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
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.
Key words: Cold Matter and Quantum Gas
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2012