More on the Application of the 2x2 Dirac Type Matrix Equation to Statistical Mechanics
| Main Author: | Francesco R. Ruggeri |
|---|---|
| Format: | info publication-preprint Journal |
| Terbitan: |
, 2018
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/1319455 |
Daftar Isi:
- Previously a 2x2 matrix equation, linear in energy, was obtained from Einstein’s energy momentum equation E2=p2+m2 which reproduced Schrodinger zitterbewegung [1]. A similar equation was applied to the case of a gas with two allowable energy levels and to a gas in a potential field, the goal beng to obtain zitterbewegung results in statistical mechanics. The starting point for applying the 2x2 matrix equation to statistical mechanics was the fact that the 2x2 matrix approach yields an eigenvector which is the square root of two probabilities which sum to one. In this note, we wish to see if we can extend ideas further. First, we wish to to see if there are stronger reasons for applying the 2x2 matrix approach to statistical mechanics, and second, we wish to find further analogies between the approach and statistical mechanics. We consider relationships between physical constraint equations and the 2x2 matrix approach., We also consider functions analogous to the rest mass and energy in the statistical case, where the analogous energy also represents the frequency in zitterbewegung.