标题： 洛伦兹群(S,0) + (0,S)表示的广义方程推导方法 显示英文标题

标题： Methods for Derivation of Generalized Equations in the (S,0)+(0,S) Representations of the Lorentz Group

摘要： 我们继续讨论相对论量子力学中几个广义化的明确例子。 我们讨论了中微子的广义自旋-1/2方程和光子的自旋-1方程。 通过Gersten-Sakurai方法以及Weinberg关于自旋-1粒子的方程已经被提及。 因此，我们推广了Maxwell和Weyl方程。 特别是，我们在Ahluwalia-Grumiller elko模型中发现了已知解与暗4旋量之间的联系。 它们也不是手征性和螺旋性的本征态。 这些方程可能导致与目前所接受的动力学不同的动力学。 例如，光子可能具有非横波成分，而中微子可能在能量状态和手征性状态下为{\it 不是}。 还考虑了二阶方程。 它们是通过Ryder方法获得的。 显示英文摘要

摘要： We continue the discussion of several explicit examples of generalizations in relativistic quantum mechanics. We discussed the generalized spin-1/2 equations for neutrinos and the spin-1 equations for photon. The equations obtained by means of the Gersten-Sakurai method and those of Weinberg for spin-1 particles have been mentioned. Thus, we generalized the Maxwell and Weyl equations. Particularly, we found connections of the well-known solutions and the dark 4-spinors in the Ahluwalia-Grumiller elko model. They are also not the eigenstates of the chirality and helicity. The equations may lead to the dynamics which are different from those accepted at the present time. For instance, the photon may have non-transverse components and the neutrino may be {\it not} in the energy states and in the chirality states. The second-order equations have been considered too. They have been obtained by the Ryder method.