71 citations · 284 across the 32 of their papers we have counts for
36 papers
Semiclassical Birkhoff-Gustavson normal forms and spectral asymptotics for nearly resonant Schrödinger operators
Abdelkader Bourebai, Kaoutar Ghomari, San Vu Ngoc
The concept of near resonances for harmonic approximations of semiclassical Schrödinger operators is introduced and explored. Combined with a natural extension of the Birkhoff-Gust…
Boundary states of the Robin magnetic Laplacian
Rayan Fahs, Loïc Le Treust, Nicolas Raymond +1
This article tackles the spectral analysis of the Robin Laplacian on a smooth bounded two-dimensional domain in the presence of a constant magnetic field. In the semiclassical limi…
On the symplectic geometry of singularities
Nikolay Martynchuk, San Vũ Ngoc
This paper presents a complete symplectic classification of Hamiltonians on , in the analytic and smooth categories. Precisely, consider the pair consis…
Eigenvalue asymptotics for confining magnetic Schrödinger operators with complex potentials
Léo Morin, Nicolas Raymond, San Vu Ngoc
This article is devoted to the spectral analysis of the electro-magnetic Schrödinger operator on the Euclidean plane. In the semiclassical limit, we derive a pseudo-differential ef…
Quantum footprints of Liouville integrable systems
San Vu Ngoc
We discuss the problem of recovering geometric objects from the spectrum of a quantum integrable system. In the case of one degree of freedom, precise results exist. In the general…
Magnetic WKB constructions on surfaces
Yannick Guedes Bonthonneau, Tho Nguyen Duc, Nicolas Raymond +1
This article is devoted to the description of the eigenvalues and eigenfunctions of the magnetic Laplacian in the semiclassical limit via the complex WKB method. Under the assumpti…