Derivation of Generalized Master Equations

Journal Article · Mon Jan 01 04:00:00 EST 1962 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.1724288· OSTI ID:4769765

Swenson, Robert J.

We present a derivation of a generalized master equation for the diagonal part of the occupation probability density. This derivation is valid for systems of arbitrary volume. It does not require the use of perturbation expansions nor the use of a diagonal singularity condition. In addition, a similar derivation is presented of a generalized master equation for the nondiagonal part of the occupation probability density. These equations become identical to certain other generalized master equations if a perturbation expansion is made, if a diagonal singularity condition is assumed, and if the limit of infinite volume is taken.

• Research Organization: Lehigh Univ., Bethlehem, Penna.
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-002449
• OSTI ID: 4769765
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 5 Vol. 3; ISSN JMAPAQ; ISSN 0022-2488
• Publisher: American Institute of Physics (AIP)
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DENSITY
EQUATIONS
MATHEMATICS
PERTURBATION THEORY
PROBABILITY
SINGULARITY
STATISTICS
VOLUME