Detail publikačního výsledku

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

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

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Hartree-Fock system;normalized solution;variational method

Klíčová slova v angličtině

Hartree-Fock system;normalized solution;variational method

Autoři

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

Rok RIV

2024

Vydáno

10.08.2023

ISSN

1078-0947

Periodikum

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Svazek

43

Číslo

8

Stát

Spojené státy americké

Strany od

3131

Strany do

3167

Strany počet

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"
}