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A Probabilistic Representation of the Cauchy Problem Solution for the Multidimensional Schrödinger Equation

We construct a probabilistic representation of the Cauchy problem solution for the Schrödinger equation 2i∂tu =  − Δu. The result is an extension to the multidimensional case of the previous results by I. Ibragimov, N. Smorodina, and M. Faddeev.

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References

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Correspondence to P. N. Ievlev.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 466, 2017, pp. 145–158.

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Ievlev, P.N. A Probabilistic Representation of the Cauchy Problem Solution for the Multidimensional Schrödinger Equation. J Math Sci 244, 796–804 (2020) doi:10.1007/s10958-020-04653-z

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