DERIVATION OF THE GENERALIZED MASTER EQUATION FOR COMPOSITE PARTICLES,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 10, 1967
- Accession Number
- AD0656586
Entities
People
- James D. Mitchell
- William C. Schieve
Organizations
- Naval Radiological Defense Laboratory