abstract

• A universal description of particles with spins j > 1, transforming in (j, 0) ⊕ (0, j), is developed by means of representation specific second order differential wave equations without auxiliary conditions and in covariant bases such as Lorentz tensors for bosons, Lorentz-tensors with Dirac spinor components for fermions, or, within the basis of the more fundamental Weyl- Van-der-Waerden sl(2,C) spinor-tensors. At the root of the method, which is free from the pathologies suffered by the traditional approaches, are projectors constructed from the Casimir invariants of the spin-Lorentz group, and the group of translations in the Minkowski space time. © Published under licence by IOP Publishing Ltd.

authors

• Arenhovel Kirchbach Mariana Nikolova
• Banda Guzmán V.M.

publication date

• 2016-01-01

published in

• Journal of Physics: Conference Series  Journal

keywords

• Wave equations; Casimir invariants; High spins; Lorentz group; Minkowski space-time; Particles with spin; Second orders; Traditional approaches; Universal description; Tensors

Digital Object Identifier (DOI)

• 10.1088/1742-6596/761/1/012079

start page

end page

volume

• 761

issue

• 1