  
  
Stat 
Members: 3661 Articles: 2'599'751 Articles rated: 2609
11 November 2024 

   

Article overview
 

Generalized Moyal structures in phase space, kinetic equations and their classical limit: II. Applications to harmonic oscillator models  C. Tzanakis
; A. P. Grecos
; P. Hatjimanolaki
;  Date: 
14 May 1996  Subject:  quantph  Abstract:  The formalism of generalized Wigner transformations developped in a previous paper, is applied to kinetic equations of the Lindblad type for quantum harmonic oscillator models. It is first applied to an oscillator coupled to an equilibrium chain of other oscillators having nearestneighbour interactions. The kinetic equation is derived without using the so called rotatingwave approximation. Then it is shown that the classical limit of the corresponding phasespace equation is independent of the ordering of operators corresponding to the inverse of the generalized Wigner transformation, provided the latter is involutive. Moreover, this limit equation, which conserves the probabilistic nature of the distribution function and obeys an Htheorem, coincides with the kinetic equation for the corresponding classical system, which is derived independently and is distinct from that usually obtained in the litterature and not sharing the above properties. Finally the same formalism is applied to more general model equations used in quantum optics and it is shown that the above results remain unaltered.  Source:  arXiv, quantph/9605016  Services:  Forum  Review  PDF  Favorites 


No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

 


