Probabilistic Representation and Fall-Off of Bound States of Relativistic Schrödinger Operators with Spin 1/2
Probabilistic Representation and Fall-Off of Bound States of Relativistic Schrödinger Operators with Spin 1/2
A Feynman–Kac type formula for relativistic Schrödinger operators with unbounded vector potential and spin 1=2 is given in terms of a three-component process consisting of a Brownian motion, a Poisson process and a subordinator. This formula is obtained for unbounded magnetic fields and magnetic fields with zeros. From this formula …