 4 2019 Multi-well log-anharmonic oscillators. Zbl 1411.81104Znojil, Miloslav; Růžička, František 1 2019 The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics. Zbl 1407.81097Krejčiřík, David; Lotoreichik, Vladimir; Znojil, Miloslav 9 2018 Two patterns of \(\mathcal{PT}\)-symmetry breakdown in a non-numerical six-state simulation. Zbl 1390.81172Znojil, Miloslav; Borisov, Denis I. 5 2018 Hermitian-non-Hermitian interfaces in quantum theory. Zbl 1404.81106Znojil, Miloslav 2 2018 Non-Hermitian interaction representation and its use in relativistic quantum mechanics. Zbl 1372.81063Znojil, Miloslav 11 2017 On eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin layer. Zbl 1371.35178Borisov, Denis I.; Znojil, Miloslav 5 2017 Non-self-adjoint Schrödinger operators with nonlocal one-point interactions. Zbl 1489.47065Kuzhel, Sergii; Znojil, Miloslav 5 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 5 2016 Symmetrized exponential oscillator. Zbl 1351.81046Znojil, Miloslav 3 2016 Parity-time symmetry and the toy models of gain-loss dynamics near the real Kato’s exceptional points. Zbl 1373.81216Znojil, Miloslav 3 2016 Quantization of big bang in crypto-Hermitian Heisenberg picture. Zbl 1402.83125Znojil, Miloslav 3 2016 Morse potential, symmetric Morse potential and bracketed bound-state energies. Zbl 1339.81053Znojil, 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 Non-selfadjoint operators in quantum physics. Mathematical aspects. Zbl 1329.81021 51 2015 Non-self-adjoint operators in quantum physics: ideas, people, and trends. Zbl 1355.81082Znojil, Miloslav 7 2015 Non-Hermitian Heisenberg representation. Zbl 1364.81125Znojil, Miloslav 5 2015 Multiply degenerate exceptional points and quantum phase transitions. Zbl 1329.81037Borisov, Denis I.; Ružička, František; Znojil, Miloslav 4 2015 Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions. Zbl 1360.81186Znojil, Miloslav 3 2015 \(\mathcal{PT}\)-symmetric model with an interplay between kinematical and dynamical non-localities. Zbl 1315.81042Znojil, 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 Ad hoc physical Hilbert spaces in quantum mechanics. Zbl 1329.81046Fernández, Francisco M.; Garcia, Javier; Semorádová, Iveta; 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 Smeared quantum lattices exhibiting \(\mathscr{PT}\)-symmetry with positive \(\mathscr{P}\). Zbl 1338.81426Znojil, M.; Geyer, H. B. 5 2013 Solvable model of quantum phase transitions and the symbolic-manipulation-based study of its multiply degenerate exceptional points and of their unfolding. Zbl 1286.81103Znojil, Miloslav 4 2013 Nonlinear pseudo-bosons versus hidden hermiticity. II: The case of unbounded operators. Zbl 1244.81024Bagarello, Fabio; Znojil, Miloslav 8 2012 Quantum inner-product metrics via the recurrent solution of the Dieudonné equation. Zbl 1237.81077Znojil, Miloslav 7 2012 Quantum catastrophes: A case study. Zbl 1263.81184Znojil, Miloslav 7 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 An exactly solvable quantum-lattice model with a tunable degree of nonlocality. Zbl 1208.81096Znojil, Miloslav 6 2011 Nonlinear pseudo-bosons versus hidden Hermiticity. Zbl 1228.81166Bagarello, Fabio; Znojil, Miloslav 6 2011 Cryptohermitian Hamiltonians on graphs. Zbl 1228.81167Znojil, Miloslav 3 2011 The crypto-Hermitian smeared-coordinate representation of wave functions. Zbl 1252.81063Znojil, Miloslav 1 2011 Decays of degeneracies in \(\mathcal PT\)-symmetric ring-shaped lattices. Zbl 1252.82108Znojil, Miloslav 1 2011 Discrete quantum square well of the first kind. Zbl 1242.81080Znojil, Miloslav 1 2011 Planarizable supersymmetric quantum toboggans. Zbl 1217.81102Znojil, Miloslav 1 2011 Symbolic-manipulation constructions of Hilbert-space metrics in quantum mechanics. Zbl 1308.81009Znojil, 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 18 2009 Complete set of inner products for a discrete \(\mathcal{PT}\)-symmetric square-well Hamiltonian. Zbl 1319.81040Znojil, Miloslav 8 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 3 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 Discrete \({\mathcal {PT}} \)-symmetric models of scattering. Zbl 1149.81366Znojil, Miloslav 5 2008 Horizons of stability. Zbl 1140.81372Znojil, Miloslav 4 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 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 10 2007 Maximal couplings in \({\mathcal {PT}} \)-symmetric chain models with the real spectrum of energies. Zbl 1115.81030Znojil, Miloslav 9 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. 3 2007 Conditional observability. Zbl 1248.81010Znojil, Miloslav 3 2007 Determination of the domain of the admissible matrix elements in the four-dimensional-symmetric anharmonic model. Zbl 1209.81182Znojil, Miloslav 2 2007 Closed formula for the metric in the Hilbert space of a \(\mathcal{PT}\)-symmetric model. Zbl 1117.81058Krejcirík, D.; Bíla, H.; Znojil, M. 45 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 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 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 \({\mathcal{PT}}\)-symmetric supersymmetry in a solvable short-range model. Zbl 1095.81028Bagchi, B.; Mallik, S.; Bíla, H.; Jakubský, V.; Znojil, M.; Quesne, C. 4 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 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 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 9 2005 Construction of \(\mathcal {PT}\)-asymmetric non-hermitian Hamiltonians with CPT symmetry. Zbl 1123.81342Caliceti, Emanuela; Cannata, Francesco; Znojil, Miloslav; Ventura, Alberto 8 2005 Solvability and \(\mathcal{PT}\)-symmetry in a double-well model with point interactions. Zbl 1072.81058Znojil, Miloslav; Jakubský, Vít 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 \({\mathcal{CPT}}\)-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators \({\mathcal C}\). Zbl 1091.81023Bagchi, Bijan; Banerjee, A.; Caliceti, Emanuela; Cannata, Francesco; Geyer, Hendrik B.; Quesne, Christiane; Znojil, Miloslav 3 2005 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 \({\mathcal P}{\mathcal T}\)-symmetric regularizations in supersymmetric quantum mechanics. Zbl 1064.81063Znojil, Miloslav 13 2004 Fragile \(\mathcal P\mathcal T\)-symmetry in a solvable model. Zbl 1064.81033Znojil, Miloslav 9 2004 Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation. Zbl 1077.81045Znojil, Miloslav 2 2004 Linear representation of energy-dependent Hamiltonians. Zbl 1161.81355Znojil, Miloslav 1 2004 New type of exact solvability and of a hidden nonlinear dynamical symmetry in anharmonic oscillators. Zbl 1092.81063Znojil, M.; Yanovich, D. 1 2004 Solvable simulation of a double-well problem in \({\mathcal{PT}}\)-symmetric quantum mechanics. Zbl 1052.81104Znojil, Miloslav 12 2003 \(\mathcal{PT}\) symmetric models in more dimensions and solvable square-well versions of their angular Schrödinger equations. Zbl 1029.81020Znojil, Miloslav 2 2003 Re-establishing supersymmetry between harmonic oscillators in \(D{\neq}\)1 dimensions. Zbl 1044.81129Znojil, Miloslav 1 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 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 10 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 ...and 60 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 466 Authors 75 Znojil, Miloslav 19 Bagarello, Fabio 16 Bagchi, Bijan Kumar 14 Quesne, Christiane 14 Sever, Ramazan 12 Lévai, Géza 11 Fernández, Francisco Marcelo 10 Borisov, Denis Ivanovich 9 Krejčiřík, David 8 Mustafa, Omar 8 Siegl, Petr 7 Ikhdair, Sameer M. 7 Roy, Pinaki 7 Ružička, František 6 Mazharimousavi, S. Habib 6 Zarrinkamar, Saber 5 Caliceti, Emanuela 5 Fring, Andreas 5 Hassanabadi, Hassan 5 Jakubský, Vít 5 Maamache, Mustapha 5 Mandal, Bhabani Prasad 5 Mostafazadeh, Ali 5 Sinha, Anjana 5 Yan, Zhenya 4 Bender, Carl M. 4 Dehesa, Jesús S. 4 Ergun, Ebru 4 Exner, Pavel 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 Samsonov, Boris F. 4 Tater, Miloš 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 Santander, Mariano 3 Trapani, Camillo 2 Ahmadov, A. I. 2 Antoine, Jean-Pierre 2 Arda, Altuğ 2 Aslanova, S. M. 2 Badalov, Sabuhi V. 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 Dong, Shihai 2 Fanelli, Luca 2 Feinberg, Joshua 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 Orujova, M. Sh. ...and 366 more Authors all top 5 Cited in 90 Serials 70 Journal of Mathematical Physics 55 Physics Letters. A 48 International Journal of Theoretical Physics 28 Annals of Physics 27 Modern Physics Letters A 18 Czechoslovak Journal of Physics 14 Journal of Mathematical Chemistry 12 Journal of Physics A: Mathematical and Theoretical 10 Advances in High Energy Physics 9 International Journal of Modern Physics A 6 Journal of High Energy Physics 5 Theoretical and Mathematical Physics 5 Journal of Computational and Applied Mathematics 4 Reports on Mathematical Physics 4 Chaos 3 International Journal of Modern Physics B 3 Journal of Mathematical Analysis and Applications 3 Letters in Mathematical Physics 3 Nuclear Physics. B 3 Integral Equations and Operator Theory 3 Mathematical Physics, Analysis and Geometry 3 International Journal of Geometric Methods in Modern Physics 3 Analysis and Mathematical Physics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 European Journal of Physics 2 Physics Letters. 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Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Communications in Partial Differential Equations 1 Linear Algebra and its Applications 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 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 Open Systems & Information Dynamics 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 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. 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Studies in History and Philosophy of Modern Physics 1 Physical Review A, Third Series 1 Journal of Spectral Theory 1 Annalen der Physik 1 Quanta 1 Advances in Operator Theory all top 5 Cited in 41 Fields 357 Quantum theory (81-XX) 75 Partial differential equations (35-XX) 56 Operator theory (47-XX) 48 Ordinary differential equations (34-XX) 28 Statistical mechanics, structure of matter (82-XX) 20 Numerical analysis (65-XX) 18 Special functions (33-XX) 17 Dynamical systems and ergodic theory (37-XX) 17 Functional analysis (46-XX) 17 Mechanics of particles and systems (70-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Difference and functional equations (39-XX) 6 Optics, electromagnetic theory (78-XX) 5 Relativity and gravitational theory (83-XX) 4 Nonassociative rings and algebras (17-XX) 4 Real functions (26-XX) 4 Global analysis, analysis on manifolds (58-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 Approximations and expansions (41-XX) 3 Fluid mechanics (76-XX) 3 Information and communication theory, circuits (94-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-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 Category theory; homological algebra (18-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year