Bateman's dual system revisited: Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F04%3A04104577" target="_blank" >RIV/68407700:21340/04:04104577 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Bateman's dual system revisited: Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator
Original language description
By using the Feynman-Hibbs prescription for the evolution amplitude, we quantize the system of a damped harmonic oscillator coupled to its time-reversed image, known as Bateman's dual system. The time-dependent quantum states of such a system are constructed and discussed entirely in the framework of the classical theory. The corresponding geometric (Pancharatnam) phase is calculated and found to be directly related to the ground-state energy of the 1D linear harmonic oscillator to which the 2D system reduces under appropriate constraint.
Czech name
Prehodnoceni Batemanova dualniho systemu: kvantovani, geometricka faze a vztah se zakladnim stavem linearniho harmonickeho oscilatoru
Czech description
S pouzitim Feynman-Hibbsova predpisu pro amplitudu vyvoje kvantujeme Batemanuv dualni system.
Classification
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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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annals of Physics
ISSN
0003-4916
e-ISSN
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Volume of the periodical
312
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
44
Pages from-to
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UT code for WoS article
000222974400004
EID of the result in the Scopus database
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