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	Author	Sels, D.; Brosens, F.; Magnus, W.
	Title	On the path integral representation of the Wigner function and the BarkerMurray ansatz			Type	A1 Journal article
	Year	2012	Publication	Physics letters : A	Abbreviated Journal	Phys Lett A
	Volume	376	Issue	6/7	Pages	809-812
	Keywords	A1 Journal article; Theory of quantum systems and complex systems; Condensed Matter Theory (CMT)
	Abstract	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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	Corporate Author				Thesis
	Publisher		Place of Publication	Amsterdam	Editor
	Language		Wos	000301167300005	Publication Date	2012-01-17
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN	0375-9601;	ISBN		Additional Links	UA library record; WoS full record; WoS citing articles
	Impact Factor	1.772	Times cited	7	Open Access
	Notes	; ;			Approved	Most recent IF: 1.772; 2012 IF: 1.766
	Call Number	UA @ lucian @ c:irua:94006			Serial	2445
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