Search results for " operatorial model"

showing 2 items of 2 documents

(H,ρ)-induced dynamics and large time behaviors

2018

In some recent papers, the so called (H,ρ)-induced dynamics of a system S whose time evolution is deduced adopting an operatorial approach, borrowed in part from quantum mechanics, has been introduced. Here, H is the Hamiltonian for S, while ρ is a certain rule applied periodically (or not) on S. The analysis carried on throughout this paper shows that, replacing the Heisenberg dynamics with the (H,ρ)-induced one, we obtain a simple, and somehow natural, way to prove that some relevant dynamical variables of S may converge, for large t, to certain asymptotic values. This cannot be so, for finite dimensional systems, if no rule is considered. In this case, in fact, any Heisenberg dynamics im…

(Hρ)-induced dynamicOperatorial modelSchrödinger and Heisenberg dynamicStressed bacterial population(Hρ)-induced dynamics; Operatorial models; Schrödinger and Heisenberg dynamics; Stressed bacterial populations; Statistics and Probability; Condensed Matter PhysicsSettore MAT/07 - Fisica Matematica
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Dynamics for a quantum parliament

2023

In this paper we propose a dynamical approach based on the Gorini-Kossakowski-Sudarshan-Lindblad equation for a problem of decision making. More specifically, we consider what was recently called a quantum parliament, asked to approve or not a certain law, and we propose a model of the connections between the various members of the parliament, proposing in particular some special form of the interactions giving rise to a {\em collaborative} or non collaborative behaviour.

Quantum PhysicsApplied MathematicsFOS: Physical sciencesMathematical Physics (math-ph)Quantum Physics (quant-ph)Settore MAT/07 - Fisica MatematicaMathematical PhysicsGorini–Kossakowski–Sudarshan–Lindblad equation operatorial model voting dynamics
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