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Constrained Classical Trajectories with Fixed Symplectic Area

Classical Physics 2026-07-07 v1 Chemical Physics

Abstract

We study finite bundles of NN 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 κ=2/4\kappa = \hbar^2/4 fixes only the area scale: the trajectories remain classical, and the finite bundle need not be Gaussian. In the Gaussian large-NN limit, the centroid and width equations coincide with those of variational Gaussian wave-packet dynamics. Here NN specifies the finite-bundle representation, not an order in the Moyal expansion or in an \hbar 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}
}