Abstract
We explore the possibility thatzitterbewegung is the key to a complete understanding of the Dirac theory of electrons. We note that a literal interpretation of thezitterbewegung implies that the electron is the seat of an oscillating bound electromagnetic field similar to de Broglie's pilot wave. This opens up new possibilities for explaining two major features of quantum mechanics as consequences of an underlying physical mechanism. On this basis, qualitative explanations are given for electron diffraction, the existence of quantized radiationless states, the Pauli principle, and other features of quantum mechanics.
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References
E. Schroedinger,Sitzungb. Preuss. Akad. Wiss. Phys.-Math Kl. 24, 418 (1930).
H. Thirring,Principles of Quantum Electrodynamics (Academic Press, New York, 1958).
K. Huang, “On the Zitterbewegung of the Electron,”Am. J. Phys. 20, 479 (1952).
A. O. Barut and A. J. Bracken,Phys. Rev. D 23, 2454 (1981).
J. A. Lock, “The Zitterbewegung of the Free Localized Dirac Particles,”Am. J. Phys. 47, 797 (1979).
H. C. Corben,Classical and Quantum Theories of Spinning Particles (Holden-Day, San Francisco, 1968).
P. J. Browne,Ann. Phys. (N.Y.)59, 254 (1970).
A. O. Barut, “What is an Electron?” inQuantum Electrodynamics in Strong Fields, W. Greiner, ed. (Plenum New York 1983).
J. D. Bjorken and S. D. Drell,Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964).
F. Rohrlich,Classical Charged Particles (Addison-Wesley, Reading, Massachusetts, 1965).
A. Landé,Am. J. Phys. 33, 123 (1965);43, 701 (1975);New Foundations of Quantum Mechanics (Cambridge University Press, Cambridge, 1965).
L. de Broglie,The Current Interpretation of Wave Mechanics: A Critical Study (Elsevier, Amsterdam, 1964);Nonlinear Wave Mechanics: A Causal Interpretation (Elsevier, Amsterdam, 1960).
L. Halpern, personal communication.
D. Hestenes, “Spin and Uncertainty in the Interpretation of Quantum Mechanics,”Am. J. Phys. 47, 399 (1979).
T. A. Welton,Phys. Rev. 74, 1157 (1948); J. D. Bjorken and S. D. Drell,Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964), p. 58.
E. T. Jaynes,Coherence and Quantum Optics, L. Mandel and E. Wolf, eds. (Plenum, New York, 1978), pp. 495–509.
A. O. Barut and J. Kraus, “Nonperturbative Quantum Electrodynamics: The Lamb Shift,”Found. Phys. 13, 189 (1983).
P. W. Milonni and W. A. Smith,Phys. Rev. A 11, 814 (1975).
A. O. Barut, “The Zitterbewegung and the Einstein A Coefficient of Spontaneous Emission,” inOld and New Questions in Physics, Cosmology, Philosophy, and Theoretical Biology, A. van der Merwe, ed. (Plenum, New York, 1983).
A. O. Barut, “Stable Particles as Building Blocks of Matter,” inSurv. High Energy Phys. 1(2), 113 (1980).
D. Hestenes, “Real Spinor Fields,”J. Math. Phys. 8, 798 (1967).
D. Hestenes, “Local Observables in the Dirac Theory,”J. Math. Phys. 14, 893 (1973).
D. Hestenes, “Observables, Operators, and Complex Numbers in the Dirac Theory,”J. Math. Phys. 16, 556 (1975).
D. Hestenes, “Geometry of the Dirac Theory,” inMathematics of Physical Space-Time, J. Keller, ed. (Facultad de Quimica, Universidad Nacional Autonoma de Mexico, Mexico City, 1981).
D. Hestenes,Space-Time Algebra (Gordon and Breach, New York, 1966).
D. Hestenes, “Space-time Structure of Weak and Electromagnetic Interactions,”Found. Phys. 12, 153 (1982).
L. de Broglie, “Ondes et Quanta,”Compt. Rend. 177, 507 (1923).
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Hestenes, D. Quantum mechanics from self-interaction. Found Phys 15, 63–87 (1985). https://doi.org/10.1007/BF00738738
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DOI: https://doi.org/10.1007/BF00738738