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math-ph2023
Feynman path integrals on compact Lie groups with bi-invariant Riemannian metrics
Nicoló Drago, Sonia Mazzucchi, Valter Moretti
In this work we consider a suitable generalization of the Feynman path integral on a specific class of Riemannian manifolds consisting of compact Lie groups with bi-invariant Riema…
math-ph2019
A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field
Sergio Albeverio, Nicolò Cangiotti, Sonia Mazzucchi
A Feynman path integral formula for the Schrödinger equation with magnetic field is rigorously mathematically realized in terms of infinite dimensional oscillatory integrals. We sh…