INVESTIGADORES
FORTIN Sebastian Ezequiel
artículos
Título:
Evolution of quantum observables: from non-commutativity to commutativity
Autor/es:
S. FORTIN; M. GADELLA; F. HOLIK; M. LOSADA
Revista:
SOFT COMPUTING - (Print)
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2020 vol. 24 p. 10265 - 10276
ISSN:
1472-7643
Resumen:
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 rst 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 innite time limit.
