We consider the motion of a non relativistic quantum particle in R 3 subject to n point interactions which are moving on given smooth trajec-tories. Due to the singular character of theâ€¦ (More)

We consider a non relativistic quantum system consisting of K heavy and N light particles in dimension three, where each heavy particle interacts with the light ones via a two-body potential Î±V. Noâ€¦ (More)

We analyze a quantum system consisting of a particle travelling in a model-environment made up of a localised two-level subsystems. We examine the dynamics of the entanglement through which theâ€¦ (More)

We analyze a one dimensional quantum system consisting of a test particle interacting with two harmonic oscillators placed at the positions a1, a2, with a1 > 0, |a2| > a1, in the two possibleâ€¦ (More)

We consider a system realized with one spinless quantum particle and an array of N spins 1/2 in dimension one and three. We characterize all the Hamiltonians obtained as point perturbations of anâ€¦ (More)

We construct as a selfadjoint operator the Schroedinger hamiltonian for a system of N identical particles on a plane, obeying the statistics deened by a representation 1 of the braid group. We useâ€¦ (More)

Making use of recent techniques in the theory of selfadjoint extensions of symmetric operators, we characterize the class of point interaction Hamiltonians in a 3-D bounded domain with regularâ€¦ (More)

We consider a simple model of a cloud chamber consisting of a test particle (the Î±-particle) interacting with two other particles (the atoms of the vapour) subject to attractive potentials centeredâ€¦ (More)

In dimension d = 1, 2, 3 we define a family of two-channel Hamiltonians obtained as point perturbations of the generator of the free decoupled dynamics. Within the family we choose two Hamiltonians,â€¦ (More)

A one dimensional system made up of a compressible fluid and several mechanical oscillators, coupled to the acoustic field in the fluid, is analyzed for different settings of the oscillators array.â€¦ (More)