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Book synopsis

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.

Book details

Book category Books in English Technology, engineering, agriculture Technology: general issues Maths for engineers

• Full title: Perturbation Theory for the Schrödinger Operator with a Periodic Potential
• Author: Yulia E. Karpeshina
• Language: English
• Binding: Paperback
• Number of pages: 356
• EAN: 9783540631361
• ISBN: 3540631364
• ID: 01566392
• Publisher: Springer, Berlin
• Weight: 540 g
• Dimensions: 234 × 156 × 19 mm
• Published: 1997

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