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math-ph2007
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…
math-ph2006★ 4 cited
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…