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PRODID:UW-Madison-Physics-Events
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SEQUENCE:0
UID:UW-Physics-Event-3053
DTSTART:20130924T170500Z
DURATION:PT1H0M0S
DTSTAMP:20260419T212143Z
LAST-MODIFIED:20130829T202409Z
LOCATION:4274 Chamberlin (refreshments will be served)
SUMMARY:Hydrogen energy levels in n dimensions via group theory\, Chao
 s & Complex Systems Seminar\, Adam Bincer\, UW Department of Physics
DESCRIPTION:My talk is a generalization to n dimensions of a brilliant
  group-theoretical treatment of the hydrogen energy levels by Pauli in
  1926. To start I define the concept of a group and discuss cyclic gro
 ups as a simple example. Then the rotation group in two dimensions is 
 introduced to get us started on Lie groups. From there it is just a sh
 ort hop to rotations in n dimensions. Along the way I introduce the id
 ea of matrices - hopefully all this mathematics will be introduced gen
 tly enough so as not to turn the non mathematicians in the audience co
 mpletely off. I then turn to the non-relativistic hydrogen atom in n d
 imensions and show how it is governed by the rotation group in (n+1) d
 imensions. I conclude with some anecdotes about Pauli. 
URL:https://www.physics.wisc.edu/events/?id=3053
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