INVESTIGADORES
HOLIK Federico Hernan
artículos
Título:
An Algebraic Model for Quantum Unstable States
Autor/es:
FORTIN, SEBASTIAN; GADELLA, MANUEL; HOLIK, FEDERICO; JORGE, JUAN PABLO; LOSADA, MARCELO
Revista:
Mathematics
Editorial:
MPDI
Referencias:
Lugar: Basel; Año: 2022 vol. 10
Resumen:
In this review, we present a rigorous construction of an algebraic method for quantum unstable states, also called Gamow states. A traditional picture associates these states to vectors states called Gamow vectors. However, this has some difficulties. In particular, there is no consistent definition of mean values of observables on Gamow vectors. In this work, we present Gamow states as functionals on algebras in a consistent way. We show that Gamow states are not pure states, in spite of their representation as Gamow vectors. We propose a possible way out to the construction of averages of observables on Gamow states. The formalism is intended to be presented with sufficient mathematical rigor.
