In this paper the problem of recovering an algebraic dynamics in a perturbative approach is discussed. The mathematical environment in which the physical problem is considered is that of algebras of unbounded operators endowed with the quasiuniform topology. After some remarks on the domain of the perturbation, conditions are given for the dynamics to exist as the limit of a net of regularized linear maps. © 2002 American Institute of Physics.
Bagarello, F., Trapani, C. (2002). Algebraic dynamics in O*-algebras: A perturbative approach. JOURNAL OF MATHEMATICAL PHYSICS, 43(6), 3280-3292 [10.1063/1.1467609].
Algebraic dynamics in O*-algebras: A perturbative approach
BAGARELLO, Fabio;TRAPANI, Camillo
2002-01-01
Abstract
In this paper the problem of recovering an algebraic dynamics in a perturbative approach is discussed. The mathematical environment in which the physical problem is considered is that of algebras of unbounded operators endowed with the quasiuniform topology. After some remarks on the domain of the perturbation, conditions are given for the dynamics to exist as the limit of a net of regularized linear maps. © 2002 American Institute of Physics.
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