Skip to main content

Surprises of Quantum Tunneling (Something about the Velocity of the Sub-Barrier Motion)

  • Chapter
  • 170 Accesses

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 46))

Abstract

We discuss the time evolution in sub-barrier motion to investigate the unexpected effect discovered by Fletcher, namely the independence of the time delay on the barrier length for sufficiently long barriers. It is shown that the velocity of a wave packet under the barrier is exponentially decreasing from the beginning to the end of the barrier so the packet spends the main part of time penetrating the last part of the barrier.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Tarakanov A.V., Shilov V.M. Sov.J.Nucl.Phys. 48, 108 (1988) (in Russian).

    Google Scholar 

  2. Zakhariev B.N., Suzko A.A. Potentials and quantum scattering. Direct and Inverse Problems. Energoatomizdat, Moscow.1985; a revised English edition is due to appear in Springer Verlag, Heidelberg 1990

    Google Scholar 

  3. Fletcher J.R., J.Phys. C18, L55 (1985).

    Google Scholar 

  4. Olhovsky V.S., Sov.J.Elem.Part.and Nucl. 15, 289 (1984) (in Russian).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Birkhäuser Verlag Basel

About this chapter

Cite this chapter

Zakhariev, B.N., Olhovsky, V.S., Shilov, V.M. (1990). Surprises of Quantum Tunneling (Something about the Velocity of the Sub-Barrier Motion). In: Exner, P., Neidhardt, H. (eds) Order,Disorder and Chaos in Quantum Systems. Operator Theory: Advances and Applications, vol 46. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7306-2_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-7306-2_15

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7308-6

  • Online ISBN: 978-3-0348-7306-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics