ON THE EXISTENCE OF ADDITIONAL SOLUTIONS OF THE EQUATIONS IN THE (1/2,0)Ĺ(0,1/2) REPRESENTATION SPACE

VALERI V. DVOEGLAZOV

Escuela de Física, Universidad Autónoma de Zacatecas
Antonio Dovalí Jaime s/n, Zacatecas 98068, ZAC., México,

e-mail: VALERI@CANTERA.REDUAZ.MX

Received 7 March 1997

We analyze dispersion relations of the equations recently proposed by Ahluwalia for describing the neutrino. Equations for type-II spinors are deduced on the basis of the Wigner rules for left- and right- 2-spinors and the Ryder-Burgard relation. It is shown that the equations contain acausal solutions which are similar to those of the Dirac-like second-order equation. The latter is obtained in a similar way, provided that we do not apply any constraints in the calculation.

UDC 539.12
PACS 03.65.Pm, 12.90.+b

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