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arXiv:2408.14967 · Physics Letters A

Hartree-Fock approximation for non-Coulomb interactions in three and two-dimensional systems

Vlad-Mihai Ene, Ilinca Lianu, I. Grosu

Published Nov 17, 2024• 1 citation
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Abstract

We analyzed the Hartree-Fock approximation for an electron system. The interaction between particles is modeled by a non-Coulombian potential. We analyzed both the three-dimensional and two-dimensional systems. We obtained accurate analytical results for the particle energy, the particle velocity, the ground state energy of the system as well as the momentum dependent density of states . The previous classical results for the Coulombian case were reobtained as particular cases.

DOI
10.1016/j.physleta.2024.130064

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