8 citations · 12 across the 4 of their papers we have counts for
6 papers
Semiclassical analysis for a Schrödinger operator with a U(2) artificial gauge: the periodic case
Abderemane Morame, Francoise Truc
We consider a Schrödinger operator with a Hermitian 2x2 matrix-valued potential which is lattice periodic and can be diagonalized smoothly on the whole In the case of potent…
Counting function of the embedded eigenvalues for some manifold with cusps, and magnetic Laplacian
Abderemane Morame, Francoise Truc
We consider a non compact, complete manifold {\bf{M}} of finite area with cuspidal ends. The generic cusp is isomorphic to with metric $ds^2=(h+dy^2)/…
Eigenvalues of Laplacian with constant magnetic field on non-compact hyperbolic surfaces with finite area
Abderemane Morame, Francoise Truc
We consider a magnetic Laplacian on a noncompact hyperbolic surface $\mM $ with finite area. is a real one-form and the magnetic field is consta…
Magnetic bottles on geometrically finite hyperbolic surfaces
Abderemane Morame, Francoise Truc
We consider a magnetic Laplacian on a geometrically finite hyperbolic surface, when the corresponding magnetic field is infinite at the boundary at infinity. We prove that the coun…
Magnetic bottles on the Poincaré half-plane: spectral asymptotics
Abderemane Morame, Francoise Truc
We consider a magnetic laplacian P(A) on the Poincaré half-plane, when the magnetic field dA is infinite at infinity such that P(A) has pure discret spectrum. We give the asymptoti…
Accuracy on eigenvalues for a Schrodinger operator with a degenerate potential in the semi-classical limit
Abderemane Morame, Francoise Truc
We consider a semi-classical Schrodinger operator with a degenerate potential V(x,y) =f(x) g(y) . g is assumed to be a homogeneous positive function of m variables and f is a stric…