Bound states in a nonlinear Kronig - Penney model
Open Access
- 7 July 1997
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 30 (13) , 4835-4849
- https://doi.org/10.1088/0305-4470/30/13/031
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.Keywords
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This publication has 11 references indexed in Scilit:
- Exact travelling wave solutions for a generalized nonlinear Schrödinger equationJournal of Physics A: General Physics, 1996
- Ginzburg–Landau theory of Josephson field effect transistorsApplied Physics Letters, 1996
- Small-amplitude solitary structures for an extended nonlinear Schrödinger equationJournal of Physics A: General Physics, 1996
- Continuous 3D Freezing Transition in Layered SuperconductorsPhysical Review Letters, 1996
- Theoretical study of the critical current of YBa2Cu3O7−δ bicrystals with hole-deficient grain boundariesPhysica C: Superconductivity and its Applications, 1995
- Structure of Flux Lines in Three-Dimensional Layered Type-II Superconductor: Numerical ExperimentsPhysical Review Letters, 1995
- New continuous model for intrinsic layered superconductorsPhysica C: Superconductivity and its Applications, 1992
- Theory for resistive transition in cuprate oxides multilayersPhysica C: Superconductivity and its Applications, 1992
- Twinning-plane superconductivityAdvances in Physics, 1987
- Pinning Effect due to Periodic Variation of Impurity Concentration in Type II SuperconductorsProgress of Theoretical Physics, 1975