This book gives a complete spectral analysis of the non-self-adjoint Schr�dinger 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 Schr�dinger operator, the book features a complete spectral analysis of the Mathieu-Schr�dinger operator and the Schr�dinger operator with a parity-time (PT)-symmetric periodic optical potential. There currently exists no general spectral theorem ...
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This book gives a complete spectral analysis of the non-self-adjoint Schr�dinger 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 Schr�dinger operator, the book features a complete spectral analysis of the Mathieu-Schr�dinger operator and the Schr�dinger 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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Add this copy of Non-Self-Adjoint Schrödinger Operator with a Periodic to cart. $168.69, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2021 by Springer.