Towards spectral theory of the Nonstationary Schrödinger equation with a two-dimensionally perturbed one-dimensional potential

Details Towards spectral theory of the Nonstationary Schrödinger equation with a two-dimensionally perturbed one-dimensional potential Towards spectral theory of the Nonstationary Schrödinger equation with a two-dimensionally perturbed one-dimensional potential

2004-11-13

arxiv.org/abs/nlin/0411036v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

22 pages, no figures

Scientific paper

The Nonstationary Schr\"{o}dinger equation with potential being a
perturbation of a generic one-dimensional potential by means of a decaying
two-dimensional function is considered here in the framework of the extended
resolvent approach. The properties of the Jost solutions and spectral data are
investigated.

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