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

Abstract

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.

References in corpus (5)

• Effective confining potential of quantum states in disordered media
• Localization landscape theory of disorder in semiconductors II: Urbach tails of disordered quantum well layers
• Localization landscape theory of disorder in semiconductors I: Theory and modeling
• A new approach to the modelling of local defects in crystals: the reduced Hartree-Fock case
• The exponential decay of eigenfunctions for tight binding Hamiltonians via landscape and dual landscape functions