引导 发表于 2025-3-28 15:49:14
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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 itinvulnerable 发表于 2025-3-29 00:15:33
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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 . The physical idea behind the S-matrix approach is that不可思议 发表于 2025-3-29 18:17:31
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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 发表于 2025-3-30 00:19:43
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 发表于 2025-3-30 04:37:37
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 , in studying quantum computing , in studying stochastic resonance. , etc.