Skip to main content

Unified Dynamical Theory -

From Thermal Activation to Coherent and Incoherent Tunneling

  • Chapter
Quantum Tunneling in Complex Systems

Part of the book series: Springer Tracts in Modern Physics ((STMP,volume 224))

  • 1091 Accesses

Abstract

As has become clear in the previous Chapter, the most challenging domain for a dynamical theory of escape processes, i.e. a description in real-time, is the low temperature range. There, quantum mechanical non-locality renders any standard semiclassical approach to fail.

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.

References

  1. J. Ankerhold and H. Grabert. Europhys. Lett., 47:285, 1999.

    Article  ADS  Google Scholar 

  2. J. Ankerhold and H. Grabert. Phys. Rev. E, 61:3450, 2000.

    Article  ADS  MathSciNet  Google Scholar 

  3. W.H. Miller. Adv. Chem. Phys., XXV:69, 1974.

    Article  Google Scholar 

  4. M.V. Berry and K.E. Mount. Rep. Prog. Phys., 35:315, 1972.

    Article  ADS  Google Scholar 

  5. M. Abramowitz and J.E. Stegun (eds.). Handbook of Mathematical Functions. National Bureau of Standards, 1972.

    Google Scholar 

  6. J. Ankerhold, H. Grabert, and G.L. Ingold. Phys. Rev. E, 51:4267, 1995.

    Article  ADS  Google Scholar 

  7. J. Ankerhold and H. Grabert. Chem. Phys., 204:27, 1996.

    Article  Google Scholar 

  8. J. Ankerhold and H. Grabert. Physica A, 188:568, 1992.

    Article  ADS  Google Scholar 

  9. J. Ankerhold and H. Grabert. Phys. Rev. E, 52:4704, 1995.

    Article  ADS  Google Scholar 

  10. L.S. Schulman. Techniques and Applications of Path Integrals. Wiley, 1981.

    Google Scholar 

  11. S. Coleman. In A. Zichichi, editor, The Whys of Subnuclear Physics, Plenum, 1979.

    Google Scholar 

  12. U. Weiss and W. Haeffner. Phys. Rev. D, 27:2916, 1983.

    Article  ADS  Google Scholar 

  13. C. Eckart. Phys. Rev., 35:1303, 1930.

    Article  ADS  Google Scholar 

  14. F.J. Weiper, J. Ankerhold, and H. Grabert. J. Chem. Phys., 104:7526, 1996.

    Article  ADS  Google Scholar 

  15. E. Pollak and B. Eckhardt. Phys. Rev. E, 58:5436, 1998.

    Article  ADS  Google Scholar 

  16. G.A. Voth, D. Chandler, and W.H. Miller. J. Chem. Phys., 91:7749, 1989.

    Article  ADS  Google Scholar 

  17. G.A. Voth, D. Chandler, and W.H. Miller. J. Phys. Chem., 93:7009, 1989.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer

About this chapter

Cite this chapter

Ankerhold, J. (2007). Unified Dynamical Theory -. In: Quantum Tunneling in Complex Systems. Springer Tracts in Modern Physics, vol 224. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-68076-4_7

Download citation

Publish with us

Policies and ethics