Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894059 | Journal of Geometry and Physics | 2010 | 14 Pages |
Abstract
Methods from stochastic analysis are combined with functional analytic methods in order to prove a Feynman–Kac formula för Schrödinger type operators with nonnegative locally square integrable potentials on vector bundles over complete Riemannian manifolds. In particular, we obtain a Feynman–Kac–Itô formula on manifolds for Schrödinger operators with magnetic fields.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Batu Güneysu,