A Quantum Fluid Description of the Free Electron Laser

TL;DR

This paper models the quantum Free Electron Laser as a quantum fluid using the Madelung transformation, incorporating classical and quantum potentials to describe electron beam dynamics.

Contribution

It introduces a quantum fluid framework for the QFEL, explicitly deriving the classical limit and highlighting quantum effects on the beam behavior.

Findings

Quantum potential modifies electron beam dynamics.

Classical limit recovered when quantum effects are negligible.

Framework bridges classical and quantum descriptions of QFEL.

Abstract

Using the Madelung transformation we show that in a quantum Free Electron Laser (QFEL) the beam obeys the equations of a quantum fluid in which the potential is the classical potential plus a quantum potential. The classical limit is shown explicitly.