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Non-self-adjoint Schroedinger Operator with a Periodic Potential by Oktay Veliev (Hardcover, 2021)

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Non-Self-Adjoint Schrödinger Operator With a Periodic Potential by Oktay Veliev 9783030726829 (Hardback, 2021) Delivery UK delivery is usually within 10 to 12 working days. International delivery varies by country, please see the Wordery store help page for details.

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This book gives a complete spectral analysis of the non-self-adjoint Schroedinger 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 Schroedinger operator, the book features a complete spectral analysis of the Mathieu-Schroedinger operator and the Schroedinger 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.