Proca equation for laser pulses interaction with matter

TL;DR

This paper models the interaction of ultrashort laser pulses with matter using the Proca equation, revealing that heat transport under certain conditions behaves as a distortionless damped wave, advancing understanding of quantum heat dynamics.

Contribution

It introduces the Proca equation as a model for thermal heat transport in laser-matter interactions, linking quantum heat transport to relativistic wave equations.

Findings

Heat transport described by the Proca equation.

Under specific conditions, solutions are distortionless damped waves.

Provides a new framework for quantum heat transport modeling.

Abstract

In this paper the interaction of ultrashort laser pulses with matter is investigated. The scattering and potential motion of heat carriers, as well as the external force are considered. It is shown that the heat transport is described by the Proca equation. For thermal Heisenberg type relation V\tau ~ \hbar, (\tau is the relaxation time and V is the potential) the solution of the Proca equation (PR) are the distortionless damped wave equation. Key words: Ultrashort laser pulses; Quantum heat transport equation; Proca thermal equation.