Bound states in a nonlinear Kronig-Penney model

Details Bound states in a nonlinear Kronig-Penney model Bound states in a nonlinear Kronig-Penney model

1997-08-05

arxiv.org/abs/cond-mat/9708035v1

J. Phys. A: Math. Gen. 30 (1997) 4835-4849

Physics

Condensed Matter

TeX file, figures available as postscript files upon request

Scientific paper

10.1088/0305-4470/30/13/031

We study the bound states of a Kronig Penney potential for a nonlinear one-dimensional Schroedinger equation. This potential consists of a large, but not necessarily infinite, number of equidistant delta-function wells. We show that the ground state can be highly degenerate. Under certain conditions furthermore, even the bound state that would normally be the highest can have almost the same energy as the ground state. This holds for simple periodic potentials as well.

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