Spherical Calogero model with oscillator/Coulomb potential: Quantum case

被引：11

作者：

Correa, Francisco ^{[1
,2
]}

Hakobyan, Tigran ^{[3
,4
]}

Lechtenfeld, Olaf ^{[1
]}

Nersessian, Armen ^{[3
,4
]}

机构：

[1] Leibniz Univ Hannover, Appelstr 2, D-30167 Hannover, Germany

[2] Univ Austral Chile, Inst Ciencias Fis & Matemat, Casilla 567, Valdivia, Chile

[3] Yerevan State Univ, 1 Alex Manoogian St, Yerevan 0025, Armenia

[4] Tomsk Polytech Univ, Lenin Ave 30, Tomsk 634050, Russia

来源：

PHYSICAL REVIEW D | 2016年 / 93卷 / 12期

关键词：

N-BODY PROBLEM; INTEGRABLE SYSTEMS; DYNAMICAL SYMMETRIES;

D O I：

10.1103/PhysRevD.93.125009

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：6

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