标题： 相干态、真空结构和无限分量相对论波动方程 显示英文标题

标题： Coherent states, vacuum structure and infinite component relativistic wave equations

摘要： 最近的文献中普遍声称，具有内部变量的狄拉克型正能波方程的某些解由非热谱特征。作为该陈述的一部分，曾指出此类方程中涉及的变换和对称性对应于洛伦兹群的特定表示。在本文中，我们给出了这个问题的一般解，并强调了群结构、相应代数和物理谱之间的相互作用。该分析通过强有力的讨论和证明完成，证明了：i) 物理状态由相干态表示；ii) 以前参考文献[1]中的解并不普遍，ii) [1]中所考虑的物理系统的对称性（方程和几何）并不对应于洛伦兹群，而是对应于第四覆盖：辛群 Mp(n)。 显示英文摘要

摘要： It is commonly claimed in the recent literature that certain solutions to wave equations of positive energy of Dirac-type with internal variables are characterized by a non-thermal spectrum. As part of that statement, it was said that the transformations and symmetries involved in equations of such type correspond to a particular representation of the Lorentz group. In this paper we give the general solution to this problem emphasizing the interplay between the group structure, the corresponding algebra and the physical spectrum. This analysis is completed with a strong discussion and proving that: i) the physical states are represented by coherent states; ii) the solutions in previous references [1] are not general, ii) the symmetries of the considered physical system in [1] (equations and geometry) do not correspond to the Lorentz group but to the fourth covering: the Metaplectic group Mp(n).