On Transformations in the Feynman-Kac Formula and Quantummechanical N-Body Systems

Coordinate transformations in the Feynman-Kac formula are considered. The contractive semigroup with transformed coordinates is expressed by an integral with a correspondingly transformed diffusion measure. This representation is used for N-body systems transformed to clustered Jacobi coordinates implying a decomposition of the Feynman-Kac formula.