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Foundations of Physics

, Volume 2, Issue 1, pp 35–40 | Cite as

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

  • J. L. Synge
Article

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.

Keywords

Long Range Fundamental Solution Special Class Free Particle Arbitrary Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J. L. Synge,Quart. Appl. Math. 26, 153 (1968).Google Scholar
  2. 2.
    J. L. Synge,Relativity: The Special Theory (North-Holland Publishing Co., Amsterdam, 1965), p. 360.Google Scholar
  3. 3.
    J. L. Synge,Proc. Royal Soc. A 283, 14 (1965).Google Scholar
  4. 4.
    A. Messiah,Quantum Mechanics (North-Holland Publishing Co., Amsterdam, 1965), Vol. I.Google Scholar

Copyright information

© Plenum Publishing Corporation 1972

Authors and Affiliations

  • J. L. Synge
    • 1
  1. 1.Dublin Institute for Advanced StudiesDublinIreland

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