相对论几何与量子电动力学
Relativistic Geometry and Quantum Electrodynamics
摘要:
相对论几何的激发被用来代表量子电动力学理论。连接激励和框架激励分别归结为电磁场算符和电子场算符。由于固有的几何代数结构,这些算子遵守QED的标准交换规则。如果我们研究激发,我们需要在考虑微观子系统的演化时使用统计理论。经典统计学的使用,特别是不可逆热力学的技术,确定几何激发的吸收或发射的概率是经典能量密度的函数。几何激发的发射和吸收意味着某些物理变量的离散变化,但概率由其波能量密度决定。因此,这种几何理论,在不违背量子物理学基本方面的情况下,为理论提供了几何基础。
英文摘要:
Excitations of a relativistic geometry are used to represent the theory of quantum electrodynamics. The connection excitations and the frame excitations reduce, respectively, to the electromagnetic field operator and electron field operator. Because of the inherent geometric algebraic structure these operators obey the standard commutation rules of QED. If we work with excitations, we need to use statistical theory when considering the evolution of microscopic subsystems. The use of classical statistics, in particular techniques of irreversible thermodynamics, determine that the probability of absorption or emission of a geometric excitation is a function of the classical energy density. Emission and absorption of geometric excitations imply discrete changes of certain physical variables, but with a probability determined by its wave energy density. Hence, this geometric theory, without contradicting the fundamental aspects of quantum physics, provides a geometric foundation for the theory.
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