@article{oai:ir.soken.ac.jp:00004750, author = {平田, 光司 and HIRATA, Koji and HIRATA, Kohji}, journal = {Proceedings of the 1989 IEEE, Proceedings of the 1989 IEEE}, month = {}, note = {A general approach is proposed for the study of coherent phenomena in electron storage rings due to a localized nonlinear force. The approach is based on expanding the distribution function into a series using generalized Hermite polynomials in two dimensions (Stratonovich expansion). When the series is terminated at the lowest order, it gives the Gaussian approximation. The approach is applied to strong-strong and weak-strong beam-beam interactions in e+e- colliding storage rings at the next-to-lowest order approximation and shows improved quantitative agreement with the multiparticle tracking.}, pages = {1809--1811}, title = {Stratonovich Expansion and Beam-Beam Interaction}, volume = {3}, year = {1989}, yomi = {ヒラタ, コウジ} }