@article{oai:ir.soken.ac.jp:00004737, author = {平田, 光司 and HIRATA, Koji and HIRATA, Kohji}, issue = {1}, journal = {Particle Accelerators, Particle Accelerators}, month = {}, note = {The longitudinal motion of electrons in a storage ring cannot be described correctly with the usual Fokker-Planck equation when a wake force is fully local, unless some complicated regularization is performed. Instead, a mapping formulation is proposed which is based on a complete description of the behavior of the distribution function. With some approximation, the method leads to a set of mapping equations for a few parameters. As an example, a simple soluble model is constructed which turns out to show good qualitative agreement with multiparticle tracking, but qualitative disagreement with conventional theory.}, pages = {57--79}, title = {A theory of bunch lengthening in electron storage rings with localized wake force sources}, volume = {22}, year = {1987}, yomi = {ヒラタ, コウジ} }