On an effective equation of the reduced Hartree-Fock theory

Ilias Chenn; Svitlana Mayboroda; Wei Wang; Shiwen Zhang

doi:10.1515/ans-2022-0070

On an effective equation of the reduced Hartree-Fock theory

Ilias Chenn, Svitlana Mayboroda, Wei Wang, Shiwen Zhang

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that there is a one-to-one correspondence between solutions to the Poisson-landscape equations and the reduced Hartree-Fock equations in the semi-classical limit at low temperature. Moreover, we prove that the difference between the two corresponding solutions is small by providing explicit estimates.

Original language	English (US)
Article number	20220070
Journal	Advanced Nonlinear Studies
Volume	23
Issue number	1
DOIs	https://doi.org/10.1515/ans-2022-0070
State	Published - Jan 1 2023

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© 2023 the author(s), published by De Gruyter.

Keywords

landscape theory
reduced Hartree-Fock equation
semi-conductor model

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10.1515/ans-2022-0070

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title = "On an effective equation of the reduced Hartree-Fock theory",

abstract = "We show that there is a one-to-one correspondence between solutions to the Poisson-landscape equations and the reduced Hartree-Fock equations in the semi-classical limit at low temperature. Moreover, we prove that the difference between the two corresponding solutions is small by providing explicit estimates.",

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author = "Ilias Chenn and Svitlana Mayboroda and Wei Wang and Shiwen Zhang",

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AU - Mayboroda, Svitlana

AU - Wang, Wei

AU - Zhang, Shiwen

PY - 2023/1/1

Y1 - 2023/1/1

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KW - reduced Hartree-Fock equation

KW - semi-conductor model

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On an effective equation of the reduced Hartree-Fock theory

Abstract

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