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Title
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On the path integral representation of the Wigner function and the BarkerMurray ansatz
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Author
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Abstract
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| The propagator of the Wigner function is constructed from the WignerLiouville equation as a phase space path integral over a new effective Lagrangian. In contrast to a paper by Barker and Murray (1983) [1], we show that the path integral can in general not be written as a linear superposition of classical phase space trajectories over a family of non-local forces. Instead, we adopt a saddle point expansion to show that the semiclassical Wigner function is a linear superposition of classical solutions for a different set of non-local time dependent forces. As shown by a simple example the specific form of the path integral makes the formulation ideal for Monte Carlo simulation. |
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Language
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English
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Source (journal)
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Physics letters : A. - Amsterdam, 1967, currens
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Publication
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Amsterdam
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North-Holland
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2012
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ISSN
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0375-9601
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DOI
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10.1016/J.PHYSLETA.2012.01.020
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Volume/pages
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376
:6/7
(2012)
, p. 809-812
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ISI
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000301167300005
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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