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SUMMARY:Alexander Strohmaier (University of Leeds)
DTSTART:20220726T140000Z
DTEND:20220726T150000Z
DTSTAMP:20260801T123507Z
UID:IAMP_seminars/117
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IAMP_seminar
 s/117/">A mathematical analysis of Casimir interactions and determinant fo
 rmulae</a>\nby Alexander Strohmaier (University of Leeds) as part of One w
 orld IAMP mathematical physics seminar\n\n\nAbstract\nI will explain a mat
 hematical treatment of Casimir interactions of perfect conductors in which
  the Casimir energy is written as the trace of an operator without the nee
 d for regularisations. I will also show some consequences of this approach
 \, relations to microlocal analysis\, and will prove a trace formula that 
 allows to compute the Casimir energy in terms of determinants of single la
 yer operators. Such formulae have been derived by other methods in the phy
 sics literature and we will show that all these approaches give the same w
 ell defined Casimir energy.\n\n(Based on joint work with F. Hanisch and A.
  Waters\, as well as numerical work with T. Betcke and X. Sun).\n
LOCATION:https://researchseminars.org/talk/IAMP_seminars/117/
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