Extra Dirac Equations

Abstract

This paper has rather a pedagogical meaning. Surprising symmetries in the $(j,0)\oplus (0,j)$ Lorentz group representation space are analyzed. The aim is to draw reader's attention to the possibility of describing the particle world on the ground of the Dirac "doubles". Several tune points of the variational principle for this kind of equations are briefly discussed.

REVTeX 3.0, 14pp

References in corpus (5)

• A Bargmann-Wightman-Wigner Type Quantum Field Theory
• Front Form Spinors in Weinberg-Soper Formalism and Melosh Transformations for any Spin
• Neutral Particles in Light of the Majorana-Ahluwalia Ideas
• Antisymmetric tensor matter fields: an abelian model
• Majorana-Like (j,0)+(0,j) Representation Spaces: Construction and Physical Interpretation

Cited by in corpus (5)

• Questions in the Theory of the (1,0)+(0,1) Quantized Fields
• Maxwell field on the Poincare group
• Comment on the "Maxwell Equations as the One-Photon Quantum Equation" by A. Gersten [Found. Phys. Lett. 12, pp. 291-298 (1999)]
• Dirac and Majorana field operators with self/antiself charge-conjugate states
• Incompatibility of the Dirac-like Field Operators with the Majorana Anzatzen