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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations Quantum Simulation

Dynamical symmetries of the Calogero-Coulomb model

arXiv
Authors: Tigran Hakobyan

Year

2026

Paper ID

35887

Status

Preprint

Abstract Read

~2 min

Abstract Words

83

Citations

0

Abstract

We construct the dynamical symmetry of the quantum Calogero model with particle exchange in a confining Coulomb field. This symmetry is governed by the algebra so(N+1,2), deformed by exchange (Dunkl) operators, with its invariant sector generated by the Dunkl angular momentum tensor and the modified Laplace-Runge-Lenz vector. The equidistant analogue of the Hamiltonian, with a linear spectrum, is expressed in terms of the conformal subalgebra so(1,2). In addition, the wave functions of the Calogero-Coulomb Hamiltonian are classified into infinite-dimensional lowest-weight so(1,2) multiplets.

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  • We construct the dynamical symmetry of the quantum Calogero model with particle exchange in a confining Coulomb field.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.21325 [2] arXiv https://arxiv.org/abs/2603.21325 [3] Publisher https://arxiv.org/abs/2603.21325

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External citation index: OpenAlex citation signal • updated 2026-06-14 05:26:26

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