Skip to main content
SpringerLink
Log in

A special class of solutions of the Schrödinger equation for a free particle

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

The fundamental solution of the Schrödinger equation for a free particle is modified by the inclusion of an arbitrary scalar and an arbitrary vector, both imaginary. This gives a field free from singularities. By choosing the scalar small and the vector large, one obtains a model of a wavepacket which moves fast and remains concentrated over a long range.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. L. Synge,Quart. Appl. Math. 26, 153 (1968).

    Google Scholar 

  2. J. L. Synge,Relativity: The Special Theory (North-Holland Publishing Co., Amsterdam, 1965), p. 360.

    Google Scholar 

  3. J. L. Synge,Proc. Royal Soc. A 283, 14 (1965).

    Google Scholar 

  4. A. Messiah,Quantum Mechanics (North-Holland Publishing Co., Amsterdam, 1965), Vol. I.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dublin Institute for Advanced Studies, Dublin, Ireland

    J. L. Synge

Authors
  1. J. L. Synge
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Synge, J.L. A special class of solutions of the Schrödinger equation for a free particle. Found Phys 2, 35–40 (1972). https://doi.org/10.1007/BF00708617

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00708617

Keywords

Search

Navigation