Publication detail

Standing Waves with Prescribed Norm for the Coupled Hartree-Fock System

LUO, X. RADULESCU, V. ZHENG, M.

Original Title

Standing Waves with Prescribed Norm for the Coupled Hartree-Fock System

Type

journal article in Web of Science

Language

English

Original Abstract

In this paper, we develop an exhaustive analysis on standing waves with prescribed mass for the coupled Hartree-Fock system, which is introduced by Hartree in the 1920's and developed by Fock for describing large systems of identical fermions. By transforming this problem into different types of constrained variational problems based on the width of the Hartree kernel, we establish several existence, multiplicity and asymptotic properties under suitable conditions on the corresponding physical parameters.

Keywords

Hartree-Fock system;normalized solution;variational method

Authors

LUO, X.; RADULESCU, V.; ZHENG, M.

Released

10. 8. 2023

ISBN

1078-0947

Periodical

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Year of study

43

Number

8

State

United States of America

Pages from

3131

Pages to

3167

Pages count

36

URL

https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:000989260600001

BibTex

@article{BUT183935,
  author="Xiao {Luo} and Vicentiu {Radulescu} and Maoding {Zheng}",
  title="Standing Waves with Prescribed Norm for the Coupled Hartree-Fock System",
  journal="DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS",
  year="2023",
  volume="43",
  number="8",
  pages="3131--3167",
  doi="10.3934/dcds.2023043",
  issn="1078-0947",
  url="https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:000989260600001"
}