Bound states in a nonlinear Kronig-Penney model

Abstract

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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References in corpus (3)

• Continuous 3d Freezing Transition in Layered Superconductors
• Ginzburg-Landau Theory of Josephson Field Effect Transistors
• Interaction of Nonlinear Schrödinger Solitons with an External Potential

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• Interlaced linear-nonlinear optical waveguide arrays
• The nonlinear Schroedinger equation for the delta-comb potential: quasi-classical chaos and bifurcations of periodic stationary solutions
• Spatiotemporal Bloch states of a spin-orbit coupled Bose-Einstein condensate in an optical lattice
• Periodic Ultranarrow Rods as 1D Subwavelength Optical Lattices