Thomas-Fermi Model in Rindler Space

Abstract

In this article we have investigated the Thomas-Fermi model for the electron gas in Rindler space. We have found that if the uniform acceleration is along $+x$-direction, then there is $y-z$-symmetry in space. For the sake of mathematical simplicity, we have assumed two dimensional spatial structure ($x-y$) in Rindler space. It has been observed that in two dimensional spatial coordinates the electrons are distributed discontinuously but in a periodic manner in a number of rectangular strips like domain along $\pm y$-direction. Some of them are having void structure, with no electrons inside such rectangular strips, while some are filled with electrons. We call the later type domain as the normal zone. We have also given physical interpretation for such exotic type electron distribution in Rindler space.

arXiv comment9 pages with one embedded .eps figure. Some version will appear in Mod. Phys. Lett. A

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• The Klein first integrals in an equilibrium system with electromagnetic, weak, strong and gravitational interactions
• Classical relativistic ideal gas in thermodynamic equilibrium in a uniformly accelerated reference frame
• Schrödinger Equation of a particle in an Uniformly Accelerated Frame and the Possibility of a New kind of Quanta
• The Hawking Radiation as Gravitational Fowler-Nordheim Emission in Uniformly Accelerated Frame, in The Non-Relativistic Scenario

Cited by in corpus (1)

• Non-Gaussian Saha's ionization in Rindler spacetime and the equivalence principle