Quasiclassical Methods

Language: English

Published by Springer, Springer Okt 2012, 2012

1461273498 / 9781461273493

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This item is printed on demand - Print on Demand Titel. Neuware -This IMA Volume in Mathematics and its Applications QUASICLASSICAL METHODS is based on the proceedings of a very successful one-week workshop with the same title, which was an integral part of the 1994-1995 IMA program on 'Waves and Scattering.' We would like to thank Jeffrey Rauch and Barry Simon for their excellent work as organizers of the meeting. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE There are a large number of problems where qualitative features of a partial differential equation in an appropriate regime are determined by the behavior of an associated ordinary differential equation. The example which gives the area its name is the limit of quantum mechanical Hamil tonians (Schrodinger operators) as Planck's constant h goes to zero, which is determined by the corresponding classical mechanical system. A sec ond example is linear wave equations with highly oscillatory initial data. The solutions are described by geometric optics whose centerpiece are rays which are solutions of ordinary differential equations analogous to the clas sical mechanics equations in the example above. Much recent work has concerned with understanding terms beyond the leading term determined by the quasi classical limit. Two examples of this involve Weyl asymptotics and the large-Z limit of atomic Hamiltonians, both areas of current research.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 244 pp. Englisch.

Seller Inventory # 9781461273493

Title
Quasiclassical Methods
Author
Jeffrey Rauch
Publisher
Springer, Springer Okt 2012
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461273498
ISBN 13
9781461273493
Item weight
376 grams
Dimensions
235x155x14 mm

buchversandmimpf2000

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