Spectrum generating algebras for the free motion in <i>S</i>3
Spectrum generating algebras for the free motion in <i>S</i>3
We construct the spectrum generating algebra (SGA) for a free particle in the three-dimensional sphere S3 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 …