On a Probabilistic Interpretation of Relativistic Quantum Mechanics
Quantum Physics
2010-12-09 v1 General Relativity and Quantum Cosmology
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.
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Cite
@article{arxiv.1012.1719,
title = {On a Probabilistic Interpretation of Relativistic Quantum Mechanics},
author = {Natalia Gorobey and Alexander Lukyanenko and Inna Lukyanenko},
journal= {arXiv preprint arXiv:1012.1719},
year = {2010}
}
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4 pages