Perturbation Theory for the Schrödinger Operator with a Periodic Potential

• Main Author: Karpeshina, Yulia E. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1663
• Subjects: Partial differential equations.; Mathematical physics.; Partial Differential Equations.; Theoretical, Mathematical and Computational Physics.

The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, describing motion of a particle in bulk matter. The Bloch eigenvalues of the operator are densely situated in a high energy region, so regular perturbation theory is ineffective. The mathematical diff...

Table of Contents:

• Perturbation theory for a polyharmonic operator in the case of 2l>n
• Perturbation theory for the polyharmonic operator in the case 4l>n+1
• Perturbation theory for Schrödinger operator with a periodic potential
• The interaction of a free wave with a semi-bounded crystal.