ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The present article is concerned with minimizers of the attractive Hartree energy functional Hg[ψ¯,ψ]=〈fraction SHAPE="CASE"〉12||∇ψ||22+(ψ,vψ)2+g(ψ,V * |ψ|2ψ)2 on Rd, d≥2, for a general class of external potentials v and two-body interactions V of positive type, with g〈0. We prove spontaneous symmetry breaking in the large coupling limit. A numerical investigation visualizes this regime in the example of an external double well potential. © 2002 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.1488673
Permalink