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Non-self-adjoint Schrödinger Operator with a Periodic Potential

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  • 304pages
  • 11 heures de lecture

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Focusing on the spectral analysis of non-self-adjoint Schrödinger operators, this book explores the spectrum and spectral singularities of periodic complex-valued potentials. It delves into the Mathieu-Schrödinger operator and the Schrödinger operator with parity-time (PT)-symmetric potentials, addressing the lack of a general spectral theorem for non-self-adjoint operators. With detailed proofs and a thorough approach, it serves as a valuable resource for graduate students in physics and mathematics, paving the way for advancements in non-Hermitian quantum mechanics and optics.

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Non-self-adjoint Schrödinger Operator with a Periodic Potential, Oktay Veliev

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Année de publication
2021
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Langue
Anglais
Format
rigide
Pages
304
ISBN13
9783030726829
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La nature
Description
Focusing on the spectral analysis of non-self-adjoint Schrödinger operators, this book explores the spectrum and spectral singularities of periodic complex-valued potentials. It delves into the Mathieu-Schrödinger operator and the Schrödinger operator with parity-time (PT)-symmetric potentials, addressing the lack of a general spectral theorem for non-self-adjoint operators. With detailed proofs and a thorough approach, it serves as a valuable resource for graduate students in physics and mathematics, paving the way for advancements in non-Hermitian quantum mechanics and optics.