Problems of conservative integration in beam physics

S. N. Andrianov, A. S. Abramova

Research outputpeer-review

Abstract

In this paper an approach to conservative integration methods development is discussed, This problem is very important for beam physics: from beam line synthesis up to long time evolution simulation. This approach is based on a Lie algebra technique. On the first step we find a special form of decomposition for a Lie map, describing the system under study. On the second step a researcher finds exact solutions for some classes of hamillonians in symbolic forms. These steps allows forming an integration scheme, which have a desired symplectic property. The additional invariant and symmetry properties can be included using dynamical invariants conception.

Original languageEnglish
Title of host publicationProceedings of the Particle Accelerator Conference, PAC 2005
Pages1087-1089
Number of pages3
DOIs
Publication statusPublished - 1 Dec 2005
EventParticle Accelerator Conference, PAC 2005 - Knoxville, TN
Duration: 16 May 200520 May 2005

Publication series

NameProceedings of the IEEE Particle Accelerator Conference
Volume2005

Conference

ConferenceParticle Accelerator Conference, PAC 2005
CountryUnited States
CityKnoxville, TN
Period16/05/0520/05/05

Scopus subject areas

  • Engineering(all)

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