An analogue of the Feynman–Kac formula for the multidimensional Shr\"odinger equation
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 34, Tome 525 (2023), pp. 96-108

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A probabilistic approximation of the solution of the Cauchy problem for the multidimensional Schrödinger equation with limited potential is constructed. The approximation has the form of expectations of functionals of a random point field.
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     author = {M. V. Platonova},
     title = {An analogue of the {Feynman{\textendash}Kac} formula for the multidimensional {Shr\"odinger} equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {96--108},
     publisher = {mathdoc},
     volume = {525},
     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_525_a7/}
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M. V. Platonova. An analogue of the Feynman–Kac formula for the multidimensional Shr\"odinger equation. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 34, Tome 525 (2023), pp. 96-108. http://geodesic.mathdoc.fr/item/ZNSL_2023_525_a7/