Perturbation theory of quantum resonances
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388955%3A_____%2F16%3A00460052" target="_blank" >RIV/61388955:_____/16:00460052 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00214-016-1912-y" target="_blank" >http://dx.doi.org/10.1007/s00214-016-1912-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00214-016-1912-y" target="_blank" >10.1007/s00214-016-1912-y</a>
Alternative languages
Result language
angličtina
Original language name
Perturbation theory of quantum resonances
Original language description
We propose a contribution to the theory of quantum resonances that combines complex absorbing potentials (CAP) with standard perturbation theory. We start from resolvents that depend on two variables, the complex energy z and a perturbation parameter λ. The wave functions and the energies of the resonances are expanded in powers of λ. It is shown that the zero-order terms correspond to the standard CAP method and that higher-order corrections are significant. The introduction of a convergence operator allows to control the convergence of the perturbation series. Due to the discretization of the continuum, the series are generally asymptotic. Finally, we relate the perturbation series to numerically convenient Taylor series. The theory is illustrated on two model examples.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
CF - Physical chemistry and theoretical chemistry
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Theoretical Chemistry Accounts
ISSN
1432-2234
e-ISSN
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Volume of the periodical
135
Issue of the periodical within the volume
7
Country of publishing house
DE - GERMANY
Number of pages
9
Pages from-to
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UT code for WoS article
000378003500001
EID of the result in the Scopus database
2-s2.0-84975296129