3 papers
math-ph2025
Non-Symplectic Deformations of Geometric Quantisation
Kerr Maxwell
We introduce the notion of geometric pseudo-quantisation based on geometric quantisation with a weakened curvature condition. We show how such a structure arises naturally from sim…
physics.optics2025
Structured Gaussians From Geometric Quantisation
Kerr Maxwell
We develop a geometric description of structured Gaussian beams, a form a structured light, by applying geometric quantisation and symplectic reduction to the 2D harmonic oscillato…
physics.optics2024
Stochastic Stokes origami: folds, cusps and skyrmionic facets in random polarisation fields
Kerr Maxwell, Mark R Dennis
We consider the jacobian of a random transverse polarisation field, from the transverse plane to the Poincaré sphere, as a Skyrme density partially covering the sphere. Connected…