Quantum mechanics of relativistic spinless particles

V. A. Rizov

R. P. Gaida

M. Haghighat, Arman Dadkhah

Martinus J. G. Veltman

Gian Fabrizio De Angelis

An extension of Nelson’s stochastic mechanics to the relativistic domain is proposed. To each pure state of a spinless relativistic quantum particle corresponds a Markov process t ]ξt, where the random variable ξt represents, at every time t, the space position of the particle in the sense of Newton and Wigner. The process t ]ξt is not a diffusion but the usual Nelson’s theory is restored in the nonrelativistic limit.

Günter Ludyk