Non-Self-Adjoint Schrödinger Operator with a Periodic Potential

By Oktay Veliev

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 3030726851
• ISBN13: 9783030726850
• Release Date: June 2022
• Publisher: Springer
• Length: 294 Pages
• Weight: 0.95 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"