-linear operators in quantum mechanics and in economy.
Scattering theory for plektons in 2 + 1 dimensions
Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field
We consider the zigzag half-nanotubes (tight-binding approximation) in a uniform magnetic field which is described by the magnetic Schrödinger operator with a periodic potential plus a finitely supported perturbation. We describe all eigenvalues and resonances of this operator, and theirs dependence on the magnetic field. The proof is reduced to the analysis of the periodic Jacobi operators on the half-line with finitely supported perturbations.
Semiclassical Resonances and trace formulae for non-semi-bounded Hamiltonians
Semiclassical scattering by the Coulomb potential
Series of iterated quantum stochastic integrals
Simboli di Operatori e Limite Classico della Funzione di Wigner
Some results about dissipativity of Kolmogorov operators
Given a Hilbert space with a Borel probability measure , we prove the -dissipativity in of a Kolmogorov operator that is a perturbation, not necessarily of gradient type, of an Ornstein-Uhlenbeck operator.
Some spectral properties of the streaming operator with general boundary conditions
This paper deals with the spectral study of the streaming operator with general boundary conditions defined by means of a boundary operator . We study the positivity and the irreducibility of the generated semigroup proved in [M. Boulanouar, L’opérateur d’Advection: existence d’un -semi-groupe (I), Transp. Theory Stat. Phys. 31, 2002, 153–167], in the case . We also give some spectral properties of the streaming operator and we characterize the type of the generated semigroup in terms of the...
Spectral analysis of relativistic atoms -- Dirac operators with singular potentials.
Spectral properties of the spin-boson hamiltonian
Spectral theory of corrugated surfaces
We discuss spectral and scattering theory of the discrete laplacian limited to a half-space. The interesting properties of such operators stem from the imposed boundary condition and are related to certain phenomena in surface physics.
Stability of matter in classical and quantized fields.
Stability of the Brown-Ravenhall operator.
Standard generalized vectors for partial O*-algebras
Stark resonances for random potentials of Anderson type
Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators
Study of a viscoelastic frictional contact problem with adhesion
We consider a quasistatic frictional contact problem between a viscoelastic body with long memory and a deformable foundation. The contact is modelled with normal compliance in such a way that the penetration is limited and restricted to unilateral constraint. The adhesion between contact surfaces is taken into account and the evolution of the bonding field is described by a first order differential equation. We derive a variational formulation and prove the existence and uniqueness result of the...