Trajectories of two identical particles on a plane in a constant magnetic field subject to non-Coulomb potentials

2018/01/19 by André Vallières, Vallières, André, Malik Amir +1
Physics and Astronomy · #Quantum and Classical Electrodynamics #Quantum chaos and dynamical systems #Experimental and Theoretical Physics Studies

paper · pdf · doi:10.48550/arxiv.1801.06276

Abstract

Study of the classical motion of two identical particles on a plane subject to non-Coulomb potentials in a constant magnetic field presented in polar coordinates. With the rigorous analysis of the potentials and the constants of motion, we are able to give necessary and sufficient conditions for the existence of bounded and periodic orbits. We also show and analyze numerical solutions of Newton equations of motion.

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