Abstract
Mathematical tools have been derived in previous chapters to describe the dynamics of singly charged particles in electromagnetic fields. While the knowledge of single-particle dynamics is essential for the development of particle beam transport systems, we are still missing a formal treatment of the behavior of multiparticle beams. In principle a multiparticle beam can be described simply by calculating the trajectories of every single particle within this beam, a procedure that is obviously too inefficient to be useful for the description of any real beam involving a very large number of particles.
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References
H. Wiedemann: Particle Accelerator Physics I (Springer, Berlin, Heidelberg 1993)
K. W. Robinson: Phys. Rev. 111, 373 (1958)
H. Risken: The Fokker-Planck Equation (Springer, Berlin, Heidelberg 1989)
I.S. Gradshteyn, I.M. Ryzhik: Tables of Integrals, Series and Products (Academic, New York 1965)
A.W. Chao: In Frontiers of Particle Beams, ed. by M. Month, S. Turner, Lect. Notes Phys., Vol.296 (Springer, Berlin, Heidelberg 1988) p.51
Y.H. Chin: Quantum lifetime. DESY Rept. DESY 87–062 (1987)
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© 1995 Springer-Verlag Berlin Heidelberg
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Wiedemann, H. (1995). Hamiltonian Many-Particle Systems. In: Particle Accelerator Physics II. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97550-9_8
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DOI: https://doi.org/10.1007/978-3-642-97550-9_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-97552-3
Online ISBN: 978-3-642-97550-9
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