Many quantum gravity theories predict a minimal length of the order of the Planck length. This prescription implies a numberof modifications in the phase space structure that have consequences on any statistical mechanics approach. We have recently introduced (Shababi and Ourabah, 2019) a formulation of the Thomas–Fermi model in consistency with the minimal length prescription. Herein we extend our formulation to include relativistic effects. In this occasion, we present a formulation in an N -dimensional space to shed light on the behavior of the different corrections with space dimensionality, and generalize our formulation to include the effect of a very strong magnetic field. To substantiate our point, we apply our model to the screening process and provide estimations of the Fermi length for star interior.
کلید واژگان :Thomas-Fermi model; Generalized uncertainty principle; Minimal length uncertainty; Relativistic quantum mechanics; N-dimensional space
ارزش ریالی : 600000 ریال
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