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We deform N-dimensional (Euclidean, spherical and hyperbolic) oscillator and Coulomb systems, replacing their angular degrees of freedom by those of a generalized rational Calogero model.
1913
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S.N.M. Ruijsenaars, Action-angle maps and scattering theory for some finite-dimensional integrable systems , Commun. Math. Phys. 115
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C.F. Dunkl, Differential-difference operators associated to reflection groups , Trans. Amer. Math. Soc. 311
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J.E. Humphreys, Reflection groups and Coxeter groups, Cambridge University Press, 1990
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C. Gonera and P. Kosinski, Calogero model and sl(2,R) algebra , Acta Phys. Polon. B 30
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2009
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2009
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2010
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2010
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P.K. Ghosh and A. Khare, Relationship between the energy eigenstates of Calogero-Sutherland models with oscillator and Coulomb-like potentials , J. Phys. A 32
1999
Cited alongside, same era.
E.G. Kalnins, W. Miller and G.S. Pogosyan, The Coulomb oscillator relation on n-dimensional spheres and hyperboloids , Phys. Atom. Nucl. 65
2002
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A.P. Polychronakos, Physics and mathematics of Calogero particles , J. Phys. A 39
2006
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M. Feigin and T. Hakobyan, On the algebra of Dunkl angular momentum operators , arXiv:1409.2480
Cited in the paper.
2012
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2012
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2012
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M. Feigin, O. Lechtenfeld and A. Polychronakos, The quantum angular Calogero-Moser model , JHEP 1307
2013
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