New Energy-Momentum and Angular Momentum Tensors with Applications to Nucleon Structure

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.