Some aspects about semiclassical electrodynamics and gauge transformations

TL;DR

This paper investigates how semiclassical electrodynamics behaves under gauge transformations, revealing that it is not gauge invariant and potentially affecting the predictability of physical outcomes.

Contribution

It provides a detailed analysis of gauge transformation effects on semiclassical electrodynamics, highlighting its non-invariance and implications for physical predictions.

Findings

Semiclassical electrodynamics is not gauge invariant.

Gauge transformations alter the structure of the Schrödinger equation.

Potential loss of predictability in physical results due to gauge dependence.

Abstract

We describe the behaviour of semiclassical electrodynamics under gauge transformations. For this purpose we observe the structure of Schr\"odinger equation and matricial elements under these transformations. We conclude this theory is not gauge invariant. As a consequence of this fact, we obtain a possible loss of predictability of physical results.