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Perturbations of the Spectrum of the Schroedinger Operator with a Complex Periodic Potential

  • V. A. Zheludev
Part of the Topics in Mathematical Physics book series (TOMP, volume 3)

Abstract

The present article is devoted to an investigation of the discrete spectrum of the nonselfadjoint Schroedinger operator with a complex periodic potential perturbed by a decreasing potential. It is well known [1] that the spectrum of the unperturbed operator is a purely continuous spectrum situated on a denumerable sequence of arcs in the λ plane.

Keywords

Unit Circle Continuous Spectrum Accumulation Point Edge Point Unit Period 
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Literature Cited

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Copyright information

© Consultants Bureau, New York 1969

Authors and Affiliations

  • V. A. Zheludev

There are no affiliations available

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