Semiclassical strong-coupling parabolic connection formulae
- 1 December 1976
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 9 (17) , L513-L517
- https://doi.org/10.1088/0022-3700/9/17/001
Abstract
The semiclassical connection formulae derived by Connor (1973) for the one-dimensional Schrodinger equation with parabolic barrier, may be derived under less restrictive conditions. Quantities of order mu 12//h(cross) are treated on an equal footing, where mu is the reduced mass. The strong-coupling asymptotic expansions of the parabolic cylinder functions, derived by Crothers (1972), are used to analyse the comparison equation of Miller and Good (1953). Their domain of definition is extended beyond that of Olver (1959) by a suitable physical choice of branch cut.Keywords
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