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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Perturbation Theory for the Schrödinger Operator with a Periodic Potential

Perturbation Theory for the Schrödinger Operator with a Periodic Potential

Karpeshina, Yulia E.

Paperback

Series: Lecture Notes in Mathematics, Book 1663

CalculusGeneral MathematicsPhysics

ISBN10: 3540631364
ISBN13: 9783540631361
Publisher: Springer Nature
Published: Aug 19 1997
Pages: 356
Weight: 1.12
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
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.

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