The singular coupling limit for a simple pure number process
Wilhelm von Waldenfels · Stochastics · 2011
We consider the strongly continuous unitary one-parameter group on , which is related to the pure number quantum stochastic process restricted to the one-particle subspace . We approximate the Hamiltonian of the group by and go with g to . Then, the approximating unitary group converges to in the strong operator topology with a parameter given explicitly.