任意自旋相对论波动方程的群论方法
On the group theoretical approach to relativistic wave equations for arbitrary spin
摘要：
对于具有任意自旋的粒子，建立相对论方程仍然是理论物理中的一个公开挑战。本文研究了推广任意自旋粒子的Dirac和Kemmer Duffin方程的主要代数方法。它被证明，一个不可约的相对论方程制定使用自旋矩阵满足反德西特群的交换关系导致不一致的结果，主要是作为一个后果违反幺正性和外观的质谱，不反映物理现实的基本粒子。然而，辅助条件的引入解决了么正性问题，恢复了质谱的物理意义。通过这些方法得到的方程求解和解决方案的物理性质进行了讨论。
英文摘要：
Formulating a relativistic equation for particles with arbitrary spin remains an open challenge in theoretical physics. In this study, the main algebraic approaches used to generalize the Dirac and Kemmer Duffin equations for particles of arbitrary spin are investigated. It is proved that an irreducible relativistic equation formulated using spin matrices satisfying the commutation relations of the anti-de Sitter group leads to inconsistent results, mainly as a consequence of violation of unitarity and the appearance of a mass spectrum that does not reflect the physical reality of elementary particles. However, the introduction of subsidiary conditions resolves the problem of unitarity and restores the physical meaning of the mass spectrum. The equations obtained by these approaches are solved and the physical nature of the solutions is discussed.
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