1.

Edward Nelson, “Derivation of the Schrödinger equation from Newtonian mechanics,”*Phys. Rev.*
**150**, 1079–1085 (1966).

2.

Mark Davidson, “A generalization of the Fényes-Nelson stochastic model of quantum mechanics,”*Lett. Math. Phys.*
**3**, 271–277 (1979).

3.

Kunio Yasue, “Stochastic calculus of variations,”*J. Funct. Anal.*,**41**, 327–340 (1981).

4.

Francesco Guerra and Laura M. Morato, “Quantization of dynamical systems and stochastic control theory,”*Phys. Rev. D*
**27**, 1774–1786 (1983).

5.

Laura M. Morato, “Path-wise stochastic calculus of variations with the classical action and quantum systems,”*Phys. Rev. D*
**32**, 1982–1987 (1985).

6.

Rossana Marra, “Variational principles for conservative and dissipative diffusions,”*Phys. Rev. D*
**36**, 1724–1730 (1987).

7.

John D. Lafferty, “The density manifold and configuration space quantization,”*Trans. Am. Math. Soc.*
**633**, 699–741 (1988).

8.

Eric A. Carlen, “Conservative diffusions,”*Commun. Math. Phys.*
**94**, 293–315 (1984).

9.

Imre Fényes, “Eine wahrscheinlichkeitstheoretische Begründung und Interpretation der Quantenmechanik,”*Z. Phys.*
**132**, 81–106 (1952).

10.

Edward Nelson,*Dynamical Theories of Brownian Motion* (Princeton University Press, Princeton, 1967).

11.

Sergio Albeverrio and Raphael Høegh-Krohn, “A remark on the connection between stochastic mechanics and the heat equation,”*J. Math. Phys.*
**15**, 1745–1747 (1974).

12.

Sheldon Goldstein, “Stochastic mechanics and quantum theory,”*J. Stat. Phys.*
**47**(5/6), 645–667 (1987); see especially the discussion of the Aharonov-Bohm effect, §10.1.

13.

Edward Nelson, “Stochastic mechanics and random fields,” to appear.

14.

Edward Nelson,*Quantum Fluctuations* (Princeton University Press, Princeton, NJ, 1985).