Physics of Atomic Nuclei

, Volume 75, Issue 10, pp 1288–1293

Constants of motion of the four-particle Calogero model

Elementary Particles and Fields Theory

DOI: 10.1134/S1063778812100171

Cite this article as:
Saghatelian, A. Phys. Atom. Nuclei (2012) 75: 1288. doi:10.1134/S1063778812100171


We present the explicit expressions of the complete set of constants of motion of four-particle Calogero model with excluded center of mass, i.e. of the A3 rational Calogero model. Then we find the constants of motion of its spherical part, defining two-dimensional 12-center spherical oscillator, with the force centers located at the vertexes of cuboctahedron.

Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Yerevan State UniversityYerevanArmenia

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