TE-TM Electromagnetic modes and states in quantum physics

TL;DR

This paper introduces a pedagogical approach to quantifying electromagnetic fields in finite spacetime using TE-TM modes, avoiding explicit photon notions and gauge dependence, to better understand phenomena like non-locality and wave packets.

Contribution

It develops a finite-spacetime eigenvalue framework for electromagnetic modes, providing new insights into quantum phenomena without relying on photon concepts or gauge assumptions.

Findings

Interpretation of Pauli principle in TE-TM states

Insights into non-locality in radiation fields

Modified De Broglie analysis in finite spacetime

Abstract

We propose, as another pedagogical approach, a quantification of the e.m. field better adapted in isolated systems, a quantification of e.m. fields in finite-spacetime which does not rely explicitly on the notion of photon, nor on the general application of gauge. Being based on the development of e.m. field in TE-TM modes and states, it obeys the limit conditions of a finite-spacetime which follows from the solution of an eigenvalue equation and allows to interpret more profoundly some phenomenons, notably: the equivalence of a Pauli principle in stationary TE-TM states, the notion of non-locality in a radiation field, a modified form of the De Broglie analysis and the notion of wave-paquets in finite-spacetime.