an:04171727
Zbl 0712.46041
De Angelis, Gian Fabrizio
Stochastic mechanics of a relativistic spinless particle
EN
J. Math. Phys. 31, No. 6, 1408-1412 (1990).
00156045
1990
j
46N50 81P20
Nelson's stochastic mechanics; relativistic domain; pure state of a spinless relativistic quantum particle; Markov process
Summary: 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 \(t\mapsto \xi_ t\), where the random variable \(\xi_ t\) represents, at every time t, the space position of the particle in the sense of Newton and Wigner. The process \(t\mapsto \xi_ t\) is not a diffusion but the usual Nelson's theory is restored in the nonrelativistic limit.