Perturbation method for non-square Hamiltonians and its application to polynomial oscillators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F05%3A00000915" target="_blank" >RIV/61389005:_____/05:00000915 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Perturbation method for non-square Hamiltonians and its application to polynomial oscillators
Original language description
A remarkable extension of Rayleigh-Schrodinger perturbation method is found and described. Its (N + q) x (N + 1)dimensional Hamiltonians are assumed emerging during quasi-exact constructions of bound states. At all q > 1, the role of the traditional single eigenvalue is taken over by an energy/coupling q-plet. In a way circumventing both the non-linearity and non-Hermiticity difficulties, the corrections are defined by compact, q-dimensional matrix-inversion formulae.
Czech name
Poruchová metoda pro nečtvercové Hamiltoniány a její aplikace pro polynomiální oscilátory
Czech description
Nalezeno a popsáno zobecnění poruchové metody pro matice dimenze (N+q) x (N+1).

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/IAA1048302" target="_blank" >IAA1048302: Quantum teory and pseudo-Hermitian Hamiltonians</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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