Problèmes variationnels non convexes en dualité (Équation des coques ; systèmes gyroscopiques)
Spectral asymptotics for Schrödinger operators with a degenerate potential
Trajectoires bornées d'une particule soumise à un champ magnétique symétrique linéaire
Trajectoires bornées d'une particule soumise à un champ magnétique symétrique linéaire
Confinement d'une particule dans un champ magnétique symétrique
Confining quantum particles with a purely magnetic field
We consider a Schrödinger operator with a magnetic field (and no electric field) on a domain in the Euclidean space with a compact boundary. We give sufficient conditions on the behaviour of the magnetic field near the boundary which guarantees essential self-adjointness of this operator. From the physical point of view, it means that the quantum particle is confined in the domain by the magnetic field. We construct examples in the case where the boundary is smooth as well as for polytopes; These...
Essential self-adjointness for combinatorial Schrödinger operators III- Magnetic fields
We define the magnetic Schrödinger operator on an infinite graph by the data of a magnetic field, some weights on vertices and some weights on edges. We discuss essential self-adjointness of this operator for graphs of bounded degree. The main result is a discrete version of a result of two authors of the present paper.
Page 1