Quantum Theory on Lobatchevski Spaces

Details Quantum Theory on Lobatchevski Spaces Quantum Theory on Lobatchevski Spaces

2007-09-18

arxiv.org/abs/0709.2795v1

Class.Quant.Grav.24:3571-3602,2007

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/0264-9381/24/14/003

In this paper we set up a general formalism to deal with quantum theories on a Lobatchevski space, i.e. a spatial manifold that is homogeneous, isotropic and has negative curvature. The heart of our approach is the construction of a suitable basis of plane waves which are eigenfunctions of the Laplace-Beltrami operator relative to the geometry of the curved space. These functions were previously introduced in the mathematical literature in the context of group theory; here we revisit and adapt the formalism in a way specific for quantum mechanics. Our developments render dealing with Lobatchevski spaces, which used to be quite difficult and source of controversies, easily tractable. Applications to the Milne and de Sitter universes are discussed as examples.

Affiliated with

Also associated with

No associations

Rating

Quantum Theory on Lobatchevski 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 Quantum Theory on Lobatchevski Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Theory on Lobatchevski Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-456748