Perturbation Theory for the Schrödinger Operator with a Periodic Potential PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Perturbation Theory for the Schrödinger Operator with a Periodic Potential PDF full book. Access full book title Perturbation Theory for the Schrödinger Operator with a Periodic Potential by Yulia E. Karpeshina. Download full books in PDF and EPUB format.

Perturbation Theory for the Schrödinger Operator with a Periodic Potential

Perturbation Theory for the Schrödinger Operator with a Periodic Potential PDF Author: Yulia E. Karpeshina
Publisher: Springer
ISBN: 3540691561
Category : Mathematics
Languages : en
Pages : 358

Get Book Here

Book Description
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 difficulties have a physical nature - a complicated picture of diffraction inside the crystal. The author develops a new mathematical approach to this problem. It provides mathematical physicists with important results for this operator and a new technique that can be effective for other problems. The semiperiodic Schrödinger operator, describing a crystal with a surface, is studied. Solid-body theory specialists can find asymptotic formulae, which are necessary for calculating many physical values.