Towards the topological quantization of classical mechanics

Details Towards the topological quantization of classical mechanics Towards the topological quantization of classical mechanics

2008-01-16

arxiv.org/abs/0801.2422v1

Physics

Mathematical Physics

Scientific paper

We consider the method of topological quantization for conservative systems with a finite number of degrees of freedom. Maupertuis' formalism for classical mechanics provides an appropriate scenario which permit us to adapt the method of topological quantization, originally formulated for gravitational field configurations. We show that any conservative system in classical mechanics can be associated with a principal fiber bundle. As an application of topological quantization we derive expressions for the topological spectra of some simple mechanical systems and show that they reproduce the discrete behavior of the corresponding canonical spectra.

Affiliated with

Also associated with

No associations

Rating

Towards the topological quantization of classical mechanics 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 Towards the topological quantization of classical mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards the topological quantization of classical mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-159518