Dynamics and symmetries of a field partitioned by an accelerated frame

TL;DR

This paper analyzes the dynamics and symmetries of a Klein-Gordon system partitioned by an accelerated frame, revealing how the system's generators can be nearly diagonalized using Minkowski Bessel modes.

Contribution

It demonstrates how to express the canonical evolution and symmetry generators for a Klein-Gordon system in an accelerated frame using Minkowski Bessel modes, enabling near complete diagonalization.

Findings

Canonical generators are expressed in terms of Minkowski Bessel modes.

Eigenfunction property of M-B modes facilitates the partitioning.

Near complete diagonalization of generators achieved.

Abstract

The canonical evolution and symmetry generators are exhibited for a Klein-Gordon (K-G) system which has been partitioned by an accelerated coordinate frame into a pair of subsystems. This partitioning of the K-G system is conveyed to the canonical generators by the eigenfunction property of the Minkowski Bessel (M-B) modes. In terms of the M-B degrees of freedom, which are unitarily related to those of the Minkowski plane waves, a near complete diagonalization of these generators can be realized.