Chaos, dissipation and quantal Brownian motion Academic Article uri icon

abstract

  • ion in the theory of quantum dissipation and quantal Brownian motion. That question concerns the problem of quantal particle that interacts with quantal (chaotic) degrees of freedom. c fl Societ`a Italiana di Fisica 2 Doron Cohen 1. -- Definition of the problem We are interested in the reduced dynamics of a slow degree of freedom (x; p) that interacts with a `bath'. The Hamiltonian is H = H 0 (x; p) +H env (x; Q ff ; P ff ) (1) In Fig.1 we display a list of our main assumptions and an illustration of our leading example. In this example the slow degree of freedom is the `piston', and the `bath' consist of one gas particle. Assumptions: ffl H env (Q; P ; x) with x=const ge

publication date

  • January 1, 1999