TY - JOUR

T1 - Spherical Calogero model with oscillator/Coulomb potential

T2 - Quantum case

AU - Correa, Francisco

AU - Hakobyan, Tigran

AU - Lechtenfeld, Olaf

AU - Nersessian, Armen

N1 - Funding Information: T.H. and A.N. were partially supported by the Armenian State Committee of Science Grants No.15RF-039 and No.15T-1C367, and by Grant No.mathph-4220 of the Armenian National Science and Education Fund based in New York (ANSEF). The work of T.H. and A.N. was done within the ICTP programs NET68 and OEA-AC-100 and within the program of Regional Training Networks on Theoretical Physics by VolkswagenStiftung Contract No.86 260. The work of F.C. is supported by the Alexander von Humboldt Foundation under Grant No.CHL 1153844 STP. Publisher Copyright: © 2016 American Physical Society. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2016/6/7

Y1 - 2016/6/7

N2 - We consider the quantum mechanics of Calogero models in an oscillator or Coulomb potential on the N-dimensional sphere. Their Hamiltonians are obtained by an appropriate Dunkl deformation of the oscillator/Coulomb system on the sphere and its restriction to (Coxeter reflection) symmetric wave functions. By the same method we also find the symmetry generators and compute their algebras.

AB - We consider the quantum mechanics of Calogero models in an oscillator or Coulomb potential on the N-dimensional sphere. Their Hamiltonians are obtained by an appropriate Dunkl deformation of the oscillator/Coulomb system on the sphere and its restriction to (Coxeter reflection) symmetric wave functions. By the same method we also find the symmetry generators and compute their algebras.

UR - http://www.scopus.com/inward/record.url?scp=84974623049&partnerID=8YFLogxK

U2 - 10.1103/physrevd.93.125009

DO - 10.1103/physrevd.93.125009

M3 - Article

AN - SCOPUS:84974623049

VL - 93

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 12

M1 - 125009

ER -