Non-self-adjoint Schrödinger Operator with a Periodic Potential
Produktnummer:
18952ee76778fd4008b0f476fa106fe4d4
| Autor: | Veliev, Oktay |
|---|---|
| Themengebiete: | Matheiu-Schrödinger Operator Mathieu-Hill Operator Non-self-adjoint Operators PT-symmetric Potentials Periodic Differential Operators Periodic Optical Potential Schrödinger Operators Spectral Analysis of the Schrödinger Operator Spectral Expansion of the Hill Operator |
| Veröffentlichungsdatum: | 21.06.2022 |
| EAN: | 9783030726850 |
| Sprache: | Englisch |
| Seitenzahl: | 294 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
Produktinformationen "Non-self-adjoint Schrödinger Operator with a Periodic Potential"
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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