Scattering Balance Approach to Statistical Mechanics and Quantum Mechanics
| Main Author: | Francesco R. Ruggeri |
|---|---|
| Format: | info publication-preprint eJournal |
| Terbitan: |
, 2020
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/3726894 |
Daftar Isi:
- Addendum: March 26, 2020 In this note, we argue that the reaction balance approach allows for equilibrium calculations for small numbers of particles. In the case of small particle numbers, however, one must be careful using (1-f(e)) as a Pauli blocking factor. It seems this factor used in reaction equations implies a large number of particles. Thus, in the example presented at the end of this note, in which the Fermi Dirac distribution has been "forced" on the electrons, there should be other electrons participating to justify the existence of the Fermi Dirac form. In a note posted on March 26, 2020: Effects of Averaging on Reactions Based on Generalized Statistics, we examine these ideas in detail and consider the case of small numbers. In a series of notes, we argued a time reversal elastic scattering balance may yield the equilibrium number distribution for the Maxwell-Boltzmann, Fermi-Dirac (FD), Bose-Einstein (BE) and other generalized cases. This approach makes no use of ensembles, entropy or partition functions. For electrons in an atom, however, it seems there are interactions with photons as opposed to electron-electron scattering, yet temperature equilibrium may still apply. In this note, we try to apply an interaction approach to quantum systems and examine if it matches traditional treatments, especially those related to calculating spatial density.