Classicalization of Quantum Mechanics: Classical Radiation Damping Without the Runaway Solution

Abstract

In this paper, we review a new treatment of classical radiation damping, which resolves a known contradiction in the Abraham–Lorentz equation that has long been a concern. This radiation damping problem has already been solved in quantum mechanics by the method introduced by Friedrichs. Based on Friedrichs’ treatment, we solved this long-standing problem by classicalizing quantum mechanics by replacing the canonical commutation relation from quantum mechanics with the Poisson bracket relation in classical mechanics.

Keywords

• classical radiation damping
• resonance singularity
• non-Hilbert space
• the Abraham–Lorentz equation
• classicalization of quantum mechanics
• cyclotron motion