Quantisation on general spaces

Details Quantisation on general spaces Quantisation on general spaces

2002-11-08

arxiv.org/abs/quant-ph/0211039v1

Physics

Quantum Physics

7 pages. No figures

Scientific paper

Quantisation on spaces with properties of curvature, multiple connectedness and non orientablility is obtained. The geodesic length spectrum for the Laplacian operator is extended to solve the Schroedinger operator. Homotopy fundamental group representations are used to obtain a direct sum of Hilbert spaces, with a Holonomy method for the non simply connected manifolds.The covering spaces of isometric and hence isospectral manifolds are used to obtain the representation of states on orientable and non orientable spaces. Problems of deformations of the operators and the domains are discussed.Possible applications of the geometric and topological effects in physics are mentioned.

Affiliated with

Also associated with

No associations

Rating

Quantisation on general spaces 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 Quantisation on general spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantisation on general spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-470174