Thin layer quantization in higher dimensions and codimensions

Details Thin layer quantization in higher dimensions and codimensions Thin layer quantization in higher dimensions and codimensions

2005-08-15

arxiv.org/abs/quant-ph/0508111v3

Journal of Mathematical Physics, Vol. 47, No. 8, 082105 (2006)

Physics

Quantum Physics

14 pages; minor clarifications

Scientific paper

10.1063/1.2213787

We consider the thin layer quantization with use of only the most elementary notions of differential geometry. We consider this method in higher dimensions and get an explicit formula for quantum potential. For codimension 1 surfaces the quantum potential is presented in terms of principal curvatures, and equivalence with Prokhorov quantization method is proved. It is shown that, in contrast with original da Costa method, Prokhorov quantization can be generalized directly to higher codimensions.

Affiliated with

Also associated with

No associations

Rating

Thin layer quantization in higher dimensions and codimensions 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 Thin layer quantization in higher dimensions and codimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thin layer quantization in higher dimensions and codimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-138554