Scattering theoretical model is the main content of the study of quantum human body information mechanism. The interaction idea of quantum human body, the functor of quantum human body state evolving with time and the outspread of tiny disturbing theory of quantum human body were discussed in this paper. The scattering matrix of quantum human body, the outspread of tiny disturbing theory of quantum human body S matrix, the scattering section of quantum human body and the disparting wave method of quantum human body were expounded. Finally, the author summarized from seven aspects to the whole paper. Theoretical models were provided for the study of scattering mechanism of quantum human body.
The connection between causality and analyticity in scattering theory is formulated in terms of Hilbertspace concepts. The usual rules of nonrelativistic quantum mechanics are assumed to hold for the "in" and "out" states of the scattering system. We show that there is a (physically verifiable) causality condition which implies that each diagonal
S-matrix element ${S}_{\ensuremath{\alpha}\ensuremath{\alpha}}(E)$ must be the limit of an analytic function of the energy
E, regular in
ImE>0. The implications for partial-wave amplitudes and for the forward scattering amplitude in elastic two-body collisions are discussed.