Satoshi Ohya and Makoto Sakamoto 2009 J. Phys. A: Math. Theor. 42 275301 doi:10.1088/1751-8113/42/27/275301
Particle propagation on a circle with a point interaction
Satoshi Ohya1 and Makoto Sakamoto2
Show affiliationsWe 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 as the sum of reflected and transmitted trajectories which are weighted by the elements of the nth power of the scattering matrix evaluated on a line with a point interaction. As a by-product, we find a three-parameter family of trace formulae as a generalization of the Poisson summation formula.
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Issue 27 (10 July 2009)
Received 6 February 2009, in final form 5 May 2009
Published 11 June 2009
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Particle propagation on a circle with a point interaction
Satoshi Ohya and Makoto Sakamoto 2009 J. Phys. A: Math. Theor. 42 275301
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