ELECTROMAGNETIC PHENOMENA   2006, Vol.6, No.2(17)  137-147

 

PACS №: 03.65.Pm; 14.60.Cd

M. Napsuciale, M.G. Carrillo-Ruiz

Instituto de Física, Universidad de Guanajuato
Lomas del Bosque 103, Fracc. Lomas del Campestre,
37150, León Guanajuato, México

Planar Electrons from First Principles

Abstract

In this work we construct spinors describing planar electrons ("spin" 1/2 particles with well defined parity) in d=1+2 from first principles and show that they satisfy Dirac equation, which turns out to be the covariant form of the eigenvalue equation for intrinsic parity just like in d=1+3. We stick to the conventional definition of parity as space inversion. In this picture, the fermion mass term is invariant under parity and time reversal. An explicit construction of charge conjugation operator, and a non-relativistic expansion of the gauged Dirac equation shows that "spin" 1/2 planar fermions have fixed "spin" projection.

 
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