Djordje Šijački 2004 Class. Quantum Grav. 21 4575 doi:10.1088/0264-9381/21/19/007
embedding for a 3D world spinor equation
Djordje Šijački
Show affiliationsA generic curved spacetime Dirac-like equation in 3D is constructed. It has, owing to the
group deunitarizing automorphism, a physically correct unitarity and flat spacetime particle properties. The construction is achieved by embedding
vector operator Xμ, that plays the role of Dirac's γμ matrices, into
. Decomposition of the unitary irreducible spinorial
representations gives rise to an explicit form of the infinite Xμ matrices.
03.65.Pm Relativistic wave equations
Issue 19 (7 October 2004)
Received 30 April 2004, in final form 30 July 2004
Published 17 September 2004
embedding for a 3D world spinor equation
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