3 papers
math.SP2026
WKB for semiclassical operators: How to fly over caustics (and more)
San VÅ© Ngoc
The method initiated by Wentzel, Kramers, and Brillouin to find approximate solutions to the Schrödinger equation lies at the origin of the spectacular development of microlocal a…
eess.SP2025
Accurate semiclassical analysis of light propagation on tilted hyperplanes
Patrick Gioia, San Vu Ngoc
In the scalar light model given by Helmholtz' equation in R^{1+d} , we consider the transformation of an initial scene (a hologram) in {0}xR^d by an arbitrary affine transformation…
math-ph2024
The inverse spectral problem for quantum semitoric systems
Yohann Le Floch, San VÅ© Ngoc
Given a quantum semitoric system composed of pseudodifferential operators, Berezin-Toeplitz operators, or a combination of both, we obtain explicit formulas for recovering, from th…