Codice QDD 180 Titolo The Hamiltonian generating Quantum Stochastic Evolutions in the limit from Repeated to Continuous Interactions Data 2014-05-08 Autore/i Gregoratti, M. Link Download full text Abstract We consider a quantum stochastic evolution in continuous time defined by the quantum stochastic differential equation of Hudson and Parthasarathy. On one side, such an evolution can be defined also by a standard Schroedinger equation with a singular and unbounded Hamiltonian operator K. On the other side, such an evolution can be obtained also as a limit from Hamiltonian repeated interactions in discrete time. We study how the structure of the Hamiltonian K emerges in the limit from repeated to continuous interactions. We present results in the case of 1-dimensional multiplicity and system spaces, where calculations can be explicitly performed, and the proper formulation of the problem can be discussed.