Description
In this talk, I will introduce my ongoing research on the existence of periodic orbits in first-order approximations to quantum mechanics. Our goal is to investigate how Floer theory can be applied to quantum physics. By adding a stochastic sector to the fields in our classical system, it becomes equivalent to Wigner-Weyl quantum mechanics up to first order in $\hbar$. The most famous example of such a model is stochastic electrodynamics (SED). We attempt to combine prior results in Floer theory (Fabert-Lamoree, 2023; Fabert, 2024) to find periodic solutions in the stochastic particle-field model.