束流输运理论的新表述

A NEW REPRESENTATION OF BEAM TRANSPORT THEORY

通过表象变换，导出了由Ｔｗｉｓｓ参数描写的量子力学相空间分布函数ｐ＿ｓ（ｐ、ｑ、ｔ），它可用于处理束流输运理论。由于它解自Ｓｃｈｒｏｄｉｎｇｅｒ方程，因而对非线性力束流输运问题又提供了一条新途径，对光束传输来讲，也为几何高斯光学引进衍射修正提供了可能。

AbstractBy means of a generalized coherent state representation transformation,a quantumcounterpart of the phase space distribution function ρ_s(p,q;t)appropriate to the beamtransport theory is introduced.Different from Husimi representation,the representationtakes nonstationary solutions of a linear reference as the bases,that is, with Twissparameters when it evolutes with time. Since the function ρ_s is solved from Schrdirger'sequation,a new approach to treat the beam transport problems occurs besides of theparticle trace and the expansion method in the case of nonlinear force. As for the opticalbeam transmision,the new approach is an exact wave theory except the paraxialapproximation,therefore it provides a possibility to introduce the diffraction modificationinto the geometrical optics.