Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-10-14
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, Latex
Scientific paper
We show that the Bessel equation can be cast, by means of suitable transformations, into a system of two damped/amplified parametric oscillator equations. The relation with the group contraction mechanism is analyzed and the breakdown of loop-antiloop symmetry due to group contraction manifests itself as violation of time-reversal symmetry. A preliminary discussion of the relation between some infinite dimensional loop-algebras, such as the Virasoro-like algebra, and the Euclidean algebras e(2) and e(3) is also presented.
Alfinito Eleonora
Vitiello Giuseppe
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