Lorentz群（S，0）+（0，S）表示中广义方程的推导方法
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性量子力学中推广的几个明确的例子。我们讨论了中微子的广义自旋1/2方程和光子的广义自旋1方程。文中还提到了用Gersten-Sakurai方法和Weinberg方法得到的自旋为1的粒子的方程。因此，我们推广了麦克斯韦和外尔方程。特别是，我们发现了著名的解决方案和暗4旋量的Ahluwalia-Grumiller elko模型。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不同的动力学。例如，光子可以具有非横向分量，并且中微子在能态和手征态中可以是{ \it not}。二阶方程也被考虑。它们是用Ryder方法得到的。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
