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A Super-Integrable Discretization of the Calogero Model

Hideaki Ujino·Luc Vinet·Haruo Yoshida
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Abstract

A time-discretization that preserves the super-integrability of the Calogero model is obtained by application of the integrable time-discretization of the harmonic oscillator to the projection method for the Calogero model with continuous time. In particular, the difference equations of motion, which provide an explicit scheme for time-integration, are explicitly presented for the two-body case. Numerical results exhibit that the scheme conserves all the$(=3)$ conserved quantities of the (two-body) Calogero model with a precision of the machine epsilon times the number of iterations.

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Hideaki Ujino, Luc Vinet, Haruo Yoshida. 2005-03-23. A Super-Integrable Discretization of the Calogero Model. https://doi.org/10.1063/1.1931043

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