Abstract:
A family of Hamiltonians generating the dynamics of a quantum particle
evolving in an array of localized quantum scatterers
with a finite number of internal degrees of freedom is presented. We use
such kind of Hamiltonians to build up models of (almost) solvable quantum
environments in order to investigate the dynamics of the entanglement and
the onset of a classical behavior in in quantum systems. The main
technical tool we utilize is a modern version of the theory of
self-adjoint extensions of symmetric operators