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On the localization regime of certain random operators within Hartree–Fock theory.
- Source :
-
Journal of Mathematical Physics . Nov2023, Vol. 64 Issue 11, p1-19. 19p. - Publication Year :
- 2023
-
Abstract
- Localization results for a class of random Schrödinger operators within the Hartree–Fock approximation are proved in two regimes: Large disorder and weak disorder/extreme energies. A large disorder threshold λHF analogous to the threshold λAnd obtained in Schenker [Lett. Math. Phys. 105(1), 1–9 (2015)] is provided. We also show certain stability results for this large disorder threshold by giving examples of distributions for which λHF converges to λAnd, or to a number arbitrarily close to it, as the interaction strength tends to zero. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RANDOM operators
*HARTREE-Fock approximation
*SCHRODINGER operator
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 64
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 173977313
- Full Text :
- https://doi.org/10.1063/5.0156478