On an effective equation of the reduced Hartree-Fock theory
Name
10.1515_ans-2022-0070.pdf
Description
Published version
Size
3.62 MB
Format
Adobe PDF
Checksum (MD5)
395ec734a254ed53e5f4a05e8fe72a01
Author(s)
Chenn, Ilias
Mayboroda, Svitlana
Wang, Wei
Zhang, Shiwen
Date Issued
June 27, 2023
Journal
Advanced Nonlinear Studies
Publisher
Walter de Gruyter GmbH
Citation
Chenn, Ilias, Mayboroda, Svitlana, Wang, Wei and Zhang, Shiwen. "On an effective equation of the reduced Hartree-Fock theory" Advanced Nonlinear Studies, vol. 23, no. 1, 2023, pp. 20220070.
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1515/ans-2022-0070
