Towards a gauge theory for evolution equations on vector-valued spaces

Details Towards a gauge theory for evolution equations on vector-valued spaces Towards a gauge theory for evolution equations on vector-valued spaces

2009-02-23

arxiv.org/abs/0902.3833v5

J.Math.Phys.50:103520,2009

Physics

Mathematical Physics

8 pages

Scientific paper

10.1063/1.3227666

We investigate symmetry properties of vector-valued diffusion and Schr\"odinger equations. For a separable Hilbert space $H$ we characterize the subspaces of $L^2(\Omega, H)$ that are local (i.e., defined pointwise) and discuss the issue of their invariance under the time evolution of the differential equation. In this context, the possibility of a connection between our results and the theory of gauge symmetries in mathematical physics is explored.

Affiliated with

Also associated with

No associations

Rating

Towards a gauge theory for evolution equations on vector-valued 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 Towards a gauge theory for evolution equations on vector-valued spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards a gauge theory for evolution equations on vector-valued spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583951