Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-07-12
Phys.Lett. B336 (1994) 388-394
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, INS-Rep.-1042
Scientific paper
10.1016/0370-2693(94)90549-5
A quantum theory is constructed for the system of a relativistic particle with mass m moving freely on the SL(2,R) group manifold. Applied to the cotangent bundle of SL(2,R), the method of Hamiltonian reduction allows us to split the reduced system into two coadjoint orbits of the group. We find that the Hilbert space consists of states given by the discrete series of the unitary irreducible representations of SL(2,R), and with a positive-definite, discrete spectrum.
No associations
LandOfFree
Quantization of a relativistic particle on the SL(2,R) manifold based on Hamiltonian reduction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantization of a relativistic particle on the SL(2,R) manifold based on Hamiltonian reduction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantization of a relativistic particle on the SL(2,R) manifold based on Hamiltonian reduction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-620606