Skip to main content

Theory of Particle Motion in Straight and Distorted Crystals

  • Chapter
Relativistic Channeling

Part of the book series: NATO ASI Series ((NSSB,volume 165))

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. A. W. Saénz, private communication and V. I. Arnold, “Mathematical Methods of Classical Mechanics,” Springer, New York (1974), p. 242.

    Google Scholar 

  2. 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).

    Google Scholar 

  3. H. S. Dumas, J. A. Ellison, and A. W. Saénz (to be published).

    Google Scholar 

  4. A. Ben Lemlih and J. A. Ellison, Phys. Rev. Lett. 55: 1950 (1986).

    Article  MathSciNet  Google Scholar 

  5. A. Ben Lemlih, “An Extension of the Method of Averaging to Partial Differential Equations,” Ph.D. dissertation, University of New Mexico (June 1986).

    Google Scholar 

  6. A. Ben Lemlih and J. A. Ellison, Annales de la Fondation Louis de Broglie, 11 (4): 285 (1986).

    Google Scholar 

  7. A. Ben Lemlih and J. A. Ellison (in preparation).

    Google Scholar 

  8. H. S. Dumas, Ph.D. dissertation, University of New Mexico (in preparation).

    Google Scholar 

  9. M. Lax, Rev. Mod. Phys. 38:541 (1966)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. N. G. Van Kampen, Phys. Reports, 24: 171 (1976).

    Google Scholar 

  11. R. Cogburn and R. Hersh, Indiana University Mathematics Journal,22(11):1067 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  12. S. N. Ethier and T. G. Kurtz, “Markov Processes: Characterization and Convergence,” John Wiley and Sons, New York (1986).

    Google Scholar 

  13. J. Tapia, Ph.D. dissertation, University of New Mexico (in preparation).

    Google Scholar 

  14. J. Lindhard and V. Nielsen, Dansk. Vid. Selsk, Mat. Fys. Medd, 38 (9) (1971).

    Google Scholar 

  15. J. Lindhard, Dansk. Vid. Selsk., Mat. Fys. Medd., 39 (1) (1974).

    Google Scholar 

  16. See for example, R. Wedell, this volume.

    Google Scholar 

  17. B. oksendal, “Stochastic Differential Equations,” Springer-Verlag, New York (1985)

    Book  Google Scholar 

  18. C. W. Gardiner, “Handbook of Stochastic Methods for Physics Chemistry and the Natural Sciences,” Springer-Verlag, New York (1985).

    Google Scholar 

  19. J. Nue, private communication.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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

Publish with us

Policies and ethics