63 citations · 144 across the 13 of their papers we have counts for
15 papers
Law of Large Numbers for Random Quantum Dynamical Semigroups
John E. Gough, Yurii N. Orlov, Vsevolod Zh. Sakbaev +1
We present a Law of Large Numbers principle for uniformly continuous random quantum dynamical semigroups. Random iterates of independent copies of these semigroups are shown to be…
Randomized Quantum Hamiltonian Systems
John E. Gough, Yurii N. Orlov, Vsevolod Zh. Sakbaev +1
We present a procedure for averaging one-parameter random unitary groups and random self-adjoint groups. Central to this is a generalization of the notion of weak convergence of a…
Chernoff approximations of Feller semigroups in Riemannian manifolds
Sonia Mazzucchi, Valter Moretti, Ivan Remizov +1
Chernoff approximations of Feller semigroups and the associated diffusion processes in Riemannian manifolds are studied. The manifolds are assumed to be of bounded geometry, thus i…
Feynman path integrals and Lebesgue-Feynman measures
James Montaldi, Oleg G. Smolyanov
We call a Lebesgue-Feynman measure (LFM) any generalized measure (distribution in the sense of Sobolev and Schwartz) on a locally convex topological vector space E which is transla…
Noether theorems and quantum anomalies
John Gough, Tudor S. Ratiu, Oleg G. Smolyanov
In this communication, we show that both infinite-dimensional versions of Noether's theorems, and the explanation of quantum anomalies can be obtained using similar formulas for th…
Wigner Measures and Quantum Control
J. E. Gough, T. S. Ratiu, O. G. Smolyanov
We study several examples from quantum control theory in the framework of Wigner functions and measures for infinite dimensional open quantum systems. An axiomatic definition of co…