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Multidimensional Periodic Schrödinger Operator

Perturbation Theory and Applications

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Focusing on the multidimensional Schrödinger operator with a periodic potential, this book delves into both direct and inverse problems essential for perturbation theory and spectral analysis. It offers thorough derivations of asymptotic formulas for Bloch eigenvalues and functions, while also addressing iso-energetic surfaces in high-energy contexts. A significant contribution is the validation of the Bethe-Sommerfeld conjecture across dimensions and lattices. The updated edition adds a chapter on lower-dimensional cases, enhancing the foundational understanding for subsequent higher-dimensional discussions.

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Multidimensional Periodic Schrödinger Operator, Oktay Veliev

Język
Rok wydania
2020
Oprawa
(miękka)
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Tytuł
Multidimensional Periodic Schrödinger Operator
Podtytuł
Perturbation Theory and Applications
Język
angielski
Rok wydania
2020
Oprawa
miękka
Liczba stron
340
ISBN13
9783030245801
Seria
Opis
Focusing on the multidimensional Schrödinger operator with a periodic potential, this book delves into both direct and inverse problems essential for perturbation theory and spectral analysis. It offers thorough derivations of asymptotic formulas for Bloch eigenvalues and functions, while also addressing iso-energetic surfaces in high-energy contexts. A significant contribution is the validation of the Bethe-Sommerfeld conjecture across dimensions and lattices. The updated edition adds a chapter on lower-dimensional cases, enhancing the foundational understanding for subsequent higher-dimensional discussions.