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PRODID:UW-Madison-Physics-Events
BEGIN:VEVENT
SEQUENCE:0
UID:UW-Physics-Event-2189
DTSTART:20110606T150000Z
DURATION:PT1H0M0S
DTSTAMP:20260311T154336Z
LAST-MODIFIED:20110609T170128Z
LOCATION:5280 Chamberlin
SUMMARY:The Casimir effect in two dimensions and the Weyl problem\, Co
 ndensed Matter Theory Group Seminar\, Luke Langsjoen\, University of V
 irginia
DESCRIPTION:A field theoretical technique for a massless scalar field 
 is used to calculate the Casimir energy of the modes removed by the in
 troduction of a smooth\, Dirichlet boundary into two dimensional space
 .  There are formally divergent\, cutoff dependent parts of the Casimi
 r energy that are disregarded as unphysical in many treatments of the 
 Casimir effect.  However\, we show that these contributions are relate
 d to geometric properties of the boundary and may be physically releva
 nt.  These formally divergent contributions are shown to be closely re
 lated to the Weyl problem of the asymptotic distribution of the eigenv
 alues of the Laplacian.  Our results explain why formal regularization
  techniques fail in even dimension\, and we correct the sign of the va
 cuum induced coefficient of linear tension given in previous treatment
 s. <br><br>
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URL:https://www.physics.wisc.edu/events/?id=2189
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