Path integrals on manifolds by finite dimensional approximation

Details Path integrals on manifolds by finite dimensional approximation Path integrals on manifolds by finite dimensional approximation

2007-03-09

arxiv.org/abs/math/0703272v1

Mathematics

Analysis of PDEs

23 pages

Scientific paper

Let M be a compact Riemannian manifold without boundary and let H be a self-adjoint generalized Laplace operator acting on sections in a bundle over M. We give a path integral formula for the solution to the corresponding heat equation. This is based on approximating path space by finite dimensional spaces of geodesic polygons. We also show a uniform convergence result for the heat kernels. This yields a simple and natural proof for the Hess-Schrader-Uhlenbrock estimate and a path integral formula for the trace of the heat operator.

Affiliated with

Also associated with

No associations

Rating

Path integrals on manifolds by finite dimensional approximation 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 Path integrals on manifolds by finite dimensional approximation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Path integrals on manifolds by finite dimensional approximation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-693693