Document Zbl 0447.60042

Stochastic mechanics of systems with zero potential. (English) Zbl 0447.60042

J. Funct. Anal. 38, 146-155 (1980).

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MSC:

60H10	Stochastic ordinary differential equations (aspects of stochastic analysis)
60G17	Sample path properties
60K99	Special processes
81Q99	General mathematical topics and methods in quantum theory

Keywords:

zero potential; stochastic mechanics; quantum mechanical probability density

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References:

[1]	Dankel, T. G., Mechanics on manifolds and the incorporation of spin into Nelson’s stochastic mechanics, Arch. Rational Mech. Anal., 37, 192-221 (1970) · Zbl 0199.28201
[2]	Dollard, J. D., Asymptotic convergence and the Coulomb interaction, J. Math. Phys., 5, 729-738 (1964)
[3]	Fényes, I., Eine Wahrscheinlichkeitstheoretische Begründing und Interpretation der Quantenmechanic, Z. Phys., 132, 81-106 (1952) · Zbl 0048.44201
[4]	Nelson, E., Derivation of the Schrödinger equation from Newtonian mechanics, Phys. Rev., 150, 1079-1085 (1966)
[5]	Nelson, E., Dynamical Theories of Brownian Motion (1967), Princeton Univ. Press: Princeton Univ. Press Princeton, N. J · Zbl 0165.58502
[6]	Nelson, E., Feynman integrals and the Schrödinger equation, J. Math. Phys., 5, 332-343 (1964) · Zbl 0133.22905

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