Canonical Group Quantization, Rotation Generators and Quantum Indistinguishability

Details Canonical Group Quantization, Rotation Generators and Quantum Indistinguishability Canonical Group Quantization, Rotation Generators and Quantum Indistinguishability

2008-06-15

arxiv.org/abs/0806.2449v1

Geometric and Topological Methods for Quantum Field Theory. H. Ocampo, E. Pariguan and S. Paycha (Eds.), pp. 344-367, Cambridg

Physics

Mathematical Physics

19 pages

Scientific paper

Using the method of canonical group quantization, we construct the angular momentum operators associated to configuration spaces with the topology of (i) a sphere and (ii) a projective plane. In the first case, the obtained angular momentum operators are the quantum version of Poincare's vector, i.e., the physically correct angular momentum operators for an electron coupled to the field of a magnetic monopole. In the second case, the obtained operators represent the angular momentum operators of a system of two indistinguishable spin zero quantum particles in three spatial dimensions. We explicitly show how our formalism relates to the one developed by Berry and Robbins. The relevance of the proposed formalism for an advance in our understanding of the spin-statistics connection in non-relativistic quantum mechanics is discussed.

Affiliated with

Also associated with

No associations

Rating

Canonical Group Quantization, Rotation Generators and Quantum Indistinguishability 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 Canonical Group Quantization, Rotation Generators and Quantum Indistinguishability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Canonical Group Quantization, Rotation Generators and Quantum Indistinguishability will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-258490