Feynman path integrals for magnetic Schrödinger operators on infinite weighted graphs

Batu Güneysu, Matthias Keller

We prove a Feynman path integral formula for the unitary group $\exp (-it{L}_{v,\theta })$, $t\ge 0$, associated with a discrete magnetic Schrödinger operator $L_{v,\theta }$ on a large class o…