Accelerated Quantum Dynamics

TL;DR

This paper develops a formalism to compute observable effects of acceleration-induced particle processes, including transition rates and spectra, revealing how acceleration influences particle emissions and their energy distributions.

Contribution

It introduces a comprehensive formalism for calculating observables in acceleration-induced particle physics, incorporating time-dependent acceleration and arbitrary particle final states.

Findings

Transition rates depend on acceleration and particle multiplicity.

Spectra follow a displacement law proportional to acceleration-induced temperature.

Polynomials characterize the spectra and multiplicities for bosons and fermions.

Abstract

In this paper we establish a formalism for the computation of observables due to acceleration-induced particle physics processes. General expressions for the transition rate, multiplicity, power, spectra, and displacement law of particles undergoing time-dependent acceleration and transitioning into a final state of arbitrary particle number are obtained. The transition rate, power, and spectra are characterized by unique polynomials of multiplicity and thermal distributions of both bosonic and fermionic statistics. The acceleration-dependent multiplicities are computed in terms of the branching fractions of the associated inertial processes. The displacement law of the spectra predicts that the energy of the emitted particles is directly proportional to the accelerated temperature.