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Generalized stochastic mechanics on Riemannian manifolds

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Abstract

Dankel's stochastic mechanics on Riemannian manifolds is generalized such that the diffusion constant becomes a free parameter in the theory.

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References

  1. NelsonE.,Dynamical Theories of Brownian Motion, Princeton U.P., Princeton, New Jersey, 1967.

    Google Scholar 

  2. NelsonE.,Phys. Rev. 150, 1079 (1966).

    Google Scholar 

  3. DankelT.G.,Arch. Rational Mech. Anal. 37, 192–221 (1970).

    Google Scholar 

  4. CaubetJ.P.,Le Mouvement Brownian Relativiste, Lecture Notes in Mathematics No. 559, Springer-Verlag, Berlin, 1976.

    Google Scholar 

  5. DohrnD. and GuerraF.,Lett. Nuovo Cimento 22, 121–127 (1978).

    Google Scholar 

  6. DohrnD. and GuerraF., ‘Geodesic Correction to Stochastic Parallel Displacement of Tensors’, in Lecture Notes in Physics, No. 93, Springer-Verlag, Berlin, 1979.

    Google Scholar 

  7. DavidsonM.,Physica 96A, 465–486 (1979).

    Google Scholar 

  8. DavidsonM.,Lett. Math. Phys. 4, 271–277 (1979).

    Google Scholar 

  9. ShuckerD.,Lett. Math. Phys. 4, 61–65 (1980).

    Google Scholar 

  10. DavidsonM.,Lett. Math. Phys. 3, 367–376 (1979).

    Google Scholar 

  11. DavidsonM.,Lett. Math. Phys. 4, 101–106 (1980).

    Google Scholar 

  12. Davidson, M., ‘Stochastic Quantization of the Electromagnetic Field’, submitted toJ. Math. Phys.

  13. Davidson, M., ‘Stochastic Quantization of the Linearized Gravitational Field’, submitted toJ. Math. Phys.

  14. NelsonE.,Tensor Analysis, Princeton U.P., Princeton, New Jersey, 1967.

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, San Jose State University, 95192, San Jose, CA, USA

    Mark Davidson

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  1. Mark Davidson
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Davidson, M. Generalized stochastic mechanics on Riemannian manifolds. Lett Math Phys 4, 475–483 (1980). https://doi.org/10.1007/BF00943434

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  • DOI: https://doi.org/10.1007/BF00943434

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