Multidimensional Periodic Schrödinger Operator (eBook, PDF)
Oktay Veliev
eBook, PDF

Multidimensional Periodic Schrödinger Operator (eBook, PDF)

Perturbation Theory and Applications

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This book describes the direct and inverse problems of the multidimensional Schrödinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues. It provides a detailed derivation of the asymptotic formulas for Bloch eigenvalues and Bloch functions in arbitrary dimensions while constructing and estimating the measure of the iso-energetic surfaces in the high-energy regime. Moreover, it presents a unique method proving the validity of the...

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