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Multidimensional Periodic Schrödinger Operator
Perturbation Theory and Applications
Autorzy
Parametry
- 340 stron
- 12 godzin czytania
Więcej o książce
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.
Wydanie
Zakup książki
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
- Autorzy
- Oktay Veliev
- Rok wydania
- 2020
- Oprawa
- miękka
- Liczba stron
- 340
- ISBN13
- 9783030245801
- Seria
- Tagi
- Przyroda, Nauki przyrodnicze, Podręczniki akademickie, Nauka, Podręczniki fizyki, Fizyka teoretyczna
- 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.