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Könyv Quasiclassical Methods Jeffrey Rauch

Quasiclassical Methods

Szerző: Jeffrey Rauch, Barry Simon
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer-Verlag New York Inc.
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
38 497 Ft
This IMA Volume in Mathematics and its Applications QUASICLASSICAL METHODS is based on the proceedin...

Információk a könyvről

Szerző
Jeffrey Rauch, Barry Simon
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2012
oldal
230
EAN
9781461273493
ISBN
1461273498
Enbook ID
06795194
Kiadó
Springer-Verlag New York Inc.
Súly
379
Méretek
155 x 235 x 14

Teljes leírás

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.

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