Second virial coefficient in one dimension, as a function of asymptotic quantities

Details Second virial coefficient in one dimension, as a function of asymptotic quantities Second virial coefficient in one dimension, as a function of asymptotic quantities

2004-05-28

arxiv.org/abs/physics/0405150v1

Physics

Chemical Physics

7 pages, no figures, submitted to Molecular Physics

Scientific paper

10.1080/00268970412331332943

A result from Dodd and Gibbs[1] for the second virial coefficient of particles in 1 dimension, subject to delta-function interactions, has been obtained by direct integration of the wave functions. It is shown that this result can be obtained from a phase shift formalism, if one includes the contribution of oscillating terms. The result is important in work to follow, for the third virial coefficient, for which a similar formalism is being developed. We examine a number of fine points in the quantum mechanical formalisms.

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