Exact Solutions for the Kemmer Oscillator in 1+1 Rindler Coordinates

TL;DR

This paper derives exact solutions for the Kemmer oscillator in 1+1 Rindler spacetime, revealing how uniform acceleration affects the energy spectrum and degeneracies of spin-1 particles, with implications for quantum field theory in curved spacetime.

Contribution

It introduces a novel exact solution framework for the Kemmer oscillator in accelerated frames, incorporating non-inertial effects and the Unruh temperature.

Findings

Acceleration modifies the characteristic length of the spectrum.

Discrete energy levels are shifted by acceleration.

Degeneracies are lifted due to acceleration effects.

Abstract

This work presents exact solutions of the Kemmer equation for spin-1 particles in $(1+1)$-dimensional Rindler spacetime, motivated by the need to understand vector bosons under uniform acceleration, including non-inertial effects and the Unruh temperature, which distinguish them from spin-0 and spin-1/2 systems. Starting from the free Kemmer field in an accelerated reference frame, we establish eigenvalue equations resembling those of the Klein--Gordon equation in Rindler coordinates. By introducing the Dirac oscillator interaction through a momentum substitution, we derive an exact closed-form spectrum for the Kemmer oscillator, revealing how the acceleration parameter modifies the characteristic length, shifts the discrete energy spectrum, and lifts degeneracies. In the Minkowski limit $a\to 0$, the standard Kemmer oscillator spectrum is recovered, ensuring consistency with flat-spacetime results. These findings provide a tractable framework for analyzing acceleration-induced effects, with implications for quantum field theory in curved spacetime, quantum gravity, and analogue gravity platforms.