Canonical groups for quantization on the two-dimensional sphere and one-dimensional complex projective space

• Main Authors: Ahamad Sumadi, Ahmad Hazazi, Zainuddin, Hishamuddin
• Format: Article
• Language: English
• Published: Institute of Physics Publishing 2014
• Online Access: http://psasir.upm.edu.my/id/eprint/36698/1/Canonical%20Groups%20for%20Quantization%20on%20the%20Two-Dimensional%20Sphere%20and%20One-Dimensional%20Complex%20Projective%20Space.pdf; http://psasir.upm.edu.my/id/eprint/36698/; http://iopscience.iop.org/article/10.1088/1742-6596/553/1/012005/meta;jsessionid=84196562F908B70DDA8727A7709516BF.c1.iopscience.cld.iop.org#
• Institution: Universiti Putra Malaysia

Using Isham's group-theoretic quantization scheme, we construct the canonical groups of the systems on the two-dimensional sphere and one-dimensional complex projective space, which are homeomorphic. In the first case, we take SO(3) as the natural canonical Lie group of rotations of the two-sph...