• Corpus ID: 11943422

# A Feynman-Kac Formula for Unbounded Semigroups

@article{Simon1999AFF,
title={A Feynman-Kac Formula for Unbounded Semigroups},
author={Barry Simon},
journal={arXiv: Mathematical Physics},
year={1999}
}
• B. Simon
• Published 27 July 1999
• Mathematics
• arXiv: Mathematical Physics
We prove a Feynman-Kac formula for Schrodinger operators with potentials V(x) that obey (for all \epsilon > 0): V(x) \geq - \epsilon |x|^2 - C_\epsilon. Even though e^{-tH} is an unbounded operator, any \phi, \psi \in L^2 with compact support lie in D(e^{-tH}) and is given by a Feynman-Kac formula.

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