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Multidimensional Periodic Schrödinger Operator: Perturbation Theory and Applications: 263 (Springer Tracts in Modern Physics, 263) - Softcover
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.
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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.
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Multidimensional Periodic Schrödinger Operator: Perturbation Theory and Applications (Springer Tracts in Modern Physics, 263)
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Multidimensional Periodic Schroedinger Operator
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents an introduction to the theoretical base for solving the inverse problems of the multidimensional Schroedinger operatorOpens new horizons for spectral analysis of quantum mechanical operatorsCovers the constructive determination of s. Seller Inventory # 385704476
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Multidimensional Periodic Schrödinger Operator
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 252 pp. Englisch. Seller Inventory # 9783319386713
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Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications
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Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications
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Springer International Publishing, 2016
ISBN 10: 3319386719
ISBN 13: 9783319386713
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783319386713
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Multidimensional Periodic Schrödinger Operator
ISBN 10: 3319386719
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Taschenbuch. Condition: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 252 pp. Englisch. Seller Inventory # 9783319386713
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Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications
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Multidimensional Periodic Schrodinger Operator
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ISBN 10: 3319386719
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Condition: New. 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. . 2016. Softcover reprint of the original 1st ed. 2015. Paperback. . . . . Seller Inventory # V9783319386713
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Multidimensional Periodic Schrödinger Operator: Perturbation Theory and Applications
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Paperback. Condition: Brand New. reprint edition. 252 pages. 9.25x6.10x0.57 inches. In Stock. Seller Inventory # x-3319386719
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Multidimensional Periodic Schrödinger Operator: Perturbation Theory and Applications (Springer Tracts in Modern Physics, 263)
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