Add to ORKGWe consider the Dirichlet Laplacian with a constant magnetic field in a two-dimensional domain of finite measure. We determine the sharp constants in semi-classical eigenvalue estimates and show, in particular, that Pόlya's conjecture is not true in the presence of a magnetic field
We prove that for any domain in the Heisenberg group the (k+1)'th Neumann eigenvalue of the sub-Lapl...
We study the Laplacian with zero magnetic field acting on complex functions of a planar domain Ω, wi...
We deal with Dirac operators with external homogeneous magnetic fields. Hardy-type inequalities rela...
We consider the Dirichlet Laplacian with a constant magnetic field in a two-dimensional domain of fi...
We prove semi-classical estimates on moments of eigenvalues of the Aharonov-Bohm operator in bounded...
Inequalities are derived for sums and quotients of eigenvalues of magnetic Schrödinger operators wit...
Inequalities are derived for sums and quotients of eigenvalues of magnetic Schrödinger operators wit...
International audienceWe consider a magnetic laplacian P(A) on the Poincaré half-plane, when the mag...
28 pagesInternational audienceThis paper is devoted to the spectral analysis of the magnetic Neumann...
International audienceWe consider a magnetic Laplacian $-\Delta_A=(id+A)^\star (id+A)$ on a noncompa...
25 pagesInternational audienceIn this paper we investigate the semiclassical behavior of the lowest ...
We study the Schrodinger operator with a constant magnetic field in the exterior of a compact domain...
We consider a Schrödinger operator ( hD − A )^2 with a positive magnetic field B = curlA in a domain...
We consider a Schrödinger operator ( hD − A )^2 with a positive magnetic field B = curlA in a domain...
We prove that for any domain in the Heisenberg group the (k+1)'th Neumann eigenvalue of the sub-Lapl...
We prove that for any domain in the Heisenberg group the (k+1)'th Neumann eigenvalue of the sub-Lapl...
We study the Laplacian with zero magnetic field acting on complex functions of a planar domain Ω, wi...
We deal with Dirac operators with external homogeneous magnetic fields. Hardy-type inequalities rela...
We consider the Dirichlet Laplacian with a constant magnetic field in a two-dimensional domain of fi...
We prove semi-classical estimates on moments of eigenvalues of the Aharonov-Bohm operator in bounded...
Inequalities are derived for sums and quotients of eigenvalues of magnetic Schrödinger operators wit...
Inequalities are derived for sums and quotients of eigenvalues of magnetic Schrödinger operators wit...
International audienceWe consider a magnetic laplacian P(A) on the Poincaré half-plane, when the mag...
28 pagesInternational audienceThis paper is devoted to the spectral analysis of the magnetic Neumann...
International audienceWe consider a magnetic Laplacian $-\Delta_A=(id+A)^\star (id+A)$ on a noncompa...
25 pagesInternational audienceIn this paper we investigate the semiclassical behavior of the lowest ...
We study the Schrodinger operator with a constant magnetic field in the exterior of a compact domain...
We consider a Schrödinger operator ( hD − A )^2 with a positive magnetic field B = curlA in a domain...
We consider a Schrödinger operator ( hD − A )^2 with a positive magnetic field B = curlA in a domain...
We prove that for any domain in the Heisenberg group the (k+1)'th Neumann eigenvalue of the sub-Lapl...
We prove that for any domain in the Heisenberg group the (k+1)'th Neumann eigenvalue of the sub-Lapl...
We study the Laplacian with zero magnetic field acting on complex functions of a planar domain Ω, wi...
We deal with Dirac operators with external homogeneous magnetic fields. Hardy-type inequalities rela...