Feynman—Chernoff Iterations and Their Applications in Quantum Dynamics


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Resumo

The notion of Chernoff equivalence for operator-valued functions is generalized to the solutions of quantum evolution equations with respect to the density matrix. A semigroup is constructed that is Chernoff equivalent to the operator function arising as the mean value of random semigroups. As applied to the problems of quantum optics, an operator is constructed that is Chernoff equivalent to a translation operator generating coherent states.

Sobre autores

Yu. Orlov

Keldysh Institute of Applied Mathematics

Autor responsável pela correspondência
Email: yuno@kiam.ru
Rússia, Miusskaya pl. 4, Moscow, 125047

V. Sakbaev

Moscow Institute of Physics and Technology (State University)

Email: yuno@kiam.ru
Rússia, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701

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