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Non-self-adjoint Schrodinger operator with a periodic potential

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Non-self-adjoint Schrodinger operator with a periodic potentialby Oktay Veliev.
作者:	Veliev, Oktay.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	x, 294 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Schrodinger operator.
電子資源:	https://doi.org/10.1007/978-3-030-72683-6
ISBN:	9783030726836$q(electronic bk.)

Non-self-adjoint Schrodinger operator with a periodic potential
Veliev, Oktay.

Non-self-adjoint Schrodinger operator with a periodic potential[electronic resource] /by Oktay Veliev. - Cham :Springer International Publishing :2021. - x, 294 p. :ill., digital ;24 cm.

1. Spectral Theory for the Schrodinger Operator with a Complex-Valued Periodic Potential -- 2. On the Special Potentials -- 3. On the Matheiu-Schrodinger Operator -- 4. PT-Symmetric Periodic Optical Potential -- Index.

This book gives a complete spectral analysis of the non-self-adjoint Schrodinger 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 Schrodinger operator, the book features a complete spectral analysis of the Mathieu-Schrodinger operator and the Schrodinger 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.

ISBN: 9783030726836$q(electronic bk.)

Standard No.: 10.1007/978-3-030-72683-6doiSubjects--Topical Terms:

275658
Schrodinger operator.

LC Class. No.: QC174.17.S3 / V455 2021

Dewey Class. No.: 530.124

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520 $a This book gives a complete spectral analysis of the non-self-adjoint Schrodinger 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 Schrodinger operator, the book features a complete spectral analysis of the Mathieu-Schrodinger operator and the Schrodinger 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.
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