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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
Semi-Classical Analysis for the Schrödinger Operator and Applications

Semi-Classical Analysis for the Schrödinger Operator and Applications

Helffer, Bernard

Paperback

CalculusGeneral MathematicsPhysics

ISBN10: 3540500766
ISBN13: 9783540500766
Publisher: Springer
Published: Jul 27 1988
Pages: 110
Weight: 0.39
Height: 0.25 Width: 6.14 Depth: 9.21
Language: English
This introduction to semi-classical analysis is an extension of a course given by the author at the University of Nankai. It presents for some of the standard cases presented in quantum mechanics books a rigorous study of the tunneling effect, as an introduction to recent research work. The book may be read by a graduate student familiar with the classic book of Reed-Simon, and for some chapters basic notions in differential geometry. The mathematician will find here a nice application of PDE techniques and the physicist will discover the precise link between approximate solutions (B.K.W. constructions) and exact eigenfunctions (in every dimension). An application to Witten's approach for the proof of the Morse inequalities is given, as are recent results for the Schrödinger operator with periodic potentials.

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