Bulletin of Computational Applied Mathematics (Bull CompAMa)
The mathematical physical meaning of the Rarita Schwinger equation factored by a weighted Dirac operator, Part I
Benjamín de Zayas, Carmen Judith Vanegas
In this article we give a tour through Physics to explain the meaning of the Rarita Schwinger equation and determine its relationship with the Clifford algebras. We also relate the proposed first operators of Rarita Schwinger with the recent operators of that type, given mathematically taking the physical constants as unitary. Finally motivated by the physical applications of considering a weighted Dirac operator, we propose a new Rarita Schwinger type operator and discuss some possible applications.
Keywords: Rarita Schwinger equation; Clifford algebras; weighted Dirac operator.