Skip to main content
SpringerLink
Log in

On the Non-Linear Schrödinger Equation

  • Chapter
Open Questions in Quantum Physics

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 10))

  • 321 Accesses

Abstract

When a homogeneous electron beam passes through a small hole, a well-known diffraction picture is obtained according to quantum mechanics. This picture does not depend on the density of the electrons, since the Schrödinger equation is linear. Experiment contradicts however this deduction, because in reality the beam dilates. Accordingly, a generalized nonlinear Schrödinger equation is here proposed which gives both a diffraction picture and the dilatation phenomenon. Attempts to check these effects may turn into a crucial experiment.

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

Access this chapter

Log in via an institution
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. A.B. Datzeff, Mécanique quantique et réalité physique (Sofia, 1969 ).

    Google Scholar 

  2. A.B. Datzeff, Compt. Rend. 245, 827, 891 (1952); Cahier de Phys., No. 115, 99 (1960); Ann. Univ., Sofia, Fac. Sci., 52, 7 (1957/58).

    Google Scholar 

  3. A.B. Datzeff, Nuovo Cimento 29, B, No. 1 (1975)

    Google Scholar 

  4. T.R. Pierce, Theory and Design of Electron Beams (Van Nostrand, New York, 1954), 2nd. ed.

    Google Scholar 

  5. P.T. Kirstein, K.S. Gordon, and W.E. Eaters, Space-Charge Flow ( New York, McGraw-Hill, 1967 ).

    Google Scholar 

  6. W. Claser, Grundlagen der Optik (Vienna, 1952 ).

    Google Scholar 

  7. A.B. Datzeff, Phys. Lett. 29A, No. 3 (1976); Preprint ICTP (78)5, Trieste; Bulg. J. Phys. 6, 3 (1979); 6, 4 (1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Physics, University of Sofia, Sofia, Bulgaria

    A. B. Datzeff

Authors
  1. A. B. Datzeff
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Departments of Philosophy and Mathematics, University of Bologna, Italy

    Gino Tarozzi

  2. Department of Physics, University of Denver, USA

    Alwyn van der Merwe

Rights and permissions

Reprints and permissions

Copyright information

© 1985 D. Reidel Publishing Company

About this chapter

Cite this chapter

Datzeff, A.B. (1985). On the Non-Linear Schrödinger Equation. In: Tarozzi, G., van der Merwe, A. (eds) Open Questions in Quantum Physics. Fundamental Theories of Physics, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5245-4_15

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-5245-4_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8816-9

  • Online ISBN: 978-94-009-5245-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation