On spectral asymptotic of quasi-exactly solvable quartic potential

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F22%3A00552561" target="_blank" >RIV/61389005:_____/22:00552561 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s13324-021-00612-2" target="_blank" >https://doi.org/10.1007/s13324-021-00612-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13324-021-00612-2" target="_blank" >10.1007/s13324-021-00612-2</a>

Result language
angličtina
Original language name
On spectral asymptotic of quasi-exactly solvable quartic potential
Original language description
Motivated by the earlier results of Masoero and De Benedetti (Nonlinearity 23:2501, 2010) and Shapiro et al. (Commun Math Phys 311(2):277-300, 2012), we discuss below the asymptotic of the solvable part of the spectrum for the quasi-exactly solvable quartic oscillator. In particular, we formulate a conjecture on the coincidence of the asymptotic shape of the level crossings of the latter oscillator with the asymptotic shape of zeros of the Yablonskii-Vorob'ev polynomials. Further we present a numerical study of the spectral monodromy for the oscillator in question.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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