Resonances in Models of Spin Dependent Point Interactions (2008)
Cacciapuoti, Claudio, Carlone, Raffaele, Figari, Rodolfo
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,...
Claudio Cacciapuoti, Pavel Exner
In distinction to the Neumann case the squeezing limit of a Dirichlet network leads in the threshold region generically to a quantum graph with disconnected edges, exceptions may come from threshold...
Nontrivial edge coupling from a Dirichlet network squeezing: the case of a bent waveguide (2007)
Cacciapuoti, Claudio, Exner, Pavel
In distinction to the Neumann case the squeezing limit of a Dirichlet network leads in the threshold region generically to a quantum graph with disconnected edges, exceptions may come from threshold...
A solvable model of a tracking chamber (2007)
Cacciapuoti, Claudio, Carlone, Raffaele, Figari, Rodolfo
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 the...
Coupling in the singular limit of thin quantum waveguides (2006)
Albeverio, Sergio, Cacciapuoti, Claudio, Finco, Domenico
We analyze the problem of approximating a smooth quantum waveguide with a quantum graph. We consider a planar curve with compactly supported curvature and a strip of constant width around the curve....
Spin dependent point potentials in one and three dimensions (2006)
Cacciapuoti, Claudio, Carlone, Raffaele, Figari, Rodolfo
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 an...
Point Interactions in Quantum Mechanics and Acoustics (2006)
È stato studiato un problema di scattering tra due particelle che interagiscono tramite un potenziale puntuale in tre dimensioni nel limite in cui una particella ha massa molto minore dell’altra....