On a Probabilistic Interpretation of Relativistic Quantum Mechanics

TL;DR

This paper proposes a probabilistic interpretation for one-particle relativistic quantum mechanics, using the Quantum Action Principle to connect classical and quantum dynamics, and derives a relativistic hydrogen atom spectrum.

Contribution

It introduces a novel probabilistic framework for relativistic quantum mechanics that incorporates classical Minkowsky time dynamics and derives a relativistic hydrogen spectrum.

Findings

Relativistic hydrogen atom energy spectrum derived.

Classical Minkowsky time dynamics used as an observation tool.

Probabilistic interpretation extended to relativistic quantum particles.

Abstract

A probabilistic interpretation of one-particle relativistic quantum mechanics is proposed. Quantum Action Principle formulated earlier is used for to make the dynamics of the Minkowsky time variable of a particle to be classical. After that, quantum dynamics of a particle in the 3D space obtains the ordinary probabilistic interpretation. In addition, the classical dynamics of the Minkowsky time variable may serve as a tool for "observation" of the quantum dynamics of a particle. A relativistic analog of the hydrogen atom energy spectrum is obtained.