Stochastic Methods in Atomic Systems and QED

TL;DR

This paper introduces stochastic physics techniques to analyze atomic systems and QED phenomena, demonstrating their effectiveness in addressing complex problems like temperature effects on spectral lines and runaway solutions.

Contribution

It applies stochastic methods to quantum electrodynamics, providing new insights into atomic spectral behavior and radiation damping effects.

Findings

Temperature influences atomic spectral lines.

Stochastic methods resolve runaway solutions.

Quantum effects modify thermodynamic laws.

Abstract

We show that treating the blackbody radiation field as a heat bath enables one to utilize powerful techniques from the realm of stochastic physics (such as the fluctuation-dissipation theorem and the related radiation damping) in order to treat problems that could not be treated rigorously by conventional methods. We illustrate our remarks by discussing specifically the effect of temperature on atomic spectral lines, and the solution to the problem of runaway solutions in the equation of motion of a radiating electron. We also present brief discussions relating to anomalous diffusion and wave packet spreading in a radiation field and the influence of quantum effects on the laws of thermodynamics.