Title 



Wigner distribution functions for complex dynamical systems : a path integral approach


Author 





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.  

Language 



English


Source (journal) 



Physica: A: theoretical and statistical physics.  Amsterdam 

Publication 



Amsterdam : 2013


ISSN 



03784371


Volume/pages 



392:2(2013), p. 326335


ISI 



000311135200004


Full text (Publishers DOI) 


 

Full text (publishers version  intranet only) 


 
