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.
@article{ZNSL_2023_525_a7,
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},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_525_a7/}
}
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/