Skip to main content
SpringerLink
Log in

Perturbation Theory for the Schrödinger Operator with a Periodic Potential

  • Book
  • © 1997

Overview

Authors:
  1. Yulia E. Karpeshina
    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1663)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. Introduction

    • Yulia E. Karpeshina
    Pages 1-22

  3. Perturbation theory for a polyharmonic operator in the case of 2l>n

    • Yulia E. Karpeshina
    Pages 23-62

  4. Perturbation theory for the polyharmonic operator in the case 4l>n+1

    • Yulia E. Karpeshina
    Pages 63-97

  5. Perturbation theory for Schrödinger operator with a periodic potential

    • Yulia E. Karpeshina
    Pages 99-232

  6. The interaction of a free wave with a semi-bounded crystal

    • Yulia E. Karpeshina
    Pages 233-338

  7. Back Matter

    Pages 339-352
    Download chapter PDF
Back to top

Keywords

About this book

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.

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation