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Momentum in stochastic quantum mechanics

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Abstract

Momentum is analyzed as a random variable in stochastic quantum mechanics. Arbitrary potential energy functions are considered. The oscillator is presented as an example.

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References

  1. Nelson, E., Phys. Rev. 150, 1079–1085 (1966).

    Article  ADS  Google Scholar 

  2. Nelson, E., Dynamical Theories of Brownian Motion, Princeton University Press, Princeton, 1967.

    MATH  Google Scholar 

  3. Shucker, D., J. Funct. Anal. 38, 146–155 (1980).

    Article  MATH  MathSciNet  Google Scholar 

  4. Shucker, D., Lett. Math. Phys. 4, 61–65 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  5. Wiener, N., Siegel, A., Rankin, B., and Martin, W.T., Differential Space, Quantum Systems, and Prediction, MIT Press, Cambridge, 1966.

    MATH  Google Scholar 

  6. Von Neumann, J., Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, 1955.

    MATH  Google Scholar 

  7. Bell, J.S., Rev. Mod. Phys. 38, 447–452 (1966).

    Article  MATH  ADS  Google Scholar 

  8. Davidson, M., Physica 96A, 465–486 (1979).

    Article  MathSciNet  Google Scholar 

  9. Davidson, M., Lett. Math. Phys. 3, 271–277 (1979).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  10. Davidson, M., Lett. Math. Phys. 4, 475–483 (1980).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. Yasue, K., Prog. Theor. Phys. 57, 318 (1977).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  12. Moore, S.M., J. Math. Phys. 21, 2102 (1980).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  13. Caubet, J.P., Le Mouvement Brownien Relativiste, Lecture Notes in Mathematics Vol 559, Springer-Verlag, Berlin, 1976.

    MATH  Google Scholar 

  14. Dohrn, D. and Guerra, F., Lett. Nuovo Cimento 22, 121 (1978).

    Article  MathSciNet  Google Scholar 

  15. De Angelis, G.F., De Falco, D., and Guerra, F., ‘Probabilistic Ideas in the Theory of Fermi Fields, I. Stochastic Quantization of the Fermi Oscillator’, Salerno-Princeton-Rome preprint, October, 1980.

  16. Guerra, F. and Loffredo, M.I., ‘Thermal Mixtures in Stochastic Mechanics’, Rome preprint, November 1980.

  17. Klauder, J., ‘Interaction Picture for Stochastic Differential Equations’, in L. Streit (ed.), Quantum Field-Algebras Processes, Springer-Verlag, Berlin, 1980, p. 53.

    Google Scholar 

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Davidson, M. Momentum in stochastic quantum mechanics. Lett Math Phys 5, 523–529 (1981). https://doi.org/10.1007/BF00408134

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  • DOI: https://doi.org/10.1007/BF00408134

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