Skip to main content

All Questions

Filter by
Sorted by
Tagged with
5 votes
1 answer
408 views

Is there a Feynman-Kac formula for vector-valued Schrödinger operators?

Given a vector function $$f=(f_1,\ldots,f_n)\in L^2(\mathbb R,\mathbb R^n)$$ (for some $n\in\mathbb N$), let us define $$\Delta f:=(\Delta f_1,\ldots,\Delta f_n),$$ where $\Delta$ is the Laplacian ...