A Dynamical Theory of Markovian Diffusion

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Davidson, Mark;
(2001)
  • Subject: Quantum Physics

A dynamical treatment of Markovian diffusion is presented and several applications discussed. The stochastic interpretation of quantum mechanics is considered within this framework. A model for Brownian movement which includes second order quantum effects is derived.
  • References (15)
    15 references, page 1 of 2

    [1] J.L. Doob, Stochastic Processes (Wiley, New York, 1953).

    [2] E.B. Dynkin, Markov Processes (Springer, Berlin, 1965).

    [3] W. Feller, An Introduction to Probability Theory and Its Applications (Wiley, New York, 1971).

    [4] K. Ito, Lectures on Stochastic Processes (Tata, Bombay, 1961).

    [5] K. Ito and H.P. Mckean, Jr., Diffusion Processes and Their Sample Paths (Springer, Berlin, 1965).

    [6] P. L´evy, Processus Stochastiques et Mouvement Brownien (Gauthier-Villars, Paris, 1965).

    [7] A. Einstein, Ann. d. Physik 17 (1905) 549; Investigations on the Theory of Brownian Movement, R. Furth, Ed. (Dover, New York, 1956).

    [8] M.V. Smoluchowski, Phys. Zeits. 17, (1916) 557.

    [9] Bulletin American Math. Soc. 72 (1966) no. 1 part 2, commemorative issue.

    [10] G.E. Uhlenbeck and L.S. Ornstein, Phys. Rev. 36, (1930) 823.

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