Abstract
We give an expression for the perturbed evolution of a free evolution by gentle, possibly velocity dependent, potential, in terms of the expectation with respect to a Poisson process on a group. Various applications are given in particular to usual quantum mechanics but also to Fermi and spin systems.
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Communicated by H. Araki
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Combe, P., Høegh-Krohn, R., Rodriguez, R. et al. Poisson processes on groups and Feynman path integrals. Commun.Math. Phys. 77, 269–288 (1980). https://doi.org/10.1007/BF01269924
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DOI: https://doi.org/10.1007/BF01269924