Abstract
The Dirac wave equation for the electron soon lead to the recognition of the Zitterbewegung. This was studied both by Schrodinger and Dirac. Later there were further elegant and sometimes dissenting insights, from different authors. We briefly review some of these developments. However in more recent times with dark energy and noncommutative spacetime coming to centre stage, the earlier studies of Zitterbewegung become questionable.
Similar content being viewed by others
References
Dirac, P.A.M.: The Principles of Quantum Mechanics, pp. 4ff, 253ff. Clarendon Press, Oxford (1958)
Barut, A.O., Bracken, A.J.: Phys. Rev. D 23(10), 2454–2463 (1981)
Huang, K.: Statistical Mechanics, p. 75ff. Wiley Eastern, New Delhi (1975)
Hestenes, D.: Found. Phys. 20(10), 1213–1232 (1990)
Sidharth, B.G.: Chaotic Universe: From the Planck to the Hubble Scale. Nova Science, New York (2001)
Sidharth, B.G.: The Universe of Fluctuations. Springer, Dordrecht (2005)
Sidharth, B.G.: The Thermodynamic Universe. World Scientific, Singapore (2008)
Snyder, H.S.: Phys. Rev. 72(1), 68–71 (1947)
Snyder, H.S.: Phys. Rev. 71(1), 38–41 (1947)
Kadyshevskii, V.G.: Transl. Dokl. Akad. Nauk SSSR 147(6), 1336–1339 (1962)
Schild, A.: Phys. Rev. 73, 414–415 (1948)
Dirac, P.A.M.: Directions in Physics. Wiley, New York (1978)
Bombelli, L., Lee, J., Meyer, D., Sorkin, R.D.: Phys. Rev. Lett. 59(5), 521–524 (1987)
Finkelstein, D.R.: Quantum Relativity a Synthesis of the Ideas of Einstein and Heisenberg. Springer, Berlin (1996)
Wolf, C.: Hadron. J. 13, 22–29 (1990)
Lee, T.D.: Phys. Lett. 122B(3–4), 217–220 (1983)
Sachs, M.: General Relativity and Matter, p. 45ff. D. Reidel, Dordrecht (1982)
Sidharth, B.G.: Found. Phys. Lett. 16(1), 91–97 (2003)
Shirokov, Y.M.: Sov. Phys. JETP 6,33(5), 929–935 (1958)
Heine, V.: Group Theory in Quantum Mechanics, p. 364. Pergamon Press, Oxford (1960)
Sidharth, B.G.: Found. Phys. Lett. 15(6), 577–583 (2002)
Penrose, R.: Angular momentum: an approach to combinational space-time. In: Bastin, T. (ed.) Quantum Theory and Beyond, p. 151ff. Cambridge University Press, Cambridge (1971)
Misner, C.W., Thorne, K.S., Wheeler, J.A.: Gravitation, p. 819ff. W.H. Freeman, San Francisco (1973)
Gueret, P., Vigier, J.P.: Found. Phys. 12(11), 1057ff (1982)
Sachidanandam, S.: Phys. Lett. 97A(8), 323–324 (1983)
Milonni, P.W.: The Quantum Vacuum: An Introduction to Quantum Electrodynamics. Academic Press, San Diego (1994)
Salecker, H., Wigner, E.P.: Phys. Rev. 109, 571–577 (1958)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sidharth, B.G. Revisiting Zitterbewegung. Int J Theor Phys 48, 497–506 (2009). https://doi.org/10.1007/s10773-008-9825-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-008-9825-8