Calogero model and sL(2,R) algebra
C. Gonera, P. Kosinski (University of Lodz, Poland)
TL;DR
This paper analyzes the Calogero model with harmonic potential using sL(2,R) algebra, providing explicit formulas, integrals of motion, and demonstrating superintegrability through algebraic formalism.
Contribution
It introduces an algebraic approach to the Calogero model, explicitly constructing integrals of motion and showing superintegrability based on sL(2,R) algebra.
Findings
Explicit formulas for functions with exponential time behavior
Construction and involutiveness of integrals of motion
Superintegrability derived from algebraic formalism
Abstract
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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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Molecular spectroscopy and chirality