Accession Number : AD0656586

Title :   DERIVATION OF THE GENERALIZED MASTER EQUATION FOR COMPOSITE PARTICLES,

Corporate Author : NAVAL RADIOLOGICAL DEFENSE LAB SAN FRANCISCO CALIF

Personal Author(s) : Mitchell,James D. ; Schieve,William C.

Report Date : 10 JUL 1967

Pagination or Media Count : 46

Abstract : Generalized master equations for composite particles are derived. The methods of Girardeau are used to construct the appropriate representation of the density matrix for particles having internal degrees of freedom. The proper exchange symmetry between particles is described as an initial condition on the von Neumann-Liouville equation. The generalized master equations are then obtained for diagonal and off-diagonal matrix elements by a generalization of the projection technique of Zwanzig. The form of the equations is shown to be exactly the same as that obtained by Prigogine for structureless particles. The (lambda sq.)t approximation is discussed and it is shown that in this limit the particles will approach an equilibrium state in which exchange between the composite particles may be ignored. (Author)

Descriptors :   (*STATISTICAL MECHANICS, EQUATIONS), (*HYDROGEN, STATISTICAL MECHANICS), (*IRREVERSIBLE PROCESSES, EQUATIONS), GASES, PARTICLES, DIATOMIC MOLECULES, HILBERT SPACE, SELECTION RULES(PHYSICS), ELECTROMAGNETIC FIELDS, KINETIC THEORY

Subject Categories : Physical Chemistry
      Nuclear Physics & Elementary Particle Physics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE