Fring, Andreas; Tenney, Rebecca Spectrally equivalent time-dependent double wells and unstable anharmonic oscillators. (English) Zbl 1448.81345 Phys. Lett., A 384, No. 21, Article ID 126530, 3 p. (2020). MSC: 81Q65 81Q05 PDF BibTeX XML Cite \textit{A. Fring} and \textit{R. Tenney}, Phys. Lett., A 384, No. 21, Article ID 126530, 3 p. (2020; Zbl 1448.81345) Full Text: DOI arXiv OpenURL
Znojil, Miloslav; Ružička, František; Zloshchastiev, Konstantin G. Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels. (English) Zbl 1423.35358 Symmetry 9, No. 8, Paper No. 165, 18 p. (2017). MSC: 35Q55 PDF BibTeX XML Cite \textit{M. Znojil} et al., Symmetry 9, No. 8, Paper No. 165, 18 p. (2017; Zbl 1423.35358) Full Text: DOI OpenURL
Giachetti, Riccardo; Grecchi, Vincenzo Bender-Wu singularities. (English) Zbl 1353.81052 J. Math. Phys. 57, No. 12, 122109, 13 p. (2016). MSC: 81Q10 34L40 34L05 PDF BibTeX XML Cite \textit{R. Giachetti} and \textit{V. Grecchi}, J. Math. Phys. 57, No. 12, 122109, 13 p. (2016; Zbl 1353.81052) Full Text: DOI arXiv OpenURL
Anjos, R. C.; Freitas, G. B.; Coimbra-Araújo, C. H. Analytical solutions of the Fokker-Planck equation for generalized Morse and Hulthén potentials. (English) Zbl 1334.35350 J. Stat. Phys. 162, No. 2, 387-396 (2016). MSC: 35Q84 82C31 81Q05 PDF BibTeX XML Cite \textit{R. C. Anjos} et al., J. Stat. Phys. 162, No. 2, 387--396 (2016; Zbl 1334.35350) Full Text: DOI OpenURL
Znojil, Miloslav (ed.) Special issue “Pseudo-Hermitian Hamiltonians in quantum physics in 2014”. (English) Zbl 1328.00124 Int. J. Theor. Phys. 54, No. 11, 3867-3870 (2015). MSC: 00B15 81Q12 81-06 PDF BibTeX XML Cite \textit{M. Znojil} (ed.), Int. J. Theor. Phys. 54, No. 11, 3867--3870 (2015; Zbl 1328.00124) Full Text: DOI OpenURL
Giachetti, Riccardo; Grecchi, Vincenzo Localization of the states of a \(PT\)-symmetric double well. (English) Zbl 1329.81168 Int. J. Theor. Phys. 54, No. 11, 3889-3899 (2015). MSC: 81Q05 81R05 PDF BibTeX XML Cite \textit{R. Giachetti} and \textit{V. Grecchi}, Int. J. Theor. Phys. 54, No. 11, 3889--3899 (2015; Zbl 1329.81168) Full Text: DOI arXiv OpenURL
Fernández, Francisco M.; Garcia, Javier; Semorádová, Iveta; Znojil, Miloslav Ad hoc physical Hilbert spaces in quantum mechanics. (English) Zbl 1329.81046 Int. J. Theor. Phys. 54, No. 12, 4187-4203 (2015). MSC: 81P05 PDF BibTeX XML Cite \textit{F. M. Fernández} et al., Int. J. Theor. Phys. 54, No. 12, 4187--4203 (2015; Zbl 1329.81046) Full Text: DOI arXiv Link OpenURL
Krefl, Daniel Non-perturbative quantum geometry. (English) Zbl 1333.81346 J. High Energy Phys. 2014, No. 2, Paper No. 084, 16 p. (2014). MSC: 81T30 PDF BibTeX XML Cite \textit{D. Krefl}, J. High Energy Phys. 2014, No. 2, Paper No. 084, 16 p. (2014; Zbl 1333.81346) Full Text: DOI arXiv OpenURL
Znojil, Miloslav 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. (English) Zbl 1308.81085 Int. J. Theor. Phys. 53, No. 8, 2549-2557 (2014). MSC: 81Q05 PDF BibTeX XML Cite \textit{M. Znojil}, Int. J. Theor. Phys. 53, No. 8, 2549--2557 (2014; Zbl 1308.81085) Full Text: DOI arXiv OpenURL
Babich, V. M.; Budylin, A. M.; Dmitrieva, L. A.; Fedotov, A. A.; Komech, A. I.; Levin, S. B.; Perel, M. V.; Rybakina, E. A.; Sukhanov, V. V. On the mathematical work of Vladimir Savel’evich Buslaev. (English. Russian original) Zbl 1304.35001 St. Petersbg. Math. J. 25, No. 2, 151-174 (2014); translation from Algebra Anal. 25, No. 2, 3-36 (2013). MSC: 35-00 01A70 PDF BibTeX XML Cite \textit{V. M. Babich} et al., St. Petersbg. Math. J. 25, No. 2, 151--174 (2014; Zbl 1304.35001); translation from Algebra Anal. 25, No. 2, 3--36 (2013) Full Text: DOI OpenURL
Znojil, Miloslav The Coulomb potential and the paradoxes of PT symmetrization. (English) Zbl 1360.81163 J. Eng. Math. 82, 173-185 (2013). MSC: 81Q12 PDF BibTeX XML Cite \textit{M. Znojil}, J. Eng. Math. 82, 173--185 (2013; Zbl 1360.81163) Full Text: DOI arXiv OpenURL
Znojil, M.; Geyer, H. B. Smeared quantum lattices exhibiting \(\mathscr{PT}\)-symmetry with positive \(\mathscr{P}\). (English) Zbl 1338.81426 Fortschr. Phys. 61, No. 2-3, 111-123 (2013). MSC: 81V55 82D25 81V70 81R05 81Q12 46C05 81Q80 42C10 PDF BibTeX XML Cite \textit{M. Znojil} and \textit{H. B. Geyer}, Fortschr. Phys. 61, No. 2--3, 111--123 (2013; Zbl 1338.81426) Full Text: DOI arXiv OpenURL
Grecchi, Vincenzo; Martinez, André The spectrum of the cubic oscillator. (English) Zbl 1268.81073 Commun. Math. Phys. 319, No. 2, 479-500 (2013). MSC: 81Q10 81Q05 81Q15 41A21 PDF BibTeX XML Cite \textit{V. Grecchi} and \textit{A. Martinez}, Commun. Math. Phys. 319, No. 2, 479--500 (2013; Zbl 1268.81073) Full Text: DOI arXiv OpenURL
Rivers, R. J. Path integrals for quasi-Hermitian Hamiltonians. (English) Zbl 1220.81158 Int. J. Mod. Phys. D 20, No. 5, 919-932 (2011). MSC: 81S40 81Q30 81Q10 PDF BibTeX XML Cite \textit{R. J. Rivers}, Int. J. Mod. Phys. D 20, No. 5, 919--932 (2011; Zbl 1220.81158) Full Text: DOI OpenURL
Znojil, Miloslav Cryptohermitian Hamiltonians on graphs. II: Hermitizations. (English) Zbl 1251.81041 Int. J. Theor. Phys. 50, No. 5, 1614-1627 (2011). MSC: 81Q12 81Q35 65L06 47B50 PDF BibTeX XML Cite \textit{M. Znojil}, Int. J. Theor. Phys. 50, No. 5, 1614--1627 (2011; Zbl 1251.81041) Full Text: DOI arXiv OpenURL
Znojil, Miloslav; Tater, Miloš \(\mathcal{CPT}\)-symmetric discrete square well. (English) Zbl 1213.81158 Int. J. Theor. Phys. 50, No. 4, 982-990 (2011). MSC: 81S10 PDF BibTeX XML Cite \textit{M. Znojil} and \textit{M. Tater}, Int. J. Theor. Phys. 50, No. 4, 982--990 (2011; Zbl 1213.81158) Full Text: DOI arXiv OpenURL
Rivers, R. J. Path integrals for pseudo-Hermitian Hamiltonians. (English) Zbl 1213.81163 Int. J. Theor. Phys. 50, No. 4, 1081-1096 (2011). MSC: 81S40 PDF BibTeX XML Cite \textit{R. J. Rivers}, Int. J. Theor. Phys. 50, No. 4, 1081--1096 (2011; Zbl 1213.81163) Full Text: DOI OpenURL
Mostafazadeh, Ali Pseudo-Hermitian representation of quantum mechanics. (English) Zbl 1208.81095 Int. J. Geom. Methods Mod. Phys. 7, No. 7, 1191-1306 (2010). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q12 81Q10 PDF BibTeX XML Cite \textit{A. Mostafazadeh}, Int. J. Geom. Methods Mod. Phys. 7, No. 7, 1191--1306 (2010; Zbl 1208.81095) Full Text: DOI arXiv OpenURL
Motavalli, Hossein; Rezaei Akbarieh, Amin Exact solutions of the Klein-Gordon equation for the Scarf-type potential via Nikiforov-Uvarov method. (English) Zbl 1190.81042 Int. J. Theor. Phys. 49, No. 5, 979-987 (2010). MSC: 81Q05 81U15 81Q80 PDF BibTeX XML Cite \textit{H. Motavalli} and \textit{A. Rezaei Akbarieh}, Int. J. Theor. Phys. 49, No. 5, 979--987 (2010; Zbl 1190.81042) Full Text: DOI OpenURL
Andrianov, Alexander A.; Cannata, Francesco; Kamenshchik, Alexander Yu; Regoli, Daniele Phantom cosmology based on PT symmetry. (English) Zbl 1187.83072 Int. J. Mod. Phys. D 19, No. 1, 97-111 (2010). MSC: 83F05 83C15 PDF BibTeX XML Cite \textit{A. A. Andrianov} et al., Int. J. Mod. Phys. D 19, No. 1, 97--111 (2010; Zbl 1187.83072) Full Text: DOI arXiv OpenURL
Mustafa, Omar; Mazharimousavi, S. Habib Spherical-separability of non-Hermitian Hamiltonians and pseudo-\(\mathcal{PT}\)-symmetry. (English) Zbl 1161.81364 Int. J. Theor. Phys. 48, No. 1, 183-193 (2009). MSC: 81Q10 PDF BibTeX XML Cite \textit{O. Mustafa} and \textit{S. H. Mazharimousavi}, Int. J. Theor. Phys. 48, No. 1, 183--193 (2009; Zbl 1161.81364) Full Text: DOI arXiv OpenURL
Mustafa, Omar; Mazharimousavi, S. Habib \(\eta \)-weak-pseudo-hermiticity generators and radially symmetric Hamiltonians. (English) Zbl 1160.81383 Int. J. Theor. Phys. 47, No. 7, 2029-2037 (2008). MSC: 81Q10 34L40 PDF BibTeX XML Cite \textit{O. Mustafa} and \textit{S. H. Mazharimousavi}, Int. J. Theor. Phys. 47, No. 7, 2029--2037 (2008; Zbl 1160.81383) Full Text: DOI arXiv OpenURL
Yeşiltaş, Özlem; Sever, Ramazan Exponential type complex and non-Hermitian potentials within quantum Hamilton-Jacobi formalism. (English) Zbl 1151.81334 J. Math. Chem. 43, No. 3, 921-931 (2008). MSC: 81Q05 70H20 PDF BibTeX XML Cite \textit{Ö. Yeşiltaş} and \textit{R. Sever}, J. Math. Chem. 43, No. 3, 921--931 (2008; Zbl 1151.81334) Full Text: DOI arXiv OpenURL
Mustafa, Omar; Mazharimousavi, S. Habib \((1+1)\)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: Effectively \(\mathcal{PT}\)-symmetric. (English) Zbl 1140.81363 Int. J. Theor. Phys. 47, No. 4, 1112-1120 (2008). MSC: 81Q05 81Q60 78A35 PDF BibTeX XML Cite \textit{O. Mustafa} and \textit{S. H. Mazharimousavi}, Int. J. Theor. Phys. 47, No. 4, 1112--1120 (2008; Zbl 1140.81363) Full Text: DOI arXiv OpenURL
Mustafa, Omar; Mazharimousavi, S. Habib First-order intertwining operators with position dependent mass and \(\eta\)-weak-pseudo-hermiticity generators. (English) Zbl 1139.81347 Int. J. Theor. Phys. 47, No. 2, 446-454 (2008). MSC: 81Q20 PDF BibTeX XML Cite \textit{O. Mustafa} and \textit{S. H. Mazharimousavi}, Int. J. Theor. Phys. 47, No. 2, 446--454 (2008; Zbl 1139.81347) Full Text: DOI arXiv OpenURL
Jakubský, Vít Thermodynamics of pseudo-Hermitian systems in equilibrium. (English) Zbl 1113.82021 Mod. Phys. Lett. A 22, No. 15, 1075-1084 (2007). MSC: 82B30 PDF BibTeX XML Cite \textit{V. Jakubský}, Mod. Phys. Lett. A 22, No. 15, 1075--1084 (2007; Zbl 1113.82021) Full Text: DOI arXiv OpenURL
Ioffe, M. V.; Cannata, F.; Nishnianidze, D. N. Exactly solvable two-dimensional complex model with a real spectrum. (English) Zbl 1177.81051 Theor. Math. Phys. 148, No. 1, 960-967 (2006); translation from Teor. Mat. Fiz. 148, No. 1, 102-111 (2006). MSC: 81Q60 PDF BibTeX XML Cite \textit{M. V. Ioffe} et al., Theor. Math. Phys. 148, No. 1, 960--967 (2006; Zbl 1177.81051); translation from Teor. Mat. Fiz. 148, No. 1, 102--111 (2006) Full Text: DOI arXiv OpenURL
Bender, Carl M. Parity anomaly in a \(\mathcal{PT}\)-symmetric quartic Hamiltonian. (English) Zbl 1110.81064 Czech. J. Phys. 56, No. 9, 1017-1062 (2006). MSC: 81Q05 81Q10 PDF BibTeX XML Cite \textit{C. M. Bender}, Czech. J. Phys. 56, No. 9, 1017--1062 (2006; Zbl 1110.81064) Full Text: DOI OpenURL
Jakubský, Vít; Smejkal, Jaroslav A positive-definite scalar product for free Proca particle. (English) Zbl 1117.81045 Czech. J. Phys. 56, No. 9, 985-997 (2006). MSC: 81Q05 PDF BibTeX XML Cite \textit{V. Jakubský} and \textit{J. Smejkal}, Czech. J. Phys. 56, No. 9, 985--997 (2006; Zbl 1117.81045) Full Text: DOI arXiv OpenURL
Mustafa, Omar; Mazharimousavi, S. Habib Non-Hermitian \(d\)-dimensional Hamiltonians with position-dependent mass and their \(\eta\)-pseudo-Hermiticity generators. (English) Zbl 1110.81087 Czech. J. Phys. 56, No. 9, 967-975 (2006). MSC: 81Q50 81Q10 17B37 PDF BibTeX XML Cite \textit{O. Mustafa} and \textit{S. H. Mazharimousavi}, Czech. J. Phys. 56, No. 9, 967--975 (2006; Zbl 1110.81087) Full Text: DOI arXiv OpenURL
Jones, H. F. On an equivalent Hermitian Hamiltonian for the wrong-sign quartic potential. (English) Zbl 1118.81025 Czech. J. Phys. 56, No. 9, 909-917 (2006). MSC: 81Q05 PDF BibTeX XML Cite \textit{H. F. Jones}, Czech. J. Phys. 56, No. 9, 909--917 (2006; Zbl 1118.81025) Full Text: DOI OpenURL
Bagchi, B.; Mallik, S.; Bíla, H.; Jakubský, V.; Znojil, M.; Quesne, C. \({\mathcal{PT}}\)-symmetric supersymmetry in a solvable short-range model. (English) Zbl 1095.81028 Int. J. Mod. Phys. A 21, No. 10, 2173-2190 (2006). MSC: 81Q60 81U15 PDF BibTeX XML Cite \textit{B. Bagchi} et al., Int. J. Mod. Phys. A 21, No. 10, 2173--2190 (2006; Zbl 1095.81028) Full Text: DOI arXiv OpenURL
Faridfathi, Gholamreza; Sever, Ramazan; Aktaş, Metin Supersymmetric solutions of \({\mathcal PT}\)-/non-\({\mathcal PT}\)-symmetric and non-Hermitian central potentials via Hamiltonian hierarchy method. (English) Zbl 1100.81028 J. Math. Chem. 38, No. 4, 533-540 (2005). MSC: 81Q60 82B30 81Q05 81V55 PDF BibTeX XML Cite \textit{G. Faridfathi} et al., J. Math. Chem. 38, No. 4, 533--540 (2005; Zbl 1100.81028) Full Text: DOI OpenURL
Bagchi, Bijan; Banerjee, A.; Caliceti, Emanuela; Cannata, Francesco; Geyer, Hendrik B.; Quesne, Christiane; Znojil, Miloslav \({\mathcal{CPT}}\)-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators \({\mathcal C}\). (English) Zbl 1091.81023 Int. J. Mod. Phys. A 20, No. 30, 7107-7128 (2005). MSC: 81Q10 47A10 81Q60 PDF BibTeX XML Cite \textit{B. Bagchi} et al., Int. J. Mod. Phys. A 20, No. 30, 7107--7128 (2005; Zbl 1091.81023) Full Text: DOI arXiv OpenURL
Banerjee, Abhijit A perturbative treatment of a generalized \(\mathcal{PT}\)-symmetric quartic anharmonic oscillator. (English) Zbl 1086.81507 Mod. Phys. Lett. A 20, No. 39, 3013-3023 (2005). MSC: 81Q05 81Q15 PDF BibTeX XML Cite \textit{A. Banerjee}, Mod. Phys. Lett. A 20, No. 39, 3013--3023 (2005; Zbl 1086.81507) Full Text: DOI arXiv OpenURL
Znojil, Miloslav Fragile \(\mathcal P\mathcal T\)-symmetry in a solvable model. (English) Zbl 1064.81033 J. Math. Phys. 45, No. 11, 4418-4430 (2004). MSC: 81Q05 81U15 PDF BibTeX XML Cite \textit{M. Znojil}, J. Math. Phys. 45, No. 11, 4418--4430 (2004; Zbl 1064.81033) Full Text: DOI arXiv OpenURL
Alvarez, Gabriel Langer-Cherry derivation of the multi-instanton expansion for the symmetric double well. (English) Zbl 1071.81042 J. Math. Phys. 45, No. 8, 3095-3108 (2004). MSC: 81Q20 PDF BibTeX XML Cite \textit{G. Alvarez}, J. Math. Phys. 45, No. 8, 3095--3108 (2004; Zbl 1071.81042) Full Text: DOI OpenURL
Zinn-Justin, Jean From multi-instantons to exact results. (English) Zbl 1073.81043 Ann. Inst. Fourier 53, No. 4, 1259-1285 (2003). MSC: 81Q20 34E20 34M37 41A60 81S40 PDF BibTeX XML Cite \textit{J. Zinn-Justin}, Ann. Inst. Fourier 53, No. 4, 1259--1285 (2003; Zbl 1073.81043) Full Text: DOI Numdam Numdam EuDML OpenURL
Znojil, M.; Lévai, G. Spontaneous breakdown of \(PT\) symmetry in the solvable square-well model. (English) Zbl 1138.81404 Mod. Phys. Lett. A 16, No. 35, 2273-2280 (2001). MSC: 81Q05 PDF BibTeX XML Cite \textit{M. Znojil} and \textit{G. Lévai}, Mod. Phys. Lett. A 16, No. 35, 2273--2280 (2001; Zbl 1138.81404) Full Text: DOI arXiv OpenURL
Lévai, G.; Znojil, M. Conditions for complex spectra in a class of \(PT\) symmetric potentials. (English) Zbl 1138.81390 Mod. Phys. Lett. A 16, No. 30, 1973-1981 (2001). MSC: 81Q05 81V15 PDF BibTeX XML Cite \textit{G. Lévai} and \textit{M. Znojil}, Mod. Phys. Lett. A 16, No. 30, 1973--1981 (2001; Zbl 1138.81390) Full Text: DOI arXiv OpenURL
Caliceti, E.; Grecchi, V.; Maioli, M. Double wells: Nevanlinna analyticity, distributional Borel sum and asymptotics. (English) Zbl 0840.35087 Commun. Math. Phys. 176, No. 1, 1-22 (1996). MSC: 35Q40 81Q15 35P05 PDF BibTeX XML Cite \textit{E. Caliceti} et al., Commun. Math. Phys. 176, No. 1, 1--22 (1996; Zbl 0840.35087) Full Text: DOI OpenURL
Caliceti, Emanuela; Grecchi, Vincenzo; Maioli, Marco Stark resonances: Asymptotics and distributional Borel sum. (English) Zbl 0785.35082 Commun. Math. Phys. 157, No. 2, 347-357 (1993). MSC: 35Q40 81Q15 35P05 PDF BibTeX XML Cite \textit{E. Caliceti} et al., Commun. Math. Phys. 157, No. 2, 347--357 (1993; Zbl 0785.35082) Full Text: DOI OpenURL