Quantization of Relativistic Schrödinger Equations for Arbitrary Spin

P. M. Mathews
Phys. Rev. 155, 1415 – Published 25 March 1967
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Abstract

It is shown that a recently derived relativistic Schrödinger equation for free particles of arbitrary spin can be consistently quantized in the case of half-integer spins (but not for integer spins) by invoking the microcausality condition and using the role of certain expectation values of the c-number theory as generators of transformations of the Poincaré group in the q-number theory. The correct type of statistics (Fermi-Dirac) for half-integer-spin particles is obtained as a consequence of the theory. The way to handle the integer-spin case is indicated, but details are left for future presentation.

  • Received 3 October 1966

DOI:https://doi.org/10.1103/PhysRev.155.1415

©1967 American Physical Society

Authors & Affiliations

P. M. Mathews

  • Department of Physics, University of Madras, Madras, India

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Issue

Vol. 155, Iss. 5 — March 1967

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