Non-self-adjoint Schrödinger Operator with a Periodic Potential (PDF)
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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.
- Autor: Oktay Veliev
- 2021, 1st ed. 2021, 294 Seiten, Englisch
- Verlag: Springer International Publishing
- ISBN-10: 3030726835
- ISBN-13: 9783030726836
- Erscheinungsdatum: 19.06.2021
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- Größe: 5.46 MB
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