RT info:eu-repo/semantics/article
T1 Evolution of quantum observables: from non-commutativity to commutativity
A1 Fortin, S.
A1 Gadella Urquiza, Manuel
A1 Holik, F.
A1 Losada, M.
AB A fundamental aspect of the quantum-to-classical limit is the transition from a non-commutative algebra of observables to commutative one.However, this transition is not possible if we only consider unitary evolutions. One way to describe this transition is to consider the Gamow vectors, which introduce exponential decays in the evolution. In this paper, we give two mathematical models in which this transition happens in the infinite time limit. In the first one, we consider operators acting on the space of the Gamow vectors, which represent quantum resonances. In the second one, we use an algebraic formalism from scattering theory. We construct a non-commuting algebra which commutes in the infinite time limit.
YR 2020
FD 2020
LK http://uvadoc.uva.es/handle/10324/40090
UL http://uvadoc.uva.es/handle/10324/40090
LA eng
NO Soft Computing 24 (2020) 10265–10276
DS UVaDOC
RD 03-mar-2021