TY - GEN

T1 - Problems of conservative integration in beam physics

AU - Andrianov, S. N.

AU - Abramova, A. S.

PY - 2005/12/1

Y1 - 2005/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33847112417&partnerID=8YFLogxK

U2 - 10.1109/PAC.2005.1590667

DO - 10.1109/PAC.2005.1590667

M3 - Conference contribution

AN - SCOPUS:33847112417

SN - 0780388593

SN - 9780780388598

T3 - Proceedings of the IEEE Particle Accelerator Conference

SP - 1087

EP - 1089

BT - Proceedings of the Particle Accelerator Conference, PAC 2005

T2 - Particle Accelerator Conference, PAC 2005

Y2 - 16 May 2005 through 20 May 2005

ER -