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math.AP2009★ 1 cited
Spectral projection, residue of the scattering amplitude, and Schrodinger group expansion for barrier-top resonances
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
We study the spectral projection associated to a barrier-top resonance for the semiclassical Schrodinger operator. First, we prove a resolvent estimate for complex energies close t…
math.AP2006★ 1 cited
Microlocal kernel of pseudodifferential operators at an hyperbolic fixed point
J. -F. Bony, S. Fujiie, T. Ramond +1
We study the microlocal kernel of h-pseudodifferential operators P(x,hD)-z, where z belongs to some neighborhood of size O(h) of a critical value of its principal symbol. We suppos…
math.AP2005
Semiclassical resonances for a two-level Schrödinger operator with a conical intersection
S. Fujiie, C. Lasser, L. Nedelec
We study the resonant set of a two-level Schrödinger operator with a linear conical intersection. This model operator can be decomposed into a direct sum of first order systems on…