TY - JOUR
T1 - Dynamics of algebras in quantum unstable systems
AU - Losada, Marcelo
AU - Fortin, Sebastian
AU - Gadella, Manuel
AU - Holik, Federico
PY - 2018/7/10
Y1 - 2018/7/10
N2 - We introduce a dynamical evolution operator for dealing with unstable physical process, such as scattering resonances, photon emission, decoherence and particle decay. With that aim, we use the formalism of rigged Hilbert space and represent the time evolution of quantum observables in the Heisenberg picture, in such a way that time evolution is nonunitary. This allows to describe observables that are initially noncommutative, but become commutative after time evolution. In other words, a non-abelian algebra of relevant observables becomes abelian when times goes to infinity. We finally present some relevant examples.
AB - We introduce a dynamical evolution operator for dealing with unstable physical process, such as scattering resonances, photon emission, decoherence and particle decay. With that aim, we use the formalism of rigged Hilbert space and represent the time evolution of quantum observables in the Heisenberg picture, in such a way that time evolution is nonunitary. This allows to describe observables that are initially noncommutative, but become commutative after time evolution. In other words, a non-abelian algebra of relevant observables becomes abelian when times goes to infinity. We finally present some relevant examples.
KW - Dynamical logics
KW - algebras
KW - rigged Hilbert space
KW - unstable systems
UR - http://www.scopus.com/inward/record.url?scp=85048743216&partnerID=8YFLogxK
U2 - 10.1142/S0217751X18501099
DO - 10.1142/S0217751X18501099
M3 - Article
SN - 0217-751X
VL - 33
JO - International Journal of Modern Physics A : Particles & Fields, Gravitation, Cosmology, Nuclear Physics
JF - International Journal of Modern Physics A : Particles & Fields, Gravitation, Cosmology, Nuclear Physics
IS - 18-19
M1 - 1850109
ER -