LINAC2014 - List of Authors (Drivotin, O.I.)

Paper	Title	Page
MOPP135	Exact Solutions of the Vlasov Equation in Magnetic Field	377
	O.I. Drivotin, D.A. Ovsyannikov St. Petersburg State University, St. Petersburg, Russia
	Funding: This work was supported by St.-Petersburg State University grant #9.38.673.2013. This report is devoted to self-consistent distributions for charged particle beam which are regarded as solutions of the Vlasov equation. New approach based on covariant formulation of the Vlasov equation* is developed. Such approach allows using various coordinates in the phase space. It is shown how to apply this approach to the problem of finding of solutions of the Vlasov equation for charged particle beam. Solutions obtained within the framework of this approach are presented. Most known example is the Kapchinsky-Vladimirsky distribution. Wide classes of distributions for uniformly charged beam are also considered. * O.I. Drivotin. Covariant formulation of the Vlasov equation. Proc. of 2011 Int. Part. Acc. Conf.(IPAC'2011), San-Sebastian, Spain, 2011. accelconf.web.cern.ch/accelconf/ipac2011/papers/wepc114.pdf

Paper

Title

Page

Exact Solutions of the Vlasov Equation in Magnetic Field

377

O.I. Drivotin, D.A. Ovsyannikov
St. Petersburg State University, St. Petersburg, Russia

Funding: This work was supported by St.-Petersburg State University grant #9.38.673.2013.
This report is devoted to self-consistent distributions for charged particle beam which are regarded as solutions of the Vlasov equation. New approach based on covariant formulation of the Vlasov equation* is developed. Such approach allows using various coordinates in the phase space. It is shown how to apply this approach to the problem of finding of solutions of the Vlasov equation for charged particle beam. Solutions obtained within the framework of this approach are presented. Most known example is the Kapchinsky-Vladimirsky distribution. Wide classes of distributions for uniformly charged beam are also considered.
* O.I. Drivotin. Covariant formulation of the Vlasov equation. Proc. of 2011 Int. Part. Acc. Conf.(IPAC'2011), San-Sebastian, Spain, 2011. accelconf.web.cern.ch/accelconf/ipac2011/papers/wepc114.pdf