Classical-mechanical models without observable trajectories and the Dirac electron

Abstract

We construct a non-Grassmann spinning-particle model which, by analogy with quantum mechanics, does not admit the notion of a trajectory within the position space. The pseudo-classical character of the model allows us to avoid the inconsistencies arising in the quantum-mechanical interpretation of a one-particle sector of the Dirac equation.

6 pages, published version

References in corpus (2)

• Chirality Quantum Phase Transition in the Dirac oscillator
• Reconstruction of higher stage first class constraints into the secondary ones