A weak KAM approach to the periodic stationary Hartree equation-Reference-Cited by-同舟云学术

A weak KAM approach to the periodic stationary Hartree equation

Published:2021-08-18 Issue:6 Volume:28 Page:
ISSN:1021-9722
Container-title:Nonlinear Differential Equations and Applications NoDEA
language:en
Short-container-title:Nonlinear Differ. Equ. Appl.

Author:

Zanelli L.,Mandreoli F.,Cardin F.

Abstract

AbstractWe present, through weak KAM theory, an investigation of the stationary Hartree equation in the periodic setting. More in details, we study the Mean Field asymptotics of quantum many body operators thanks to various integral identities providing the energy of the ground state and the minimum value of the Hartree functional. Finally, the ground state of the multiple-well case is studied in the semiclassical asymptotics thanks to the Agmon metric.

Funder

MIUR-PRIN

Università degli Studi di Padova

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00030-021-00719-2.pdf

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