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On One Limit Theorem Related to the Cauchy Problem Solution for the Schrödinger Equation with a Fractional Derivative Operator of Order \( \upalpha\ \upepsilon \bigcup_{m=3}^{\infty}\left(m-1,m\right) \)

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We prove a limit theorem on the convergence of mathematical expectations of functionals of sums of independent random variables to the Cauchy problem solution for the nonstationary Schr¨odinger equation with a symmetric fractional derivative operator of order \( \upalpha\ \upepsilon \bigcup_{m=3}^{\infty}\left(m-1,m\right) \) in the righthand side.

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References

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Authors and Affiliations

  1. St.Petersburg Department of the Steklov Mathematical Institute; St.Petersburg State University, St. Petersburg, Russia

    M. V. Platonova

  2. St.Petersburg State University, St. Petersburg, Russia

    S. V. Tsykin

Authors
  1. M. V. Platonova
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  2. S. V. Tsykin
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Correspondence to M. V. Platonova.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 486, 2019, pp. 254–264.

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Platonova, M.V., Tsykin, S.V. On One Limit Theorem Related to the Cauchy Problem Solution for the Schrödinger Equation with a Fractional Derivative Operator of Order \( \upalpha\ \upepsilon \bigcup_{m=3}^{\infty}\left(m-1,m\right) \). J Math Sci 258, 912–919 (2021). https://doi.org/10.1007/s10958-021-05590-1

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  • DOI: https://doi.org/10.1007/s10958-021-05590-1

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