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arXiv · 2307.13741

Integrability meets the charged relativistic particle

Francisco Correa·Justo López-Sarrión
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Abstract

We notice an analogy between the motion of a relativistic particle with external homogeneous and time-dependent electromagnetic fields and the Dik'ii-Eilenberger equation for the Bogoliubov-de Gennes equation. By means of the integrable defocusing nonlinear Schr\"odinger hierarchy and their solitons appearing in the Gross-Neveu and Nambu-Jona-Lasinio models, we construct an infinite family of solutions of the Lorentz equation with non-vanishing curvature and torsion.

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Francisco Correa, Justo López-Sarrión. 2023-07-25. Integrability meets the charged relativistic particle. https://arxiv.org/abs/2307.13741

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