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Phys. Rev. A 34, 4486–4489 (1986)

Global, uniform semiclassical approximations for quantum systems on the half-line

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John R. Klauder
AT & T Bell Laboratories, Murray Hill, New Jersey 07974

Received 11 August 1986; published in the issue dated November 1986

Motivated by recent experiments on highly excited Rydberg atoms in electrically polarized states, we consider the semiclassical analysis of quantum systems defined on the interval 0<x<. Caustics plague the conventional approach, and Maslov's technique cannot be used. Instead we introduce an affine phase-space formulation that leads to a global, uniform semiclassical approximation to the wave function which fully captures the effects of caustics.

© 1986 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.34.4486
DOI:
10.1103/PhysRevA.34.4486
PACS: