Abstract
Since the beginnings of quantum mechanics a partial formal similarity to statistical phenomena was noticed [Sch 2; Fü; Mo; Ja]. The theory of stochastic mechanics [Fé; Ne 1–3; Gue 1] is one of such attempts at describing quantum phenomena in terms of stochastic processes. Naturally, it has been an interesting question whether the results of stochastic mechanics are consistent with those obtained in the usual functional analytic approach to quantum mechanics.
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References
Ph.Blanchard, S.Golin and M.Serva: On Repeated Measurements in Stochastic Mechanics (in preparation)
M.Cini: Stochastic Field Theory, contribution to this workshop
I.Fényes: Eine wahrscheinlichkeitstheoretische Begründung und Interpretation der Quantenmechanik, Z.Physik 132, 81 (1952)
D.de Falco, S.De Martino and S.De Siena: Position-Momentum Uncertainty in Stochastic Mechanics, Phys.Rev.Lett. 49,181(1982)
R.Fürth: Über einige Beziehungen zwischen klassischer Statistik und Quantenmechanik, Z.Physik 81, 143 (1933)
H.Grabert, P.Hänggi und P.Talkner: Is Quantum Mechanics Equivalent to a Classical Process?, Phys.Rev. A19, 2440 (1979)
S.Golin: Uncertainty Relations in Stochastic Mechanics, J.Math.Phys. 26, 2781 (1985)
-: Comment on Momentum in Stochastic Mechanics (submitted to J.Math.Phys.)
-: Indeterminacy Relations in Stochastic Mechanics, in: Stochastic Processes in Classical and Quantum Systems (eds. S.Albeverio et al.), Lecture Notes in Mathematics, Springer (to appear)
F.Guerra: Structural Aspects of Stochastic Mechanics and Stochastic Field Theory,Phys.Rep. 77, 263 (1981)
-:Probability and Quantum Mechanics, The Conceptual Foundations of Stochastic Mechanics, in: Quantum Probability and Applications to the Quantum Theory of Irreversible Processes (eds. L. Accardi et al.),Lecture Notes in Mathematics 1055, Springer (1984)
-:Stochastic Mechanics and Quantum Mechanics, contribution to this workshop
M. Jammer: The Philosophy of Quantum Mechanics,Wiley (1974)
J.E.Moyal: Quantum Mechanics as a Statistical Theory, Proc. Camb.Phil. Soc. 45, 99 (1949)
S.De Martino and S.De Siena: Quantum Uncertainty Relations and Stochastic Mechanics,Nuovo Cimento 79B, 175 (1984)
E.Nelson: Derivation of the Schrödinger Equation from Newtonian Mechanics, Phys.Rev. 150, 1079 (1966)
-:Dynamical Theories of Brownian Motion, Princeton University Press (1967)
-:Quantum Fluctuations, Princeton University Press (1985)
-:Field Theory and the Future of Stochastic Mechanics, in: cf. [Go 3]
L. de la Peña-Auerbach and M.Cetto: Stronger Form for the Position-Momentum Uncertainty Relation, Phys.Lett A39,65 (1972)
E.Schrödinger: Zum Heisenbergschen Unschärfeprinzip, Sitzungs- ber. Preuss.Akad.Wiss.,Phys.-Math.Kl., 296 (1930)
-:Über die Umkehrung der Naturgesetze, Sitzungsber. Preuss.Akad. Wiss., Phys.-Math.Kl., 144 (1931)
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© 1986 Plenum Press, New York
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Golin, S. (1986). Two Remarks on the Physical Content of Stochastic Mechanics. In: Gorini, V., Frigerio, A. (eds) Fundamental Aspects of Quantum Theory. NATO ASI Series, vol 144. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5221-1_55
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DOI: https://doi.org/10.1007/978-1-4684-5221-1_55
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