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Elements of Poisson Integral Calculus and Quantum Mechanics

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The theory of integration along Poisson trajectories is developed. Its probabilistic, statistical, and physical applications are specified.

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References

  1. S. I. Frolov, “Continuous product and random walks,” J. Math. Sci., 88, No. 6, 884–893 (1998).

    Article  MathSciNet  Google Scholar 

  2. S. I. Frolov, “Continuous product and integral along Poisson trajectories,” J. Math. Sci., 103, No. 5, 631–637 (2001).

    Article  MathSciNet  Google Scholar 

  3. S. I. Frolov, “Poisson path integrals of the “Riemann kind,” J. Math. Sci., 126, No. 1, 1036–1042 (2005).

    Article  MathSciNet  MATH  Google Scholar 

  4. F. R. Gantmacher, Matrix Theory, AMS Chelsea Publishing (2000).

  5. V. Lipskiy, Combinatorics for Programmers [in Russian], Mir, Moscow (1988).

  6. R. Feynman and A. Hibbs, Quantum Mechanics and Path Integrals, McGraw–Hill, New York (1965).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Scientific Research Institute of Polymeric Materials, Perm, Russia

    S. I. Frolov

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  1. S. I. Frolov
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Correspondence to S. I. Frolov.

Additional information

Translated from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, Vol. 19, pp. 204–218, 2006

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Frolov, S.I. Elements of Poisson Integral Calculus and Quantum Mechanics. J Math Sci 220, 691–700 (2017). https://doi.org/10.1007/s10958-016-3212-4

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  • DOI: https://doi.org/10.1007/s10958-016-3212-4

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