7 citations · 9 across the 6 of their papers we have counts for
6 papers
Normal forms, inner products and Maslov indices of general multimode squeezings
A. M. Chebotarev, T. V. Tlyachev
In this paper we present a pure algebraic construction of the normal factorization of multimode squeezed states and calculate their inner products. This procedure allows one to ort…
On Stable Pareto Laws in a Hierarchical Model of Economy
Alexander M. Chebotarev
This study considers a model of the income distribution of agents whose pairwise interaction is asymmetric and price-invariant. Asymmetric transactions are typical for chain-tradin…
Interaction representation method for Markov master equations in quantum optics
Alexander Chebotarev, Julio Garcia, Roberto Quezada
Conditions sufficient for a quantum dynamical semigroup (QDS) to be unital are proved for a class of problems in quantum optics with Hamiltonians which are self-adjoint polynomials…
Asymptotic Summation of Slow Converging and Rapidly Oscillating Series
Alexander M. Chebotarev
Mean values of some observables describing quantum interaction between the Bose field in a cavity and a movable mirror can be represented as expectations of rapidly oscillating fun…
Sufficient Conditions for Conservativity of Minimal Quantum Dynamical Semigroups
Alexander Chebotarev, Franco Fagnola
The conservativity of a minimal quantum dynamical semigroup is proved whenever there exists a ``reference'' subharmonic operator bounded from below by the dissipative part of the i…
Quantum stochastic differential equation is unitary equivalent to a symmetric boundary value problem in Fock space
Alexander M. Chebotarev
We show a new remarkable connection between the symmetric form of a quantum stochastic differential equation (QSDE) and the strong resolvent limit of Schrödinger equations in Fock…