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Focusing on the spectral analysis of non-self-adjoint Schrödinger operators, this book explores complex-valued periodic potentials and spectral singularities. It includes a thorough examination of the Mathieu-Schrödinger operator and the Schrödinger operator with parity-time (PT)-symmetric periodic optical potential. By addressing the lack of a general spectral theorem for non-self-adjoint operators, the work presents innovative approaches that enhance understanding in non-Hermitian quantum mechanics and optics, making it ideal for graduate students in physics and mathematics.
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Non-self-adjoint Schrödinger Operator with a Periodic Potential, Oktay Veliev
- Language
- Released
- 2022
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- (Paperback)
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- Title
- Non-self-adjoint Schrödinger Operator with a Periodic Potential
- Language
- English
- Authors
- Oktay Veliev
- Publisher
- Springer International Publishing
- Released
- 2022
- Format
- Paperback
- Pages
- 304
- ISBN13
- 9783030726850
- Category
- Nature in general
- Description
- Focusing on the spectral analysis of non-self-adjoint Schrödinger operators, this book explores complex-valued periodic potentials and spectral singularities. It includes a thorough examination of the Mathieu-Schrödinger operator and the Schrödinger operator with parity-time (PT)-symmetric periodic optical potential. By addressing the lack of a general spectral theorem for non-self-adjoint operators, the work presents innovative approaches that enhance understanding in non-Hermitian quantum mechanics and optics, making it ideal for graduate students in physics and mathematics.