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Multidimensional Periodic Schrodinger Operator
Oktay Veliev
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Description for Multidimensional Periodic Schrodinger Operator
Paperback. Series: Springer Tracts in Modern Physics. Num Pages: 252 pages, biography. BIC Classification: PHQ; PHU; PNFS. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 13. Weight in Grams: 391.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Springer International Publishing AG Switzerland
Number of pages
252
Condition
New
Series
Springer Tracts in Modern Physics
Number of Pages
242
Place of Publication
Cham, Switzerland
ISBN
9783319386713
SKU
V9783319386713
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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