Photon emission in a constant magnetic field in 2+1 dimensional space-time
J. T. S. Amaral (1), S. I. Zlatev (2) ((1) Universidade Federal do Rio, Grande do Sul (2) Universidade Federal de Sergipe)
TL;DR
This paper calculates the two-photon emission amplitude of a charged fermion in a constant magnetic field within 2+1 dimensions, revealing a supersymmetric quantum-mechanical structure underlying the dynamics.
Contribution
It introduces a proper-time calculation of photon emission in 2+1 dimensions and uncovers supersymmetry in the quantum dynamics.
Findings
Derived the emission amplitude using proper-time method
Identified supersymmetric structure in the quantum system
Provides insights into photon emission processes in lower-dimensional space-time
Abstract
We calculate by the proper-time method the amplitude of the two-photon emission by a charged fermion in a constant magnetic field in (2+1)-dimensional space-time. The relevant dynamics reduces to that of a supesymmetric quantum-mechanical system with one bosonic and one fermionic degrees of freedom.
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