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Perturbation Theory for the Schrodinger Operator with a Periodic Potential : Lecture Notes in Computer Science - Yulia Karpeshina

Perturbation Theory for the Schrodinger Operator with a Periodic Potential

Lecture Notes in Computer Science

Paperback

Published: 19th August 1997
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The book is devoted to perturbation theory for the Schroedinger 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 Schroedinger 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.

Introductionp. 1
Perturbation Theory for a Polyharmonic Operator in the Case of 2l ] np. 23
Perturbation Theory for the Polyharmonic Operator in the Case 4l ] n + 1p. 63
Perturbation Theory for Schrodinger Operator with a Periodic Potentialp. 99
The Interaction of a Free Wave with a Semi-bounded Crystalp. 233
Referencesp. 339
Indexp. 351
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540631361
ISBN-10: 3540631364
Series: Lecture Notes in Computer Science
Audience: General
Format: Paperback
Language: English
Number Of Pages: 356
Published: 19th August 1997
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.91
Weight (kg): 0.51