University of Cambridge > Talks.cam > Quantum Fields and Strings Seminars > Getting to the bottom of Noether's theorem

Getting to the bottom of Noether's theorem

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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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