标题： 关于在$(1/2,0)\oplus (0,1/2)$表示空间中方程额外解的存在性 显示英文标题

标题： On the existence of additional solutions for equations in the $(1/2,0)\oplus (0,1/2)$ representation space

摘要： 我们分析了Ahluwalia最近提出的用于描述中微子的方程的色散关系。基于Wigner左、右2旋量的规则以及Ryder-Burgard关系，推导出了II型旋量的方程。结果显示这些方程包含类似于Dirac类二阶方程的非因果解。后者以类似的方式获得，前提是我们在推导过程中不施加任何约束。 显示英文摘要

摘要： We analyze dispersion relations of the equations recently proposed by Ahluwalia for describing 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 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 to any constraints in the process of its deriving.