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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
- Idioma
- Publicado en
- 2022
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- Idioma
- Inglés
- Autores
- Oktay Veliev
- Editorial
- Springer International Publishing
- Publicado en
- 2022
- Formato
- Tapa blanda
- Páginas
- 304
- ISBN13
- 9783030726850
- Serie
- Etiquetas
- Naturaleza
- Descripción
- 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.