Toward a Causal Interpretation of the Relativistic Quantum Mechanics of a Spinning Particle
As a first step in the direction of a causal interpretation, we analyze the features of the second order wave equation for spin 12/ fields. It is shown that this equation allows a coherent statistical interpretation by means of a conserved density which is positive definite. On this basis we can also construct all the usual Hilbert space formalism of the relativistic quantum mechanics. The relations with the fields ruled by the first order Dirac equation are also discussed. Finally, the perspectives of the definition of a relativistic spin-dependent quantum potential, of the connection with stochastic processes and the extension to the case of two correlated particles are briefly discussed.
In this note we will briefly sketch an outline of a research1, still in progress, that will bring us to a complete deterministic interpretation of the non local quantum interactions of the E.P.R. type 2 for the Bohm- Aharonov 3 case of spinning correlated particles. We hope so also on the basis of the fact that an analogous previous work on spinless relativistic particles gives encouraging results4.
KeywordsCausal Interpretation Statistical Interpretation Spinning Particle Quantum Potential Relativistic Quantum Mechanic
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- 5.H.Lamb, “Hydrodynamics”, (Cambridge Univ. Press, New York, 1953 )Google Scholar