6533b834fe1ef96bd129d7a2

RESEARCH PRODUCT

Algebraic dynamics in O*-algebras: a perturbative approach

Camillo TrapaniFabio Bagarello

subject

Pure mathematicsquantum dynamicsPerturbation (astronomy)FOS: Physical sciencesStatistical and Nonlinear PhysicsOperator algebraPerturbation theory (quantum mechanics)Mathematical Physics (math-ph)Algebraic numberSettore MAT/07 - Fisica MatematicaMathematical PhysicsMathematics

description

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.

yearjournalcountryeditionlanguage
2009-03-31
10.1063/1.1467609http://arxiv.org/abs/0903.5457