Getting to the bottom of Noether's theorem

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• John Baez (University of California, Riverside)
• Thursday 04 October 2018, 13:00-14:00
• Potter Room (first floor, Pav. B).

If you have a question about this talk, please contact Dr. Carl Turner.

In her paper of 1918, Noether’s theorem relating symmetries and conserved quantities was formulated in term of Lagrangian mechanics. But if we want to make the essence of this relation seem as self-evident as possible, we can turn to a formulation in term of Poisson brackets, which generalizes easily to quantum mechanics using commutators. This approach also gives a version of Noether’s theorem for Markov processes. The key question then becomes: when, and why, do observables generate one-parameter groups of transformations? This question sheds light on why complex numbers show up in quantum mechanics.

This talk is part of the Quantum Fields and Strings Seminars series.

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