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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.
Autorius: | Oktay Veliev |
Leidėjas: | Springer Nature Switzerland |
Išleidimo metai: | 2022 |
Knygos puslapių skaičius: | 304 |
ISBN-10: | 3030726851 |
ISBN-13: | 9783030726850 |
Formatas: | 235 x 155 x 17 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Non-self-adjoint Schrödinger Operator with a Periodic Potential“