Globally uniform semiclassical expressions for time-independent wave functions

Dafna Zor, Kenneth G. Kay

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

Abstract

A semiclassical approximation is presented which describes the time-independent wave function as an integral over the Lagrangian manifold associated with the state. The function produced is free of caustic singularities and satisfies the Schrödinger equation with an error that vanishes everywhere uniformly in the classical limit. Illustrative calculations are presented for one-dimensional systems.

Original languageEnglish
Pages (from-to)1990-1993
Number of pages4
JournalPhysical Review Letters
Volume76
Issue number12
DOIs
StatePublished - 18 Mar 1996

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