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arXiv · 2408.14967

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

Vlad-Mihai Ene·Ilinca Lianu·Ioan Grosu
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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.

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Vlad-Mihai Ene, Ilinca Lianu, Ioan Grosu. 2024-08-27. Hartree-Fock approximation for non-Coulomb interactions in three and two-dimensional systems. https://arxiv.org/abs/2408.14967

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