新的能量动量张量和Angular Momentum张量及其在核子结构中的应用
New Energy-Momentum and Angular Momentum Tensors with Applications to Nucleon Structure
摘要:
提出了一种新的能量动量张量和角动量张量。它们是由量子测量中的一个特殊考虑激发的:给定一个波在多个物理观测量的互本征态中,相应的物理电流应该彼此成比例。有趣的是,这个判据否定了传统的能量动量张量的正则表达式和对称表达式,以及与之相关的角动量张量的表达式。我们提出的新张量可以从一个具有二阶导数的拉格朗日量导出为Noether流,为核子结构的研究提供了新的思路。
英文摘要:
We present a new type of energy-momentum tensor and angular momentum tensor. They are motivated by a special consideration in quantum measurement: Given a wave in mutual eigen-state of more than one physical observables, the corresponding physical currents should be proportional to each other. Interestingly, this criterion denies the traditional canonical and symmetric expressions of energy-momentum tensor and their associated expressions of angular momentum tensor. The new tensors we propose can be derived as Noether currents from a Lagrangian with second derivative, and shed new light on the study of nucleon structures.
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