标题： 规范条件和正则电动力学中的泊松括号 显示英文标题

标题： Lorenz gauge and the Poisson bracket in canonical electromagnetism

摘要： 在电磁学的处理中，通常默认场的矢量势及其共轭动量满足正则泊松括号关系，尽管矢量势的分量受到规范条件的约束。 在这里，我通过在考虑洛伦兹规范约束后剩下的独立场变量上施加泊松括号关系来阐明这是如何发生的。 由于规范条件和相对性原理之间的某种默契，即使在规范固定之后，看似假设的泊松括号仍然正确。 显示英文摘要

摘要： In treatments of electromagnetism, it is often tacitly assumed that the vector potentials of the field and their conjugate momenta satisfy the canonical Poisson bracket relations, despite the fact that the components of the vector potential are constrained by gauge conditions. Here I explicate how this comes about by imposing Poisson bracket relations on the independent field variables remaining after the Lorenz gauge constraint is accounted for. The naively assumed Poisson brackets happens to be correct even after gauge fixing, owing to a conspiracy between the gauge conditions and the principle of relativity.