Classical behaviour of the Dirac bispinor

Abstract

It is usually supposed that the Dirac and radiation equations predict that the phase of a fermion will rotate through half the angle through which the fermion is rotated, which means, via the measured dynamical and geometrical phase factors, that the fermion must have a half-integral spin. We demonstrate that this is not the case and that the identical relativistic quantum mechanics can also be derived with the phase of the fermion rotating through the same angle as does the fermion itself. Under spatial rotation and Lorentz transformation the bispinor transforms as a four-vector like the potential and Dirac current. Previous attempts to provide this form of transformational behaviour have foundered because a satisfactory current could not be derived.(14)

Notation tidied - no other changes, 39 pages

References in corpus (2)

• One Component Dirac Equation
• Half-whole Dimensions in Quaternionic Quantum Mechanics

Cited by in corpus (7)

• The Dirac algebra and its physical interpretation
• QED derived from the two-body interaction (1) Mapping to M-space
• QED derived from the two-body interaction (2) The derivation
• Quantising general relativity using QED theory
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• Quantising general relativity using QED theory, an overview and extension
• The relationship of time and space