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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
Spectral Asymptotics in the Semi-Classical Limit

Spectral Asymptotics in the Semi-Classical Limit

Dimassi, M.
Dimassi, Mouez
Sjostrand, J.

Paperback

Series: London Mathematical Society Lecture Note, Book 268

Medical ReferencePhysicsProbability & Statistics

ISBN10: 0521665442
ISBN13: 9780521665445
Publisher: Cambridge University Press
Published: Sep 16 1999
Pages: 240
Weight: 0.71
Height: 0.52 Width: 6.06 Depth: 9.03
Language: English
Semiclassical approximation addresses the important relationship between quantum and classical mechanics. In recent years mathematical theory has undergone significant growth, mainly due to microlocal analysis techniques. This volume develops the basic methods of the theory, including the WKB-method, stationary phase and h-pseudodifferential operators. The authors employ the systematic use of a Cauchy formula that simplifies the functional calculus of pseudodifferential operators. The applications described include recent results on the tunnel effect, the asymptotics of eigenvalues in relation to classical trajectories and normal forms, plus slow perturbations of periodic Schrödinger operators appearing in solid state physics. The text assumes no previous specialized knowledge in quantum mechanics or microlocal analysis, and only general knowledge of spectral theory in Hilbert space, distributions, Fourier transforms and some differential geometry.

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