Abstract
In this paper we discuss three aspects of particle channeling, (1) the validity of the continuum model in a bent crystal, (2) a first principles approach to thermal vibration effects and (3) the relation between phase space diffusion and transverse energy diffusion in the context of electron multiple scattering. The discussions in (2) and (3) are done for straight crystals but presumably apply with minor modification to the bent crystal case.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
A. W. Saénz, private communication and V. I. Arnold, “Mathematical Methods of Classical Mechanics,” Springer, New York (1974), p. 242.
H. S. Dumas and J. A. Ellison, “Particle channeling in crystals and the method of averaging,” Lecture Notes in Physics, 252, edited by A. W. Saénz, W. W. Zachary, and R. Cawley, Springer-Verlag, New York (1986).
H. S. Dumas, J. A. Ellison, and A. W. Saénz (to be published).
A. Ben Lemlih and J. A. Ellison, Phys. Rev. Lett. 55: 1950 (1986).
A. Ben Lemlih, “An Extension of the Method of Averaging to Partial Differential Equations,” Ph.D. dissertation, University of New Mexico (June 1986).
A. Ben Lemlih and J. A. Ellison, Annales de la Fondation Louis de Broglie, 11 (4): 285 (1986).
A. Ben Lemlih and J. A. Ellison (in preparation).
H. S. Dumas, Ph.D. dissertation, University of New Mexico (in preparation).
M. Lax, Rev. Mod. Phys. 38:541 (1966)
N. G. Van Kampen, Phys. Reports, 24: 171 (1976).
R. Cogburn and R. Hersh, Indiana University Mathematics Journal,22(11):1067 (1973)
S. N. Ethier and T. G. Kurtz, “Markov Processes: Characterization and Convergence,” John Wiley and Sons, New York (1986).
J. Tapia, Ph.D. dissertation, University of New Mexico (in preparation).
J. Lindhard and V. Nielsen, Dansk. Vid. Selsk, Mat. Fys. Medd, 38 (9) (1971).
J. Lindhard, Dansk. Vid. Selsk., Mat. Fys. Medd., 39 (1) (1974).
See for example, R. Wedell, this volume.
B. oksendal, “Stochastic Differential Equations,” Springer-Verlag, New York (1985)
C. W. Gardiner, “Handbook of Stochastic Methods for Physics Chemistry and the Natural Sciences,” Springer-Verlag, New York (1985).
J. Nue, private communication.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer Science+Business Media New York
About this chapter
Cite this chapter
Ellison, J.A. (1987). Theory of Particle Motion in Straight and Distorted Crystals. In: Carrigan, R.A., Ellison, J.A. (eds) Relativistic Channeling. NATO ASI Series, vol 165. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6394-2_7
Download citation
DOI: https://doi.org/10.1007/978-1-4757-6394-2_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-3207-5
Online ISBN: 978-1-4757-6394-2
eBook Packages: Springer Book Archive