2 papers
math-ph2026
Asymptotic solutions: glancing trajectories, Lagrangian singularities, and Bessel cylinders
Ilya Bogaevskii, Michel Rouleux
We find a normal form for the simplest Lagrangian singularity appearing as the projection onto the space-energy of a solution to the Hamilton-Jacobi equation. Using this normal for…
math-ph2023
Lagrangian intersections and glancing points: typical transitions of phase in semiclassical approximations
Ilya Bogaevskii, Michel Rouleux
Given a semiclassical distribution microlocalized on a Lagrangian manifold , , and a regular energy surface, we find asymptotic s…