3 citations · 6 across the 12 of their papers we have counts for
4 papers · 1 filter
On the extension of singular linear infinite-dimensional Hamiltonian flows
Vladimir Glazatov, Vsevolod Sakbaev
We study Hamiltonian flows in a real separable Hilbert space endowed with a symplectic structure. Measures on the Hilbert space that are invariant with respect to the flows of comp…
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…
Self-adjoint approximations of degenerate Schrodinger operator
V. Zh. Sakbaev, I. V. Volovich
The problem of construction a quantum mechanical evolution for the Schrodinger equation with a degenerate Hamiltonian which is a symmetric operator that does not have self-adjoint…