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Non-self-adjoint Schrödinger operator with a periodic potential/ Oktay Veliev.

9783030726836 (electronic bk.)
3030726835 (electronic bk.)
3030726827
9783030726829

Cham, Switzerland : Springer, 2021.

English

1 online resource

10.1007/978-3-030-72683-6 doi

QC174.17.S3

530.12/4

This book gives a complete spectral analysis of the non-self-adjoint Schrödinger operator with a periodic complex-valued potential. Building from the investigation of the spectrum and spectral singularities and construction of the spectral expansion for the non-self-adjoint Schrödinger operator, the book features a complete spectral analysis of the Mathieu-Schrödinger operator and the Schrödinger operator with a parity-time (PT)-symmetric periodic optical potential. There currently exists no general spectral theorem for non-self-adjoint operators; the approaches in this book thus open up new possibilities for spectral analysis of some of the most important operators used in non-Hermitian quantum mechanics and optics. Featuring detailed proofs and a comprehensive treatment of the subject matter, the book is ideally suited for graduate students at the intersection of physics and mathematics.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed July 1, 2021).

Print version: 9783030726829

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