Constrained Classical Trajectories with Fixed Symplectic Area
Classical Physics
2026-07-07 v1 Chemical Physics
Abstract
We study finite bundles of classical trajectories subject to a fixed symplectic-area condition on their phase-space covariance. We derive constraint forces that preserve this condition with zero bundle-averaged power. Setting fixes only the area scale: the trajectories remain classical, and the finite bundle need not be Gaussian. In the Gaussian large- limit, the centroid and width equations coincide with those of variational Gaussian wave-packet dynamics. Here specifies the finite-bundle representation, not an order in the Moyal expansion or in an expansion.
Cite
@article{arxiv.2607.07734,
title = {Constrained Classical Trajectories with Fixed Symplectic Area},
author = {Taisuke Hasegawa},
journal= {arXiv preprint arXiv:2607.07734},
year = {2026}
}