Quantum stochastic equation for the low density limit
Luigi Accardi, Alexander Nikolaevich Pechen, Igor Vasil'evich Volovich · Journal of Physics A Mathematical and General · 2002
A new derivation of the quantum stochastic differential equation for the evolution operator in the low density limit is presented. We use the distribution approach and derive a new algebra for quadratic master fields in the low density limit by using the energy representation. We formulate the stochastic golden rule in the low density limit case for a system coupling with a Bose field via quadratic interaction. In particular, the vacuum expectation value of the evolution operator is computed and its exponential decay is shown.