-cross products and a generalized quantum mechanical -body problem.
Caractérisation du spectre essentiel de l'opérateur de Schrödinger avec un champ magnétique
Circular operators related to some quantum observables
Circular operators related to the operator of multiplication by a homomorphism of a locally compact abelian group and its restrictions are completely characterized. As particular cases descriptions of circular operators related to various quantum observables are given.
Comment on ”Non-Hermitian quantum mechanics with minimal length uncertainty”.
Comments on the dynamics of the Pais-Uhlenbeck oscillator.
Comparaison entre la décroissance de fonctions propres pour les opérateurs de Dirac et de Klein-Gordon. Application à l'étude de l'effet tunnel
Comportement semi classique du spectre d'un hamiltonien quantique
Conditions equivalent to C* independence
Let and be mutually commuting unital C* subalgebras of (). It is shown that and are C* independent if and only if for all natural numbers n, m, for all n-tuples A = (A₁, ..., Aₙ) of doubly commuting nonzero operators of and m-tuples B = (B₁, ..., Bₘ) of doubly commuting nonzero operators of , , where Sp denotes the joint Taylor spectrum.
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...
Cryptohermitian picture of scattering using quasilocal metric operators.
Curves of maximum modulus in coherent state representations