Degenerate Electron Gas And Star Stabilization In D Dimensions

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Journal Title, Volume, Page: 
Nuovo cimento Vol. 123B, no. 1, 17-2
Year of Publication: 
Sami M. Al-Jaber
Department of Physics, Faculty of Sciences, An-Najah National University, Palestine
Current Affiliation: 
Department of Physics, An-Najah National University, Nablus, Palestine
Preferred Abstract (Original): 

The quantum mechanical energy, the Fermi energy, and the degeneracy pressure are derived for a degenerate Fermi gas in D spatial dimensions in the non-relativistic and the extreme relativistic cases. The stability of the system due to the balancing between degeneracy pressure forces and gravitational forces is investigated. We also examine the asymptotic behavior of our results in very large dimensions and their limits in the infinite dimensional space. For computation purposes, we apply these findings to white dwarf and neutron stars.

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