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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.14967 |
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| _version_ | 1866913481916153856 |
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| author | Ene, Vlad-Mihai Lianu, Ilinca Grosu, Ioan |
| author_facet | Ene, Vlad-Mihai Lianu, Ilinca Grosu, Ioan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14967 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hartree-Fock approximation for non-Coulomb interactions in three and two-dimensional systems Ene, Vlad-Mihai Lianu, Ilinca Grosu, Ioan Quantum Gases 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. |
| title | Hartree-Fock approximation for non-Coulomb interactions in three and two-dimensional systems |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2408.14967 |