Eigenvalues of the nonlinear Schrödinger equation
Department of Physics University of Colorado,
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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