Particle Propagation on a Circle with a Point Interaction
Quantum Physics
2009-06-19 v1 High Energy Physics - Theory
Abstract
We study a particle propagation on a circle in the presence of a point interaction. We show that the one-particle Feynman kernel can be written into the sum of reflected and transmitted trajectories which are weighted by the elements of the n-th power of the scattering matrix evaluated on a line with a point interaction. As a by-product we find three-parameter family of trace formulae as a generalization of the Poisson summation formula.
Cite
@article{arxiv.0902.0855,
title = {Particle Propagation on a Circle with a Point Interaction},
author = {Satoshi Ohya and Makoto Sakamoto},
journal= {arXiv preprint arXiv:0902.0855},
year = {2009}
}
Comments
21 pages, 12 figures