Hamiltonian formalism for solving the Vlasov-Poisson equations and its applications to periodic focusing systems and coherent beam-beam interaction

Physical Review Special Topics - Accelerators and Beams

Volumn 5, Issue 2, 2002, Pages 16-25

  Tzenov, Stephan I ^a   Davidson, Ronald C ^a  

^a PRINCETON PLASMA PHYSICS LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18244366896     PISSN: 10984402     EISSN: 10984402     Source Type: Journal    
DOI: 10.1103/PhysRevSTAB.5.021001     Document Type: Article

References (20)

1. R. C. Davidson and H. Qin, Physics of Intense Charged Particle Beams in High Energy Accelerators (World Scientific, Singapore, 2001), and references therein.
2. A. W. Chao, Physics of Collective Beam Instabilities in High Energy Accelerators (Wiley, New York, 1993).
3. S. I. Tzenov, Fermilab Report No. FERMILAB-Pub-98/287, 1998.
4. Y. Cai, A. W. Chao, S. I. Tzenov, and T. Tajima, Phys. Rev. ST Accel. Beams 4, 011001 (2001).
5. A. W. Chao, P. Bambade, and W. T. Weng, in Proceedings of the US-CERN School on Particle Accelerators, Santa Margherita di Pula, Sardinia, 1985, edited by J. M. Jowett, M. Month, and S. Turner, Lecture Notes in Physics Vol. 247 (Springer-Verlag, Berlin, 1986), p. 77.
6. J. T. Seeman, in Proceedings of the US-CERN School on Particle Accelerators, Santa Margherita di Pula, Sardinia, 1985 (Ref. [5]), p. 121.
7. P. J. Channell, Phys. Plasmas 6, 982 (1999).
8. R. C. Davidson, H. Qin, and P. J. Channell, Phys. Rev. ST Accel. Beams 2, 074401 (1999); 3, 029901 (2000).
9. R. C. Davidson, H. Qin, and P. J. Channell, Phys. Rev. ST Accel. Beams 2, 074401 (1999); 3, 029901 (2000).
10. A. J. Lichtenberg and M. A. Lieberman, Regular and Stochastic Motion (Springer-Verlag, Berlin, 1983).
11. S. I. Tzenov and R. C. Davidson, in Proceedings of the 2001 Particle Accelerator Conference, Chicago (to be published).
12. J. A. Ellison and R. L. Warnock, SLAC Report No. SLAC-PUB-8778, 2000.
13. S. I. Tzenov, Contemporary Accelerator Physics (to be published).
14. S. I. Tzenov and R. C. Davidson, in Proceedings of the 2001 Particle Accelerator Conference, Chicago (Ref. [10]).
15. A. W. Chao and R. D. Ruth, Part. Accel. 16, 201 (1985).
16. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables (Wiley, New York, 1984).
17. J. Haissinski, Nuovo Cimento Soc. Ital. Fis. 18B, 72 (1973).
18. Yu. L. Klimontovich, Statistical Physics (Harwood Academic, Chur, Switzerland, 1986).
19. A. H. Nayfeh, Introduction to Perturbation Techniques (Wiley, New York, 1981).
20. A. V. Otboyev and E. A. Perevedentsev, Phys. Rev. ST Accel. Beams 2, 104401 (1999).