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.
Article PDF
Similar content being viewed by others
References
J. L. Synge,Quart. Appl. Math. 26, 153 (1968).
J. L. Synge,Relativity: The Special Theory (North-Holland Publishing Co., Amsterdam, 1965), p. 360.
J. L. Synge,Proc. Royal Soc. A 283, 14 (1965).
A. Messiah,Quantum Mechanics (North-Holland Publishing Co., Amsterdam, 1965), Vol. I.
Author information
Authors and Affiliations
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00708617