THE INTERACTING-FREE QUANTUM STOCHASTIC LIMIT OF QUANTUM-FIELD THEORY

The Quantum Stochastic Limit of a quantum mechanic particle coupled to a quantum field without the neglect of the response details oi the in teraction (i.e., not making the dipole approximation) is made followin g the scheme of Accardi and Lu and the corresponding Quantum Stochasti c Structure is derived. The stochastic sector for the noise is constru cted and is shown to be of a qualitatively new type. We also include a physical discussion on the limit noise which obeys Interacting-Free s tatistics and include a new shorter proof of the noise convergence and also a new construction of Interacting-Free Fock Space. (C) 1997 Amer ican Institute of Physics.