Multidimensional Periodic Schrödinger Operator Perturbation Theory and Applications /

• Main Author: Veliev, Oktay (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 2nd ed. 2019.
• Subjects: Quantum physics.; Solid state physics.; Mathematical physics.; Quantum Physics.; Solid State Physics.; Mathematical Physics.

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 eigenval...

Table of Contents:

• Chapter 1 - Preliminary Facts
• Chapter 2- From One-dimensional to Multidimensional
• Chapter 3 - Asymptotic Formulas for the Bloch Eigenvalues and Bloch Functions.-Chapter 4 -Constructive Determination of the Spectral Invariants
• Chapter 5 - Periodic Potential from the Spectral Invariants
• Chapter 6 - Conclusions. .