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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
- Language
- Released
- 2021
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- (Hardcover)
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- Language
- English
- Authors
- Oktay Veliev
- Publisher
- Springer International Publishing
- Released
- 2021
- Format
- Hardcover
- Pages
- 304
- ISBN13
- 9783030726829
- Series
- Tags
- 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.