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SUMMARY:Getting to the bottom of Noether's theorem  - John Baez (Universit
 y of California\, Riverside)
DTSTART:20181004T120000Z
DTEND:20181004T130000Z
UID:TALK111850@talks.cam.ac.uk
CONTACT:Dr. Carl Turner
DESCRIPTION:In her paper of 1918\, Noether's theorem relating symmetries a
 nd conserved quantities was formulated in term of Lagrangian mechanics. Bu
 t 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\, whic
 h generalizes easily to quantum mechanics using commutators. This approach
  also gives a version of Noether's theorem for Markov processes. The key q
 uestion then becomes: when\, and why\, do observables generate one-paramet
 er groups of transformations? This question sheds light on why complex num
 bers show up in quantum mechanics.
LOCATION:Potter Room (first floor\, Pav. B)
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