Abstract
In previous work the author was able to derive the Schrödinger equation by an analytical approach built around a physical model that featured a special diffusion process in an ensemble of particles. In the present work, this approach is extended to include the derivation of the Dirac equation. To do this, the physical model has to be modified to make provision for intrinsic electric and magnetic dipoles to be associated with each ensemble particle.
Similar content being viewed by others
References
L. Bess,Prog. Theor. Phys. 49, 1889 (1973). Referred to hereafter as I.
L. Bess,Prog. Theor. Phys. 52, 313 (1974). Referred to hereafter as II.
L. Bess,Prog. Theor. Phys. 53, 1831 (1975). Referred to hereafter as III.
H. A. Kramers,Quantum Mechanics (North-Holland, Amsterdam, 1957).
H. Weyl, The Theory of Groups and Quantum Mechanics, 2nd ed. (Dover, New York, 1931).
W. Pauli, inHandb. d. Phys.,2 Aufl. (1933), Bd. 24, 1 Teil, 214.
R. P. Feynman,Phys. Rev. 76, 749 (1949).
F. Rohrlich,Classical Charged Particles (Addison-Wesley, Reading, Mass., 1965).
W. Gordon,Z. Phys. 50, 630 (1927).
P. G. Bergman,Introduction to the Theory of Relativity (Prentice Hall, New York, 1942).
L. I. Schiff,Quantum Mechanics (McGraw-Hill, New York, 1949).
N. F. Mott and I. N. Sneddon,Wave Mechanics and its Applications (Clarendon Press, Oxford, 1948).
T. Takabayasi,Prog. Theor. Phys., 00, 222 (1955).
L. de Broglie,Une tentative d'interprétation causale et non-linéaire de la méchanique ondulatoire (Gauthier-Villars, Paris, 1956).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bess, L. A diffusion model for the Dirac equation. Found Phys 9, 27–54 (1979). https://doi.org/10.1007/BF00715050
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00715050