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Author | Sels, D.; Brosens, F.; Magnus, W. | ||||
Title | Wigner distribution functions for complex dynamical systems : a path integral approach | Type | A1 Journal article | ||
Year | 2013 | Publication | Physica: A : theoretical and statistical physics | Abbreviated Journal | Physica A |
Volume | 392 | Issue | 2 | Pages | 326-335 |
Keywords | A1 Journal article; Theory of quantum systems and complex systems; Condensed Matter Theory (CMT) | ||||
Abstract | Starting from Feynmans Lagrangian description of quantum mechanics, we propose a method to construct explicitly the propagator for the Wigner distribution function of a single system. For general quadratic Lagrangians, only the classical phase space trajectory is found to contribute to the propagator. Inspired by Feynmans and Vernons influence functional theory we extend the method to calculate the propagator for the reduced Wigner function of a system of interest coupled to an external system. Explicit expressions are obtained when the external system consists of a set of independent harmonic oscillators. As an example we calculate the propagator for the reduced Wigner function associated with the CaldeiraLegett model. | ||||
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Corporate Author | Thesis | ||||
Publisher | Place of Publication | Amsterdam | Editor | ||
Language | Wos | 000311135200004 | Publication Date | 2012-09-14 | |
Series Editor | Series Title | Abbreviated Series Title | |||
Series Volume | Series Issue | Edition | |||
ISSN | 0378-4371; | ISBN | Additional Links | UA library record; WoS full record; WoS citing articles | |
Impact Factor | 2.243 | Times cited | 9 | Open Access | |
Notes | ; ; | Approved | Most recent IF: 2.243; 2013 IF: 1.722 | ||
Call Number | UA @ lucian @ c:irua:101414 | Serial | 3921 | ||
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