English

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

Chemical Physics 2009-11-10 v1

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.

Keywords

Cite

@article{arxiv.physics/0405150,
  title  = {Second virial coefficient in one dimension, as a function of asymptotic quantities},
  author = {A. Amaya-Tapia and S. Y. Larsen and M. Lassaut},
  journal= {arXiv preprint arXiv:physics/0405150},
  year   = {2009}
}

Comments

7 pages, no figures, submitted to Molecular Physics

R2 v1 2026-07-22T18:59:33.433Z