TY  - JOUR
A1  - Güneysu, Batu
A1  - Keller, Matthias
T1  - Feynman path integrals for magnetic Schrödinger operators on infinite weighted graphs
T2  - Journal d'analyse mathématique
N2  - We prove a Feynman path integral formula for the unitary group exp(-itL(nu,theta)), t >= 0, associated with a discrete magnetic Schrodinger operator L-nu,L-theta on a large class of weighted infinite graphs. As a consequence, we get a new Kato-Simon estimate 
 vertical bar exp(- itL(nu,theta))(x,y)vertical bar <= exp( -tL(-deg,0))(x,y), 
 which controls the unitary group uniformly in the potentials in terms of a Schrodinger semigroup, where the potential deg is the weighted degree function of the graph.
Y1  - 2020
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/58843
SN  - 0021-7670
SN  - 1565-8538
VL  - 141
IS  - 2
SP  - 751
EP  - 770
PB  - The Magnes Press, the Hebrew Univ.
CY  - Jerusalem
ER  -