paper

Three useful bounds in quantum mechanics - easily obtained by Wiener integration

arXiv:0810.2495 · doi:10.1142/9789812837271_0008

Abstract

In a reasonably self-contained and explicit presentation we illustrate the efficiency of the Feynman-Kac formula for the rigorous derivation of three inequalities of interest in non-relativistic quantum mechanics.

To be published (in shortened and different form) by World Scientific in the proceedings of a conference on path integrals in Dresden 09/2007. Eds.: W. Janke and A. Pelster