2 citations · 4 across the 4 of their papers we have counts for
5 papers
Eigenvalue splitting for a system of Schrödinger operators with an energy-level crossing
Marouane Assal, Setsuro Fujiié
We study the asymptotic distribution of the eigenvalues of a one-dimensional two-by-two semiclassical system of coupled Schrödinger operators in the presence of two potential wells…
Widths of resonances above an energy-level crossing
Setsuro Fujiié, André Martinez, Takuya Watanabe
We study the existence and location of the resonances of a semiclassical system of coupled Schrödinger operators, in the case where the two electronic levels cross at s…
Semiclassical WKB problem for the non-self-adjoint Dirac operator with analytic potential
Setsuro Fujiié, Spyridon Kamvissis
In this paper we examine the semiclassical behaviour of the scattering data of a non-self-adjoint Dirac operator with analytic potential decaying at infinity. In particular, employ…
Semiclassical Trace Formula and Spectral Shift Function for Systems via a Stationary Approach
Marouane Assal, Mouez Dimassi, Setsuro Fujiié
We establish a semiclassical trace formula in a general framework of microhyperbolic hermitian systems of -pseudodifferential operators, and apply it to the study of the spectra…
Molecular predissociation resonances at an energy-level crossing
Setsuro Fujiié, André Martinez, Takuya Watanabe
We study the resonances of a two-by-two semiclassical system of one dimensional Schrödinger operators, near an energy where the two potentials intersect transversally, one of them…