Geodesic
Feynman formulas as a~method of averaging random Hamiltonians
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and analysis, Tome 285 (2014), pp. 232-243

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We propose a method for finding the mathematical expectation of random unbounded operators in a Hilbert space. The method is based on averaging random one-parameter semigroups by means of the Feynman–Chernoff formula. We also consider an application of this method to the description of various operations that assign quantum Hamiltonians to the classical Hamilton functions. 
@article{TM_2014_285_a14,
     author = {Yu. N. Orlov and V. Zh. Sakbaev and O. G. Smolyanov},
     title = {Feynman formulas as a~method of averaging random {Hamiltonians}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {232--243},
     publisher = {mathdoc},
     volume = {285},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2014_285_a14/}
}
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Yu. N. Orlov; V. Zh. Sakbaev; O. G. Smolyanov. Feynman formulas as a~method of averaging random Hamiltonians. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and analysis, Tome 285 (2014), pp. 232-243. http://geodesic.mathdoc.fr/item/TM_2014_285_a14/