Multidimensional periodic Schrödinger operator : perturbation theory and applications /

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...

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Bibliographic Details
Main Author:	Veliev, Oktay (Author)
Format:	Book
Language:	English
Published:	Cham [Switzerland] ; New York : Springer, [2015]
Series:	Springer tracts in modern physics ; 263.
Subjects:	Schrödinger operator. Perturbation (Mathematics) Spectral theory (Mathematics) Inverse problems (Differential equations) Bloch constant.

Table of Contents:

Preliminary facts
Asymptotic Formulas for the Bloch eigenvalues and Bloch functions
Constructive determination of the spectral invariants
Periodic potential from the spectral invariants
Conclusions.