
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 NeumannLiouville equation. The generalized master equations are then obtained for diagonal and offdiagonal 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