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math.AP2026
Edge modes generated by intersection between 3 energy bands
Clotilde Fermanian Kammerer, Nicolas Frantz
In this contribution, we investigate 2-dimensional model problems of three coupled equations. We assume that the underlying Hamiltonian presents a symmetric intersection between th…
math.AP2025
Asymptotic initial value representation of the solutions of semi-classical systems presenting smooth codimension one crossings
Clotilde Fermanian Kammerer, Caroline Lasser, Didier Robert
This paper is devoted to the construction of approximations of the propagator associated with a semi-classical matrix-valued Schrödinger operator with symbol presenting smooth eig…
math.AP2024
Semi-classical analysis
Clotilde Fermanian Kammerer, Jérôme Le Rousseau
We introduce three representative topics in semi-classical analysis. Starting from the correspondence between classical and quantum mechanics, basic semi-classical analysis tools a…