自由相对论量子力学二重系统的赝幺正动力学
Pseudo-Unitary Dynamics of Free Relativistic Quantum Mechanical Twofold Systems
摘要：
建立了一个有限维赝幺正框架，用于描述自由基本粒子的动力学行为。任何单个粒子或反粒子的状态都被定义为属于两个复维空间的适当规范化向量，这些复维空间发生在Cartan空间的同构副本的局部正交分解中。相应的动力学变量，从而显示为有界的伪厄米算子的限制，拥有真正的离散谱。任何测量过程都必须在正交的真洛仑兹标架中局部进行，但典型的观测关联用符号构形表示，这些构形来自SU（2，2）充分实现的庞加莱子群的状态向量空间上的协变作用。整体的方法原来提供了一个所谓的自然描述的动力学的自由二重系统在平坦的时空。这里设计的主要观点之一提出了有条不紊地进行一个新的相对论量子信息理论的背景建设的可能性。
英文摘要：
A finite-dimensional pseudo-unitary framework is set up for describing the dynamics of free elementary particles in a purely relativistic quantum mechanical way. States of any individual particles or antiparticles are defined as suitably normalized vectors belonging to the two-complex-dimensional spaces that occur in local orthogonal decompositions of isomorphic copies of Cartan's space. The corresponding dynamical variables thus show up as bounded pseudo-Hermitian operator restrictions that possess real discrete spectra. Any measurement processes have to be performed locally in orthocronous proper Lorentz frames, but typical observational correlations are expressed in terms of symbolic configurations which come from the covariant action on spaces of state vectors of the Poincaré subgroup of an adequate realization of SU(2,2). The overall approach turns out to supply a supposedly natural description of the dynamics of free twofold systems in flat spacetime. One of the main outlooks devised here brings forward the possibility of carrying out methodically the construction of a background to a new relativistic theory of quantum information.
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。
