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arXiv · 1706.05318

Quantum Scattering on a Cone revisited

V. S. Barroso·J. P. M. Pitelli
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Abstract

We revisit the scattering of quantum test particles on the conical $(2+1)$-dimensional spacetime and find the scatteting amplitude as a function of the boundary conditions imposed at the appex of the cone. We show that the boundary condition is responsible for a purely analytical term in the scattering amplitude, in addition to those coming from purely topological effects. Since it is possible to have non-equivalent physical evolutions for the wave packet (each one corresponding to a different boundary condition), it seems crucial to have an observable quantity specifying which evolution has been prescribed.

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V. S. Barroso, J. P. M. Pitelli. 2017-06-16. Quantum Scattering on a Cone revisited. https://doi.org/10.1103/physrevd.96.025006

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