Multidimensional Periodic Schrödinger Operator Perturbation Theory and Applications /

• Main Author: Veliev, Oktay (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Springer Tracts in Modern Physics, 263
• Subjects: Physics.; Mathematical physics.; Quantum physics.; Solid state physics.; Quantum Physics.; Solid State Physics.; Mathematical Physics.

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...

Table of Contents:

• Preface
• Asymptotic Formulas for the Bloch Eigenvalues and Bloch Functions
• Constructive Determination of the Spectral Invariants
• Periodic Potential from the Spectral Invariants
• Conclusions.