Path-integral approach to the Wigner-Kirkwood expansion

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00217323" target="_blank" >RIV/68407700:21340/14:00217323 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevE.89.012135" target="_blank" >http://dx.doi.org/10.1103/PhysRevE.89.012135</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.89.012135" target="_blank" >10.1103/PhysRevE.89.012135</a>

Result language
angličtina
Original language name
Path-integral approach to the Wigner-Kirkwood expansion
Original language 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—

Project
<a href="/en/project/GCP402%2F12%2FJ077" target="_blank" >GCP402/12/J077: Application of generalized statistics in critical phenomena and financial markets</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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