{"title":"三维和二维系统中非库仑相互作用的哈特里-福克近似值","authors":"Vlad-Mihai Ene, Ilinca Lianu, Ioan Grosu","doi":"arxiv-2408.14967","DOIUrl":null,"url":null,"abstract":"We analyzed the Hartree-Fock approximation for an electron system. The\ninteraction between particles is modeled by a non-Coulombian potential. We\nanalyzed both the three-dimensional and two-dimensional systems. We obtained\naccurate analytical results for the particle energy, the particle velocity, the\nground state energy of the system as well as the momentum dependent density of\nstates. The previous classical results for the Coulombian case were reobtained\nas particular cases.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Hartree-Fock approximation for non-Coulomb interactions in three and two-dimensional systems\",\"authors\":\"Vlad-Mihai Ene, Ilinca Lianu, Ioan Grosu\",\"doi\":\"arxiv-2408.14967\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We analyzed the Hartree-Fock approximation for an electron system. The\\ninteraction between particles is modeled by a non-Coulombian potential. We\\nanalyzed both the three-dimensional and two-dimensional systems. We obtained\\naccurate analytical results for the particle energy, the particle velocity, the\\nground state energy of the system as well as the momentum dependent density of\\nstates. The previous classical results for the Coulombian case were reobtained\\nas particular cases.\",\"PeriodicalId\":501521,\"journal\":{\"name\":\"arXiv - PHYS - Quantum Gases\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Quantum Gases\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.14967\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Quantum Gases","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.14967","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hartree-Fock approximation for non-Coulomb interactions in three and two-dimensional systems
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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