About: Path-integral approach to the Wigner-Kirkwood expansion

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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	We study the high-temperature behavior of quantum-mechanical path integrals. Starting from the Feynman-Kac formula, we derive a functional representation of the Wigner-Kirkwood perturbation expansion for quantum Boltzmann densities. As shown by its applications to different potentials, the presented expansion turns out to be quite efficient in generating analytic form of the higher-order expansion coefficients. To put some flesh on the bare bones, we apply the expansion to obtain basic thermodynamic functions of the one-dimensional anharmonic oscillator. Further salient issues, such as generalization to the Bloch density matrix and comparison with the more customary world-line formulation, are discussed. We study the high-temperature behavior of quantum-mechanical path integrals. Starting from the Feynman-Kac formula, we derive a functional representation of the Wigner-Kirkwood perturbation expansion for quantum Boltzmann densities. As shown by its applications to different potentials, the presented expansion turns out to be quite efficient in generating analytic form of the higher-order expansion coefficients. To put some flesh on the bare bones, we apply the expansion to obtain basic thermodynamic functions of the one-dimensional anharmonic oscillator. Further salient issues, such as generalization to the Bloch density matrix and comparison with the more customary world-line formulation, are discussed. (en)
Title	Path-integral approach to the Wigner-Kirkwood expansion Path-integral approach to the Wigner-Kirkwood expansion (en)
skos:prefLabel	Path-integral approach to the Wigner-Kirkwood expansion Path-integral approach to the Wigner-Kirkwood expansion (en)
skos:notation	RIV/68407700:21340/14:00217323!RIV15-MSM-21340___
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(GCP402/12/J077), S
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Jizba, Petr Zatloukal, Václav
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	35912
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/14:00217323
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	QUANTUM-STATISTICAL-MECHANICS; HIGHER-DERIVATIVE EXPANSION; STRING INSPIRED METHOD; ONE-COMPONENT PLASMA; ANHARMONIC-OSCILLATOR; PARTITION-FUNCTION; DENSITY-MATRIX; ENERGY-LEVELS; FIELD-THEORY; TIME (en)
http://linked.open.../riv/klicoveSlovo	ANHARMONIC-OSCILLATOR DENSITY-MATRIX ENERGY-LEVELS HIGHER-DERIVATIVE EXPANSION ONE-COMPONENT PLASMA PARTITION-FUNCTION QUANTUM-STATISTICAL-MECHANICS STRING INSPIRED METHOD FIELD-THEORY TIME
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[B006C9CE336A]
http://linked.open...i/riv/nazevZdroje	Physical Review E
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Application of generalized statistics in critical phenomena and financial markets
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	89
http://linked.open...iv/tvurceVysledku	Jizba, Petr Zatloukal, Václav
http://linked.open...ain/vavai/riv/wos	000332167200002
issn	1539-3755
number of pages	19 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevE.89.012135
http://localhost/t...ganizacniJednotka	21340

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