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Non-self-adjoint Schroedinger Operator with a Periodic Potential

Bog
  • Format
  • Bog, paperback
  • Engelsk

Beskrivelse

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.

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Størrelse og vægt
  • Vægt468 g
  • Dybde1,6 cm
  • coffee cup img
    10 cm
    book img
    15,5 cm
    23,5 cm

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