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

1 Scopus citations

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

Bibliographical note

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

Keywords

landscape theory
reduced Hartree-Fock equation
semi-conductor model

Publisher link

10.1515/ans-2022-0070

Find It

Find It at U of M Libraries

Cite this

@article{2261e1fb0805432383a18014b06c7581,

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.",

keywords = "landscape theory, reduced Hartree-Fock equation, semi-conductor model",

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

note = "Publisher Copyright: {\textcopyright} 2023 the author(s), published by De Gruyter.",

year = "2023",

month = jan,

day = "1",

doi = "10.1515/ans-2022-0070",

language = "English (US)",

volume = "23",

journal = "Advanced Nonlinear Studies",

issn = "1536-1365",

publisher = "Walter de Gruyter GmbH",

number = "1",

}

TY - JOUR

T1 - On an effective equation of the reduced Hartree-Fock theory

AU - Chenn, Ilias

AU - Mayboroda, Svitlana

AU - Wang, Wei

AU - Zhang, Shiwen

PY - 2023/1/1

Y1 - 2023/1/1

N2 - 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.

AB - 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.

KW - landscape theory

KW - reduced Hartree-Fock equation

KW - semi-conductor model

UR - https://www.scopus.com/pages/publications/85164659697

UR - https://www.scopus.com/pages/publications/85164659697#tab=citedBy

U2 - 10.1515/ans-2022-0070

DO - 10.1515/ans-2022-0070

M3 - Article

AN - SCOPUS:85164659697

SN - 1536-1365

VL - 23

JO - Advanced Nonlinear Studies

JF - Advanced Nonlinear Studies

IS - 1

M1 - 20220070

ER -

On an effective equation of the reduced Hartree-Fock theory

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this