Spectrum generating algebras for the free motion in S3

被引：11

作者：

Gadella, M. ^{[1
]}

Negro, J. ^{[1
]}

Nieto, L. M. ^{[1
]}

Pronko, G. P. ^{[2
]}

Santander, M. ^{[1
]}

机构：

[1] Univ Valladolid, Fac Ciencias, Dept FTAO, E-47071 Valladolid, Spain

[2] IHEP, Dept Theoret Phys, Protvino 142280, Moscow Region, Russia

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 06期

基金：

俄罗斯科学基金会;

关键词：

KEPLER-PROBLEM; POTENTIALS;

D O I：

10.1063/1.3598407

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct the spectrum generating algebra (SGA) for a free particle in the three-dimensional sphere S-3 for both classical and quantum descriptions. In the classical approach, the SGA supplies time-dependent constants of motion that allow to solve algebraically the motion. In the quantum case, the SGA includes the ladder operators that give the eigenstates of the free Hamiltonian. We study this quantum case from two equivalent points of view. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3598407]

引用

页数：19

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