Quantum Action Principle in Relativistic Mechanics (II)
Natalia Gorobey, Alexander Lukyanenko, and Inna Lukyanenko
TL;DR
This paper develops a probabilistic interpretation of one-particle relativistic quantum mechanics using the Quantum Action Principle, introducing a particle lifetime parameter linked to observable experimental parameters.
Contribution
It introduces a novel approach where probability flows in Minkowski space depend on an inner time parameter interpreted as particle lifetime, derived via a stationarity condition of the quantum action.
Findings
Probability flows in Minkowski space depend on particle lifetime.
Particle lifetime is determined by observable experimental parameters.
The approach provides a new interpretation of relativistic quantum mechanics.
Abstract
Quantum Action Principle formulated earlier is used as a ground for a probabilistic interpretation of one-particle relativistic quantum mechanics. In this new approach the probability "flows" in the Minkowsky space being dependent on an inner time parameter which we interpret as a particle life time. The life time is determined as a function of observable parameters of the real experiment by means of an additional condition of stationarity for the quantum action.
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Taxonomy
TopicsLaser-Plasma Interactions and Diagnostics · High-pressure geophysics and materials · Laser-Matter Interactions and Applications