Geodesic
Probabilistic Approximation of the Evolution Operator
Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 2, pp. 25-39

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A method for approximation of the operator $e^{-itH}$, where $H=-\frac{1}{2}\frac{d^2}{dx^2}+V(x)$, in the strong operator topology is proposed. The approximating operators have the form of expectations of functionals of a certain random point field.
Mots-clés : evolution equation, Feynman–Kac formula.
Keywords: limit theorem 
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     author = {I. A. Ibragimov and N. V. Smorodina and M. M. Faddeev},
     title = {Probabilistic {Approximation} of the {Evolution} {Operator}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {25--39},
     publisher = {mathdoc},
     volume = {52},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2018_52_2_a2/}
}
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I. A. Ibragimov; N. V. Smorodina; M. M. Faddeev. Probabilistic Approximation of the Evolution Operator. Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 2, pp. 25-39. http://geodesic.mathdoc.fr/item/FAA_2018_52_2_a2/