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Non-self-adjoint Schrödinger Operator with a Periodic Potential

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Non-self-adjoint Schrödinger Operator with a Periodic Potential/ by Oktay Veliev.
Author:	Veliev, Oktay.
Description:	X, 294 p. 10 illus., 9 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematical physics. -
Online resource:	https://doi.org/10.1007/978-3-030-72683-6
ISBN:	9783030726836

Non-self-adjoint Schrödinger Operator with a Periodic Potential
Veliev, Oktay.

Non-self-adjoint Schrödinger Operator with a Periodic Potential[electronic resource] /by Oktay Veliev. - 1st ed. 2021. - X, 294 p. 10 illus., 9 illus. in color.online resource.

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

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.

ISBN: 9783030726836

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

527831
Mathematical physics.

LC Class. No.: QC19.2-20.85

Dewey Class. No.: 530.1

Non-self-adjoint Schrödinger Operator with a Periodic Potential
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505 0 $a 1. Spectral Theory for the Schrödinger Operator with a Complex-Valued Periodic Potential -- 2. On the Special Potentials -- 3. On the Matheiu-Schrödinger Operator -- 4. PT-Symmetric Periodic Optical Potential -- Index.
520 $a 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.
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