Abstract
Stochastic mechanics may be used to described the spin of atomic particles. The spin variables have the same expectations as in quantum mechanics, but not the same distributions. They play the role of hidden variables that influence, but do not determine, the results of Stern-Gerlach experiments involving magnets. During the course of such an experiment spin becomes correlated with position. The case of two particles with zero total spin occurs in Bohm's version of the Einstein-Rosen-Podolsky experiment.
Similar content being viewed by others
References
E. Nelson,Dynamical Theories of Brownian Motion (Princeton University Press, Princeton, 1967).
E. Nelson, “The use of the Wiener process in quantum theory,” inCollected Works of Norbert Wiener, Vol. 3, edited by P. Masani (M.I.T. Press, Cambridge), to appear.
D. S. Shucker,J. Math. Phys. 22, 491 (1981).
D. S. Shucker,J. Functional Anal. 38, 146 (1980).
J. Dollard,Commun. Math. Phys. 12, 193 (1969).
T. G. Dankel,Arch. Rational Mech. Anal. 37, 192 (1970).
T. G. Dankel,J. Math. Phys. 18, 253 (1977).
H. C. Corben,Classical and Quantum Theories of Spinning Particles (Holden-Day, San Francisco, 1968).
B. d'Espagnat,Sci. Am. 241(5), 158 (1979).
M. Jammer,The Philosophy of Quantum Mechanics (Wiley, New York, 1974).
F. J. Belinfante,A Survey of Hidden-Variable Theories (Pergamon, Oxford, 1973).
A. Peres,Am. J. Phys. 46, 745 (1978).
G. Jona-Lasinio, F. Martinelli, and E. Scoppola,Comm. Math. Phys. 80, 223 (1981).
H. P. McKean,Stochastic Integrals (Academic Press, New York, 1969).
D. Dohrn and F. Guerra,Lett. Nuovo Cimento 22, 121 (1978).
A. Böhm,Quantum Mechanics (Springer, New York, 1979).
N. D. Mermin,Phys. Rev. D22, 356 (1980).
F. Selleri,Found. Phys. 8, 103 (1978).
Author information
Authors and Affiliations
Additional information
This material is based upon work supported by the National Science Foundation under Grant No. MCS-8002945.
Rights and permissions
About this article
Cite this article
Faris, W.G. Spin correlation in stochastic mechanics. Found Phys 12, 1–26 (1982). https://doi.org/10.1007/BF00726872
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00726872