F Kuipers - Journal of High Energy Physics, 2021 - Springer
A bstract We embed Nelson's theory of stochastic quantization in the Schwartz-Meyer second order geometry framework. The result is a non-perturbative theory of quantum …
Stochastic mechanics is a theory that holds great promise in resolving the mathematical and interpretational issues encountered in the canonical and path integral formulations of …
J Erlich - Classical and Quantum Gravity, 2018 - iopscience.iop.org
We present a stochastic framework for emergent quantum gravity coupled to matter. The Hamiltonian constraint in diffeomorphism-invariant theories demands the identification of a …
F Kuipers - Journal of Mathematical Physics, 2021 - pubs.aip.org
It was shown recently that stochastic quantization can be made into a well defined quantization scheme on (pseudo-) Riemannian manifolds using second order differential …
F Kuipers - Journal of Mathematical Physics, 2022 - pubs.aip.org
We study a (relativistic) Wiener process on a complexified (pseudo-) Riemannian manifold. Using Nelson's stochastic quantization procedure, we derive three equivalent descriptions …
We consider a quantum Langevin kinetic equation for a system of fermions. We first derive the Langevin force noise correlation functions in Landau's Fermi-liquid kinetic theory from …
Recently, the properties of bouncing oil droplets, also known as “walkers,” have attracted much attention because they are thought to offer a gateway to a better understanding of …
RR Silva, A Figueiredo - Journal of Physics A: Mathematical and …, 2023 - iopscience.iop.org
Synge's problem consists in determining the dynamics of two point electrical charges interacting through their electromagnetic fields, without taking into account the radiation …
ZM Wang, SL Wu, MS Byrd, LA Wu - arXiv preprint arXiv:2411.17197, 2024 - arxiv.org
The precise characterization of dynamics in open quantum systems often presents significant challenges, leading to the introduction of various approximations to simplify a …