Author： Connor J.N.L.
Publisher： Taylor & Francis Ltd
ISSN： 1362-3028
Source： Molecular Physics, Vol.25, Iss.1, 1973-01, pp. : 181-191
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Abstract
The asymptotic evaluation of multidimensional integrals for the S matrix in the semiclassical theory of inelastic and reactive molecular collisions is considered. The n -dimensional integral is assumed to possess two saddle points, whose position depends on a parameter and which may coalesce for a certain value of the parameter. A uniform asymptotic approximation is obtained by evaluating n -1 of the integrals by the ordinary non-uniform method of Chester et al. The resulting uniform asymptotic formulae are generalizations of the results for one dimensional integrals given in a previous paper.
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