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Non-self-adjoint Schrödinger Operator with a Periodic Potential

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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

Język
Rok wydania
2022
Oprawa
(miękka)
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Tytuł
Non-self-adjoint Schrödinger Operator with a Periodic Potential
Język
angielski
Rok wydania
2022
Oprawa
miękka
Liczba stron
304
ISBN13
9783030726850
Seria
Opis
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.