Quantization of Relativistic Schrödinger Equations for Arbitrary Spin
- 25 March 1967
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 155 (5) , 1415-1420
- https://doi.org/10.1103/physrev.155.1415
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 -number theory as generators of transformations of the Poincaré group in the -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.
Keywords
This publication has 6 references indexed in Scilit:
- Invariant Scalar Product and Observables in a Relativistic Theory of Particles of Arbitrary SpinPhysical Review B, 1966
- Relativistic Schrödinger Equations for Particles of Arbitrary SpinPhysical Review B, 1966
- Description of a Particle with Arbitrary Mass and SpinPhysical Review B, 1964
- Relativistic quantization of fieldsNuclear Physics, 1964
- Feynman Rules for Any SpinPhysical Review B, 1964
- The Connection Between Spin and StatisticsPhysical Review B, 1940