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- 1.0552561 - ÚJF 2023 RIV CH eng J - Journal Article
Shapiro, B. - Tater, Miloš
On spectral asymptotic of quasi-exactly solvable quartic potential.
Analysis and Mathematical Physics. Roč. 12, č. 1 (2022), č. článku 2. ISSN 1664-2368. E-ISSN 1664-235X
Institutional support: RVO:61389005
Keywords : Heun equation * Spectral polynomials
OECD category: Pure mathematics
Impact factor: 1.7, year: 2022
Method of publishing: Open access
https://doi.org/10.1007/s13324-021-00612-2
Permanent Link: http://hdl.handle.net/11104/0327668File Download Size Commentary Version Access 0552561.pdf 2 1.3 MB Open Access - CC licence Publisher’s postprint open-access - 2.0504324 - ÚJF 2020 RIV US eng J - Journal Article
Shapiro, B. - Tater, Miloš
Asymptotics and Monodromy of the Algebraic Spectrum of Quasi-Exactly Solvable Sextic Oscillator.
Experimental Mathematics. Roč. 28, č. 1 (2019), s. 16-23. ISSN 1058-6458. E-ISSN 1944-950X
R&D Projects: GA ČR(CZ) GA14-06818S
Institutional support: RVO:61389005
Keywords : monodromy * spectral surface * spectrum of an harmonic oscillator
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 0.659, year: 2019
Method of publishing: Limited access
https://doi.org/10.1080/10586458.2017.1325792
Permanent Link: http://hdl.handle.net/11104/0295986 - 3.0384816 - ÚJF 2013 RIV DE eng J - Journal Article
Shapiro, B. - Takemura, K. - Tater, Miloš
On Spectral Polynomials of the Heun Equation. II.
Communications in Mathematical Physics. Roč. 311, č. 2 (2012), s. 277-300. ISSN 0010-3616. E-ISSN 1432-0916
R&D Projects: GA MŠMT LC06002
Institutional support: RVO:61389005
Keywords : Heun equation * Van Vleck and Stieltjes polynomials * generalized canonical commutation relations * quadratic differential
Subject RIV: BE - Theoretical Physics
Impact factor: 1.971, year: 2012
Permanent Link: http://hdl.handle.net/11104/0217226 - 4.0343020 - ÚJF 2011 RIV US eng J - Journal Article
Shapiro, B. - Tater, Miloš
On spectral polynomials of the Heun equation. I.
Journal of Approximation Theory. Roč. 162, č. 4 (2010), s. 766-781. ISSN 0021-9045. E-ISSN 1096-0430
R&D Projects: GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10480505
Keywords : Heun equation * Spectral polynomials * Asymptotic root distribution
Subject RIV: BE - Theoretical Physics
Impact factor: 0.710, year: 2010
Permanent Link: http://hdl.handle.net/11104/0185599 - 5.0093251 - ÚJF 2008 RIV CZ eng J - Journal Article
Shapiro, B. - Tater, Miloš
Root Asymptotics of Spectral Polynomials.
[Asymptotika kořenů spektrálních polynomů.]
Acta polytechnica Scandinavica. Applied physics series. Roč. 47, č. 2 (2007), s. 33-36. ISSN 0355-2721. E-ISSN 0355-2721
R&D Projects: GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10480505
Keywords : asymptotic root -counting measure
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0153341