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Some Consequences of a Simple Approach for Constructing a Theory of a Relativistic Fermi Gas
Science and Wellness Department, Broward College, Pembroke Pines, FL, USA
Department of Physics and Astronomy, Texas Tech University, Lubbock, TX, USA
Nano Tech Center, Texas Tech University, Lubbock, TX, USA
- 1 Science and Wellness Department, Broward College, Pembroke Pines, FL, USA
- 2 Department of Physics and Astronomy, Texas Tech University, Lubbock, TX, USA
- 3 Nano Tech Center, Texas Tech University, Lubbock, TX, USA
Journal of Modern Physics·Volume 12 (2021)·Pages 1966–1974·Published 16 December 2021·DOI10.4236/jmp.2021.1214113
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Abstract
It is shown how to build a simple but exact theory of a relativistic Fermi gas at 0 ° K, which is based in a recently reported analytic formula for the energies of a relativistic spin-0 particle in a box. A white dwarf star is then simulated as a sphere filled with a relativistic Fermi gas. The Chandrasekhar mass limit is simply obtained using this model. We then discuss, using the proposed approach to relativistic quantum mechanics, how the interplay between the special theory of relativity, quantum mechanics, and gravity determines the stability of the matter.
KeywordsQuantum MechanicsRelativistic Fermi GasRelativistic Quantum Mechanics
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