Items related to Multidimensional Periodic Schrödinger Operator: Perturbation...
Multidimensional Periodic Schrödinger Operator: Perturbation Theory and Applications (Springer Tracts in Modern Physics) - Hardcover
Synopsis
The book describes the direct problems and the inverse problem of the multidimensional Schrödinger operator with a periodic potential. This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. The unique method of this book derives the asymptotic formulas for Bloch eigenvalues and Bloch functions for arbitrary dimension. Moreover, the measure of the iso-energetic surfaces in the high energy region is construct and estimated. It implies the validity of the Bethe-Sommerfeld conjecture for arbitrary dimensions and arbitrary lattices. Using the perturbation theory constructed in this book, the spectral invariants of the multidimensional operator from the given Bloch eigenvalues are determined. Some of these invariants are explicitly expressed by the Fourier coefficients of the potential. This way the possibility to determine the potential constructively by using Bloch eigenvalues as input data is given. In the end an algorithm for the unique determination of the potential is given.
"synopsis" may belong to another edition of this title.
From the Back Cover
The book describes the direct problems and the inverse problem of the multidimensional Schrödinger operator with a periodic potential. This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. The unique method of this book derives the asymptotic formulas for Bloch eigenvalues and Bloch functions for arbitrary dimension. Moreover, the measure of the iso-energetic surfaces in the high energy region is construct and estimated. It implies the validity of the Bethe-Sommerfeld conjecture for arbitrary dimensions and arbitrary lattices. Using the perturbation theory constructed in this book, the spectral invariants of the multidimensional operator from the given Bloch eigenvalues are determined. Some of these invariants are explicitly expressed by the Fourier coefficients of the potential. This way the possibility to determine the potential constructively by using Bloch eigenvalues as input data is given. In the end an algorithm for the unique determination of the potential is given.
"About this title" may belong to another edition of this title.
Search results for Multidimensional Periodic Schrödinger Operator: Perturbation...
Seller Image
Multidimensional Periodic Schrödinger Operator: Perturbation Theory and Applications.
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Hardcover. 338 S. Ex-library with stamp and library-signature in good condition, some traces of use. C-02686 9783319166421 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2488562
Quantity: 1 available
Stock Image
Multidimensional Periodic Schrödinger Operator: Perturbation Theory and Applications (Springer Tracts in Modern Physics)
Seller: Singing Saw Books, Portland, OR, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: New. New. Seller Inventory # 131130995
Quantity: 1 available
Stock Image
Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications
Seller: Buchpark, Trebbin, Germany
Seller rating 5 out of 5 stars
Condition: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 25356468/12
Quantity: 1 available