Quantum dynamics as stochastic process in phase space
Teoretičeskaâ i matematičeskaâ fizika, Tome 110 (1997) no. 3, pp. 454-458
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
It is shown that quantum dynamics is equivalent to a stochastic process in phase space. The process is described by normalized but not necessarily positive probability distributions (“pseudoprobabilities”). The dynamics of the distribution function of current process values literally coincides with that of the Wigner function of quantum system.
[1] E. Nelson, Dynamical Theories of Brownian Motion, Princeton Univ., Princeton, New Jersey, 1967 | MR
[2] M. Davidson, J. Math. Phys., 19:9 (1978), 1975 | DOI | MR | Zbl
[3] J. E. Moyal, Proc. Cambridge. Phil. Soc., 45. Pt 1 (1949), 99 | DOI | MR | Zbl
[4] E. Wigner, Phys. Rev., 40:6 (1932), 749 | DOI | MR | Zbl
[5] K. Husimi, Proc. Phys. Math. Soc. Japan, 22 (1940), 264 | Zbl
[6] S. Weinberg, Phys. Rev. Lett., 62:5 (1989), 485 | DOI | MR