From Feynman-Vernon to Wiener Stochastic Path Integral

• URL: http://arxiv.org/abs/2602.00258v1
• Date: Fri, 30 Jan 2026 19:21:36 GMT
• Title: From Feynman-Vernon to Wiener Stochastic Path Integral
• Authors: Antonio Camurati, Felipe Sobrero, Bruno Suassuna, Pedro V. Paraguassú,
• Abstract summary: We show a direct connection between the Feynman-Vernon path integralism for open quantum systems and the Wiener integral path used in classical dynamics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We establish a direct connection between the Feynman-Vernon path integral formalism for open quantum systems and the Wiener path integral used in classical stochastic dynamics. By considering a generalized influence functional in the strong decoherence limit, we demonstrate that integrating over the quantum coherence length leads to a derivation of stochastic Langevin dynamics. Specifically, we show that the quantum Feynman measure transforms into the stochastic Wiener measure. Applying this framework to the Wigner function representation, we show that the system follows a stochastic path interpretable via classical probability theory. Finally, we address the inverse problem: constructing an equivalent quantum influence functional from a given classical Langevin equation.

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