A New Approach to Canonical Quantization of the Radiation Damping
Abstract
Inspired in some works about quantization of dissipative systems, in particular of the damped harmonic oscillatorMB,RB,12, we consider the dissipative system of a charge interacting with its own radiation, which originates the radiation damping (RD). Using the indirect Lagrangian representation we obtained a Lagrangian formalism with a Chern-Simons-like term. A Hamiltonian analysis is also done, what leads to the quantization of the system.
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