On a Novel Effective Equation of the Reduced Hartree-Fock Theory

We show that there is an 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...

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Bibliographic Details
Main Authors:	Chenn, Ilias, Mayboroda, Svitlana, Wang, Wei, Zhang, Shiwen
Format:	Journal Article
Language:	English
Published:	25-06-2021
Subjects:	Mathematics - Analysis of PDEs Mathematics - Functional Analysis Mathematics - Mathematical Physics Physics - Mathematical Physics
Online Access:	Get full text
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Summary:	We show that there is an 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.
DOI:	10.48550/arxiv.2106.13887