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CATEGORIES:Quantum Fields and Strings Seminars
SUMMARY:Getting to the bottom of Noether's theorem - John
Baez (University of California\, Riverside)
DTSTART;TZID=Europe/London:20181004T130000
DTEND;TZID=Europe/London:20181004T140000
UID:TALK111850AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/111850
DESCRIPTION:In her paper of 1918\, Noether's theorem relating
symmetries and conserved quantities was formulated
in term of Lagrangian mechanics. But if we want t
o make the essence of this relation seem as self-e
vident as possible\, we can turn to a formulation
in term of Poisson brackets\, which generalizes ea
sily to quantum mechanics using commutators. This
approach also gives a version of Noether's theorem
for Markov processes. The key question then becom
es: when\, and why\, do observables generate one-p
arameter groups of transformations? This question
sheds light on why complex numbers show up in quan
tum mechanics.
LOCATION:Potter Room (first floor\, Pav. B)
CONTACT:Dr. Carl Turner
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