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Non-self-adjoint Schrodinger Operator with a Periodic Potential, Paperback / softback Book

Non-self-adjoint Schrodinger Operator with a Periodic Potential Paperback / softback

Paperback / softback

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Description

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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£119.99

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