3 citations · 6 across the 10 of their papers we have counts for
7 papers · 1 filter
-Semigroups on d.m.o. linear relations
Luis D. Regalado-Hernández, Josué I. Rios-Cangas
This article develops a theory of one-parameter semigroups for linear relations, introducing the notion of domain-multivalued orthogonal (d.m.o.) relations. We establish complete c…
On the analytical approach to infinite-mode Boson-Gaussian states
Jorge R. Bolaños-Servín, Roberto Quezada, Josué I. Rios-Cangas
We develop an analytical approach to quantum Gaussian states in infinite-mode representation of the Canonical Commutation Relations (CCR's), using Yosida approximations to define i…
The fast recurrent subspace on an -level quantum energy transport model
Jorge R. Bolaños-Servín, Josué I. Rios-Cangas, Alfredo Uribe
The fast recurrent subspace (the biggest support of all invariant states) of a Weak Coupling Limit Type Quantum Markov Semigroup modeling a quantum transport open system of -ene…
A Characterization of Quantum Gaussian States in Terms of Annihilation Moments
Jorge R. Bolaños-Servín, Roberto Quezada, Josué I. Rios-Cangas
We give a rigorous definition of moments of an unbounded observable with respect to a quantum state in terms of Yosida's approximations of unbounded generators of contractions semi…
Transition maps between Hilbert subspaces and quantum energy transport
Jorge R. Bolaños-Servín, Roberto Quezada, Josué I. Rios-Cangas
We use a natural generalization of the discrete Fourier transform to define transition maps between Hilbert subspaces and the global transport operator . By using these transiti…
Perturbation theory for selfadjoint relations
Josué I. Rios-Cangas, Luis O. Silva
We study Weyl-type perturbation theorems in the context of linear closed relations. We establish general results on perturbations for dissipative relations. In the particular case…
Dissipative extension theory for linear relations
Josué I. Rios-Cangas, Luis O. Silva
This work is devoted to dissipative extension theory for dissipative linear relations. We give a self-consistent theory of extensions by generalizing the theory on symmetric extens…