Title 



On the path integral representation of the Wigner function and the BarkerMurray ansatz


Author 





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 nonlocal 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 nonlocal time dependent forces. As shown by a simple example the specific form of the path integral makes the formulation ideal for Monte Carlo simulation.  

Language 



English


Source (journal) 



Physics letters: A.  Amsterdam, 1967, currens 

Publication 



Amsterdam : 2012


ISSN 



03759601


Volume/pages 



376:6/7(2012), p. 809812


ISI 



000301167300005


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