2021-03-09T11:21:05Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/400902020-06-17T17:11:48Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
Evolution of quantum observables: from non-commutativity to commutativity
Fortin, S.
Gadella Urquiza, Manuel
Holik, F.
Losada, M.
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.
2020-01-11T19:10:44Z
2020-01-11T19:10:44Z
2020
info:eu-repo/semantics/article
Soft Computing 24 (2020) 10265–10276
http://uvadoc.uva.es/handle/10324/40090
eng
https://link.springer.com/article/10.1007/s00500-019-04546-7
info:eu-repo/semantics/openAccess
SI