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

Format:

Book

Author/Creator:

Veliev, Oktay.

Language:

English

Subjects (All):

Schrödinger operator.

Selfadjoint operators.

Genre:

Electronic books.

Physical Description:

1 online resource

Place of Publication:

Cham, Switzerland : Springer, 2021.

System Details:

text file

Summary:

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.

Contents:

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.

Notes:

Includes bibliographical references and index.

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

Other Format:

Print version:

ISBN:

9783030726836

3030726835

OCLC:

1257549990

Access Restriction:

Restricted for use by site license.