Ideal gases and degenerate Fermi gases in external torsion fields
- URL: http://arxiv.org/abs/2307.13647v1
- Date: Tue, 25 Jul 2023 16:56:04 GMT
- Title: Ideal gases and degenerate Fermi gases in external torsion fields
- Authors: Chih-Hung Wang, Yu-Huei Wu
- Abstract summary: We calculate the macroscopic effects of the spin-torsion coupling on ideal gases and Fermi gases.
The torsion susceptibility of ideal gases is inversely proportional to the temperature and is constant in Fermi gases.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate the effects of external torsion fields on ideal gases and
Fermi gases, and derive a macroscopic quantity, which we call torsion
susceptibility. We first consider the Dirac fermions in the Riemann-Cartan
spacetime minimally coupled to the background torsion and electromagnetic
fields. After applying the Foldy-Wouthuysen transformation, Hamiltonian of a
spin-1/2 particle in weak field limit is obtained. The coupling of spin and
spatial components of axial torsion vector has a Zeeman-like effect, which
removes the degeneracy of energy levels and splits the energy levels with
respect to the spin. We calculate the macroscopic effects of the spin-torsion
coupling on ideal gases, which satisfying the Boltzmann distribution, and Fermi
gases, which satisfying the Fermi-Dirac distribution. The torsion
susceptibility of ideal gases is inversely proportional to the temperature and
is constant in Fermi gases.
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