Monday, 17 October 2016

quantum mechanics - Conjugate Variables, Noether's Theorem and QM


What is the underlying reason that the same pairs of conjugate variables (e.g. energy & time, momentum & position) are related in Noether's theorem (e.g. time symmetry implies energy conservation) and likewise in QM (e.g. $\Delta E \Delta t \ge \hbar$)?





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