An Alternative Approach to Quantum Statistics,
Abstract
The Fermi-Dirac, Bose-Einstein and, for completeness the Maxwell-Boltzmann, distributions are obtained respectively from considerations of binomial, negative binomial, and Poisson assemblies. The method used has the simplicity of the traditional derivations that are based on combinatorial considerations but involves neither the identification of most probable values with means values nor the invocation of large numbers of particles involved in the use of Stirling's approximation for factorials. The method thereby also relaxes the requirement for large numbers of particles needed in other available derivations that also use mean values, namely, the Darwin-Fowler method of steepest descents and the Khinchin method that employs limit theorems of the theory of probability.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 21, 1983
- Accession Number
- ADA131525
Entities
People
- A. K. Jajopal
- S. Teilter
Organizations
- Louisiana State University