4 citations · 4 across the 2 of their papers we have counts for
4 papers · 1 filter
Confining quantum particles with a purely magnetic field
Yves Colin De Verdière, Francoise Truc
We consider an open domain with a compact boundary in an Euclidean space and a Schroedinger operator with magnetic field on this domain. We give sufficient conditions on the rate o…
Born-Oppenheimer-type Approximations for Degenerate Potentials: Recent Results and a Survey on the area
Francoise Truc
This paper is devoted to the asymptotics of eigenvalues for a Schrö-dinger operator in the case when the potential V does not tend to infinity at infinity. Such a potential is call…
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…