2 citations · 5 across the 20 of their papers we have counts for
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Quantum systems in Markovian environments
Henryk Gzyl
In this work, we develop a mathematical framework to model a quantum system whose Hamiltonian may depend on the state of changing environment, that evolves according to a Markovian…
Ill-posed linear inverse problems with box constraints: A new convex optimization approach
Henryk Gzyl
Consider the linear equation , where is a -matrix, and $\mathbf{y}\in\mathbb…
Canonical equivalence of a charge in a time dependent, spatially-homogeneous electromagnetic field to a time-dependent perturbed oscillator
Henryk Gzyl
Here we prove that the classical (respectively, quantum) system, consisting of a particle moving in a static electromagnetic field, is canonically (respectively, unitarily) equival…
Canonical equivalence of a particle in a magnetic field to a simple oscillator
Henryk Gzyl
It is proved that a classical (respec. quantum) system consisting of a particle in a constant magnetic field is canonically (respec. unitarily) equivalent to a 2-dimensional harmon…
Prediction and estimation of random variables with infinite mean or variance
Victor de la Pena, Henryk Gzyl, Silvia Mayoral +2
In this paper we propose an optimal predictor of a random variable that has either an infinite mean or an infinite variance. The method consists of transforming the random variable…