https://doi.org/10.1140/epjp/s13360-022-02596-9
Regular Article
On the Thomas–Fermi model at the noncommutative framework
Center for Theoretical Physics, College of Physical Science and Technology, Sichuan University, 610065, Chengdu, People’s Republic of China
Received:
11
September
2021
Accepted:
13
March
2022
Published online:
21
March
2022
In this paper, we present a generalized formulation of the Thomas–Fermi (TF), by considering the effect of a noncommutative space-time. Using the modified dispersion relations arising from the noncommutative effects, we obtain modified TF equations. We present various variants of the model: at zero temperature and in the presence of thermal effects, both in the non-relativistic and the relativistic regimes. We also consider the effect produced by a very strong magnetic field. To illustrate the model, we treat the problem of dielectric screening and discuss the effects of noncommutativity on the TF length.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
