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| MPPE007 |
Problems of Conservative Integration in Beam Physics
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1087 |
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- S.N. Andrianov, S. Abramova
St. Petersburg State University, Applied Mathematics & Control Processes Faculty, St. Petersburg
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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 hamiltonians 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.
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