Particle Propagation on a Circle with a Point Interaction

Details Particle Propagation on a Circle with a Point Interaction Particle Propagation on a Circle with a Point Interaction

2009-02-05

arxiv.org/abs/0902.0855v1

J.Phys.A42:275301,2009

Physics

Quantum Physics

21 pages, 12 figures

Scientific paper

10.1088/1751-8113/42/27/275301

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.

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