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Open Quantum Systems Decoherence Quantum Simulation

Causality and dimensionality in geometric scattering

arXiv
Authors: Silas R. Beane, Roland C. Farrell

Year

2021

Paper ID

40956

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

Abstract

The scattering matrix which describes low-energy, non-relativistic scattering of spin-1/2 fermions interacting via finite-range potentials can be obtained from a geometric action principle in which space and time do not appear explicitly arXiv:2011.01278. In the case of zero-range forces, causality leads to constraints on scattering trajectories in the geometric picture. The effect of spatial dimensionality is also investigated by considering scattering in two and three dimensions. In the geometric formulation it is found that dimensionality is encoded in the phase of the harmonic potential that appears in the geometric action.

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  • The scattering matrix which describes low-energy, non-relativistic scattering of spin-1/2 fermions interacting via finite-range potentials can be obtained from a geometric...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2112.02733 [2] arXiv https://arxiv.org/abs/2112.02733 [3] Publisher https://arxiv.org/abs/2112.02733

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