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Multidimensional Periodic Schrödinger Operator: Perturbation Theory and Applications: 263 (Springer Tracts in Modern Physics) - Tapa blanda
Sinopsis
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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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 Schroedinger Operator
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Springer International Publishing, 2016
ISBN 10: 3319386719
ISBN 13: 9783319386713
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Librería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: 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. Nº de ref. del artículo: 385704476
Cantidad disponible: Más de 20 disponibles
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Multidimensional Periodic Schrödinger Operator
Publicado por
Springer International Publishing Okt 2016, 2016
ISBN 10: 3319386719
ISBN 13: 9783319386713
Nuevo
Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783319386713
Cantidad disponible: 2 disponibles
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Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications
Publicado por
Springer International Publishing, 2016
ISBN 10: 3319386719
ISBN 13: 9783319386713
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783319386713
Cantidad disponible: 1 disponibles
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Multidimensional Periodic Schrödinger Operator: Perturbation Theory and Applications (Springer Tracts in Modern Physics, 263)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. In. Nº de ref. del artículo: ria9783319386713_new
Cantidad disponible: Más de 20 disponibles
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Multidimensional Periodic Schrödinger Operator
Publicado por
Springer International Publishing, Springer International Publishing Okt 2016, 2016
ISBN 10: 3319386719
ISBN 13: 9783319386713
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783319386713
Cantidad disponible: 2 disponibles
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Multidimensional Periodic Schrödinger Operator: Perturbation Theory and Applications (Springer Tracts in Modern Physics, 263)
Librería: Lucky's Textbooks, Dallas, TX, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: ABLIING23Mar3113020096711
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Multidimensional Periodic Schrödinger Operator: Perturbation Theory and Applications
Librería: Revaluation Books, Exeter, Reino Unido
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Paperback. Condición: Brand New. reprint edition. 252 pages. 9.25x6.10x0.57 inches. In Stock. Nº de ref. del artículo: x-3319386719
Cantidad disponible: 2 disponibles
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Multidimensional Periodic Schr?dinger Operator: Perturbation Theory and Applications (Springer Tracts in Modern Physics)
Librería: Books Puddle, New York, NY, Estados Unidos de America
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Condición: New. pp. 242. Nº de ref. del artículo: 26375297261
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Multidimensional Periodic Schr?dinger Operator: Perturbation Theory and Applications (Springer Tracts in Modern Physics)
Impresión bajo demandaLibrería: Majestic Books, Hounslow, Reino Unido
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Condición: New. Print on Demand pp. 242. Nº de ref. del artículo: 371796786
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Multidimensional Periodic Schr?dinger Operator: Perturbation Theory and Applications (Springer Tracts in Modern Physics)
Impresión bajo demandaLibrería: Biblios, Frankfurt am main, HESSE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: New. PRINT ON DEMAND pp. 242. Nº de ref. del artículo: 18375297255
Cantidad disponible: 4 disponibles