Calogero model and sL(2,R) algebra

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, LaTeX file

Scientific paper

The Calogero model with external harmonic oscillator potential is discussed
from sL(2,R) algebra point of view. Explicit formulae for functions with
exponential time behaviour are given; in particular, the integrals of motion
are constructed and their involutiveness demonstrated. The superintegrability
of the model appears to be a simple consequence of the formalism.

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