On the Laplace operator with non-local boundary conditions and Bose condensation
type: Item
instance of: scholarly article
title: On the Laplace operator with non-local boundary conditions and Bose condensation
zbMATH Open document ID: 0716.35059
DOI: 10.1016/0034-4877(89)90007-4
author: Manfred Schröder
published in: Reports on Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: The author studies the spectrum of the Laplacian on the disk of radius R, with the boundary condition \(\partial u/\partial r+Qu|_{r=R}=0\), where Q is a convolution type operator. Asymptotic behavior of the spectrum is obtained when R tends to infinity, and applications to Bose condensation are given.
reviewed by: André Martinez
Mathematics Subject Classification ID: 35P20
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 4179950
zbMATH Keywords: non-local boundary conditions
zbMATH Keywords: Bose condensation
MaRDI profile type: Publication
full work available at URL: 0034-4877(89)90007-4
OpenAlex ID: W1966031862
cites work: On the spectrum of Schrödinger operators at the half space with a certain class of boundary conditions
cites work: Q3661894
Recommended article: Perturbation theory for Bose–Einstein condensates on bounded space domains
Recommended article: Boundary problems for the quantum Bose gas
Recommended article: Localization phenomena in nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities: theory and applications to Bose-Einstein condensates
Recommended article: Nonlocal operators with local boundary conditions in higher dimensions
Recommended article: Bose-Einstein condensation and global dynamics of solutions to a hyperbolic Kompaneets equation
Recommended article: Q5494597
Recommended article: The nonlinear Dirac equation in Bose-Einstein condensates: foundation and symmetries
Recommended article: Non-cooperative elliptic systems modeling interactions of Bose-Einstein condensates in \(\mathbb{R}^N\)
Recommended article: On Bose-Einstein condensation in one-dimensional lattices of delta functions
Recommended article: Bose-Einstein condensation on a manifold with non-negative Ricci curvature
description: scientific article; zbMATH DE number 4179950