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Perturbation Theory for the Schrödinger Operator with a Periodic Potential

✍ Scribed by Yulia E. Karpeshina (auth.)

Book ID
127431933
Publisher
Springer
Year
1997
Tongue
English
Weight
2 MB
Edition
1
Category
Library
ISBN
3540691561

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✦ 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.

✦ Subjects

Mathematical and Computational Physics

📜 SIMILAR VOLUMES

Perturbation Theory for the Schrödinger
Perturbation Theory for the Schrödinger Operator with a Periodic Potential
✍ Yulia E. Karpeshina (auth.) 📂 Library 📅 1997 🏛 Springer 🌐 English ⚖ 2 MB

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 diffi