Geodesic
Probabilistic representation of the Cauchy problem solution for the multidimensional Shr\"odinger equation
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 26, Tome 466 (2017), pp. 145-158

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We construct a probabilistic representation of the Cauchy problem solution for the Shrödinger equation $2i\partial_tu=-\Delta u$. The result is an extension to a mulidimensional case of the previous results by I. Ibragimov, N. Smorodina and M. Faddeev. 
@article{ZNSL_2017_466_a10,
     author = {P. N. Ievlev},
     title = {Probabilistic representation of the {Cauchy} problem solution for the multidimensional {Shr\"odinger} equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {145--158},
     publisher = {mathdoc},
     volume = {466},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_466_a10/}
}
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P. N. Ievlev. Probabilistic representation of the Cauchy problem solution for the multidimensional Shr\"odinger equation. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 26, Tome 466 (2017), pp. 145-158. http://geodesic.mathdoc.fr/item/ZNSL_2017_466_a10/