Titlebook: Quantum Theory and Its Stochastic Limit; Luigi Accardi,Igor Volovich,Yun Gang Lu Book 2002 Springer-Verlag Berlin Heidelberg 2002 Collecti

引導(dǎo)

Anticonvulsants

Functional Integral Approach to the Stochastic Limitunctional integral approach can be used to derive the stochastic limit. In other words, we consider the basic formula for the stochastic limit of a scalar field, . in the functional integral approach. We shall use freely the functional integral formalism, assuming that the reader is familiar with it

invulnerable

Anthropoid

Reservation

1FAWN

Field—Field Interactions discrete system. The basic object to study in quantum field theory is the S-matrix introduced by Heisenberg. Bogoliubov and Shirkov developed the S-matrix formalism which includes all the quantities considered in quantum field theory [BoSch87]. The physical idea behind the S-matrix approach is that

不可思議

泥土謙卑

Particles Interacting with a Boson Fieldr theory, etc.) this amounts to replacing the dipole approximation by a multipole expansion. These approximations however break momentum conservation, and we shall see that by introducing them one loses information on some subtle cancella- tions which occur due to fast oscillations.

Agility

Field—Field Interactions in the scattering processes there exists a characteristic time scale such that in a time regime larger then this time scale one can neglect interaction and particles evolve according to the free dynamics.

BET

Spin—Boson Systems to the investigation of the stochastic limit for the general spin—boson Hamiltonian, describing a discrete system coupled with a boson field. The spin—boson Hamiltonian is widely used in physics [4], in studying quantum computing [Vol99], in studying stochastic resonance. [AcKoVo97, Gam98, Gri98, ImYuOh99] , etc.