Eur. Phys. J. D (2012) 66: 242
https://doi.org/10.1140/epjd/e2012-30194-1

Regular Article

Eigenvalues of the nonlinear Schrödinger equation

Department of Physics University of Colorado, Boulder, 80309-0390 Colorado, USA

^a e-mail: sydney.geltman@colorado.edu

Received: 23 March 2012
Received in final form: 18 June 2012
Published online: 28 September 2012

Abstract

Properties of the nonlinear Schrödinger equation, a form that often arises in many-body problems, are investigated. The eigenvalues for a diffuse boson gas confined in a sphere are evaluated. The important differences from the linear case, such as the nonorthogonality of the eigenfunctions and their dramatically different variational properties are examined.