| 书目名称 | Non-self-adjoint Schrödinger Operator with a Periodic Potential |
| 编辑 | Oktay Veliev |
| 视频video | |
| 概述 | Solves the problem of the non-self-adjoint Schrödinger operator with periodic potential complete with construction of the spectral expansion.Presents the complete spectral theory of the non-self-adjoi |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2021 |
| 关键词 | Non-self-adjoint Operators; Schrödinger Operators; Periodic Differential Operators; PT-symmetric Potent |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-72683-6 |
| isbn_softcover | 978-3-030-72685-0 |
| isbn_ebook | 978-3-030-72683-6 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 18:30:37
