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Existence and sample path properties of the diffusions in Nelson's stochastic mechanics

Part of the Lecture Notes in Mathematics book series (LNM,volume 1158)

Keywords

  • Quantum Fluctuation
  • Potential Scattering
  • Schroedinger Equation
  • Stochastic Mechanic
  • Stochastic Acceleration

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Bibliography

  1. Nelson, E.: "Quantum Fluctuations", Princeton, Princeton University Press, 1984.

    MATH  Google Scholar 

  2. Guerra, F, Morato, L.: Quantization of Dynamical Systems and Stochastic Control Theory, Phys. Rev. D., 27, 1983, 1771–1786.

    CrossRef  MathSciNet  Google Scholar 

  3. Carlen, E.: Conservative Diffusions, Com. Math. Phys., 94, 1984, 293–315.

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  4. Nelson, E.: Regular Probability Measures in Function Space, Ann. Math., Ser. 2, 69, 1959, 630–644

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  5. Guerra, F.: Lecture in these procedings

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  6. Zheng, W. A.: Tightness Result for Laws of Semimartingales; Application to Stochastic Mechanics., Strasbourg preprint.

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  7. Shucker, D.: Stochastic Mechanics of Systems with Zero Potential, J. Func. Analysis, 38, 1980, 146–155.

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  8. Carlen, E.: Potential Scattering in Stochastic Mechanics, to appear in Ann. de l'I.H.P.

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  9. Nelson, E.: "Dynamical Theories fo Brownian Motion", Princeton, Princeton University Press, 1967

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© 1986 Springer-Verlag

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Carlen, E.A. (1986). Existence and sample path properties of the diffusions in Nelson's stochastic mechanics. In: Albeverio, S.A., Blanchard, P., Streit, L. (eds) Stochastic Processes — Mathematics and Physics. Lecture Notes in Mathematics, vol 1158. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080208

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  • DOI: https://doi.org/10.1007/BFb0080208

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15998-8

  • Online ISBN: 978-3-540-39703-8

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