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The time-dependent Schrödinger equation at turning points

✍ Scribed by A.D. Gorman

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
268 KB
Volume
10
Category
Article
ISSN
0893-9659

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✦ Synopsis

The Lagrange Manifold (WKB) formalism enables the determination of the asymptotic series solution of linear hyperbolic and parabolic differential equations at turning points. Here this formalism is applied to determine the asymptotic solution of the time-dependent SchrSdinger equation at turning points. We also use this approach to study some physical phenomenology associated with the time-dependent SchrSdinger equation at caustics, the locus of turning points.

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