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Open Quantum Systems Decoherence
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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
N/A
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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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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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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