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

A. Amaya-Tapia·S. Y. Larsen·M. Lassaut
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Abstract

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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A. Amaya-Tapia, S. Y. Larsen, M. Lassaut. 2004-05-28. Second virial coefficient in one dimension, as a function of asymptotic quantities. https://doi.org/10.1080/00268970412331332943

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