# Accession Number:

## AD0656586

# Title:

## DERIVATION OF THE GENERALIZED MASTER EQUATION FOR COMPOSITE PARTICLES,

# Descriptive Note:

# Corporate Author:

## NAVAL RADIOLOGICAL DEFENSE LAB SAN FRANCISCO CALIF

# Personal Author(s):

# Report Date:

## 1967-07-10

# Pagination or Media Count:

## 46.0

# 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:

# Subject Categories:

- Physical Chemistry
- Nuclear Physics and Elementary Particle Physics
- Thermodynamics