About: Bateman's dual system revisited: Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator

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About: Bateman's dual system revisited: Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. 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. (en) S pouzitim Feynman-Hibbsova predpisu pro amplitudu vyvoje kvantujeme Batemanuv dualni system. (cs)
Title	Prehodnoceni Batemanova dualniho systemu: kvantovani, geometricka faze a vztah se zakladnim stavem linearniho harmonickeho oscilatoru (cs) Bateman's dual system revisited: Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator Bateman's dual system revisited: Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator (en)
skos:prefLabel	Prehodnoceni Batemanova dualniho systemu: kvantovani, geometricka faze a vztah se zakladnim stavem linearniho harmonickeho oscilatoru (cs) Bateman's dual system revisited: Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator Bateman's dual system revisited: Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator (en)
skos:notation	RIV/68407700:21340/04:04104577!RIV09-MSM-21340___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM 210000018)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Jizba, Petr
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	555869
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/04:04104577
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Batemanuv dualni system, drahovy integral (en)
http://linked.open.../riv/klicoveSlovo	Batemanuv dualni system drahovy integral
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[9C67E5428527]
http://linked.open...i/riv/nazevZdroje	Annals of Physics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2004
http://linked.open...v/svazekPeriodika	312
http://linked.open...iv/tvurceVysledku	Jizba, Petr Blasone, M.
http://linked.open...ain/vavai/riv/wos	000222974400004
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20210000018
issn	0003-4916
number of pages	44 (xsd:int)
http://localhost/t...ganizacniJednotka	21340

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