Accession Number : AD0784992

Title :   Parallel Concepts in the Derivation of the Classical and Quantum Boltzmann Equations.

Descriptive Note : Interim rept.,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s) : Bernstein,Ira B. ; Book,David L.

Report Date : JUL 1974

Pagination or Media Count : 26

Abstract : The kinetic equation describing a spacially inhomogeneous dilute gas is derived from the appropriate hierarchy equations according to both classical and quantum mechanics. In the former case one obtains the Boltzmann equation, in the latter the Uehling-Uhlenbeck equation. The derivations in the two cases are completely parallel and assume only that two-particle correlation functions factor into products of one-particle functions when the two particles are separated by distances greater than the range lambda of the interaction potential, and that terms of order n(lambda cubed) <<1, where n is the particle density, may be dropped compared with terms of order unity in equations of motion. (Author)

Descriptors :   *Kinetic theory, *Boltzmann equation, Statistical mechanics, Quantum theory, Equations of motion, Wave equations

Subject Categories : Physical Chemistry

Distribution Statement : APPROVED FOR PUBLIC RELEASE