bokomslag Non-self-adjoint Schrdinger Operator with a Periodic Potential
Vetenskap & teknik

Non-self-adjoint Schrdinger Operator with a Periodic Potential

Oktay Veliev

Inbunden

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  • 294 sidor
  • 2021
This book gives a complete spectral analysis of the non-self-adjoint Schrdinger 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 Schrdinger operator, the book features a complete spectral analysis of the Mathieu-Schrdinger operator and the Schrdinger 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.
  • Författare: Oktay Veliev
  • Format: Inbunden
  • ISBN: 9783030726829
  • Språk: Engelska
  • Antal sidor: 294
  • Utgivningsdatum: 2021-06-20
  • Förlag: Springer Nature Switzerland AG