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Quantization Process for Massless Particles

C. L. Hammer and R. H. Good, Jr.

  • Institute for Atomic Research and Department of Physics, Iowa State College, Ames, Iowa

Phys. Rev. 111, 342 – Published 1 July, 1958

DOI: https://doi.org/10.1103/PhysRev.111.342

Abstract

This paper gives the quantization of a recently proposed theory for particles of arbitrary spin and zero mass. An interesting result is that there is a connection between the spin and the statistics of the particles. It is found that the spinor components of a boson/fermion field with integral/half-integral spin commute/anticommute off of the light cone whereas the spinor components of a boson/fermion field with half-integral/integral spin do not. As in the unquantized theory, the two-component neutrino and the photon are special cases.

References (10)

  1. C. L. Hammer and R. H. Good, Jr., Phys. Rev. 108, 882 (1957)
  2. [1]
  3. H. Umezawa, Quantum Field Theory (Interscience Publishers, Inc., New York, 1956), Chap. IV, Sec. 3
  4. M. Fierz, Helv. Phys. Acta 12, 3 (1939)
  5. W. Pauli, Phys. Rev. 58, 716 (1940)
  6. Omitted endnote

  7. Omitted endnote

  8. R. H. Good, Jr., Phys. Rev. 105, 1914 (1957)
  9. L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, Inc., New York, 1955), second edition, p. 377
  10. W. Heitler, The Quantum Theory of Radiation (Oxford University Press, London, 1954), third edition, Sec. 8

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