Casimir effect

Casimir effect

1. Topics

   • asdf asda
   • Toy calculation
     • 1+1? or 1+3?
   • Historical calculation
     • check for conceptuals  missholes, do carefully all steps
     • use EM-formula to argue the firstchange of sum and integral
     • Try to undestand why he didnt need laurent series
   • Field theory calculation
     • Delta potentials
       • 1+1 for sure 1+3 also, just to check for casimirs result
     • Backgound couple with fermions?
   • Appendix
     • Field theory
       • Cannonical stress-energy tensor plus calculation via variation with coupling to background
     • EM-formula
       • Not sure how to prove this yet
   • Real materials?
     • Emisivity and reflectivity
     • Lifshits formula
   • Introduction
     • Few words abou the effect and then u need to derive the sum  formula - optics, basic QM.

2. New Things

   • Connection btwen regularizations
     • not sure if needed

3. Questions

   • Dimension of epsilon
   • limit behaviour of f(0)Pepsilon
   • Didnt casimir just chage k_z to n integration variable??
   • Initial sum vs integral??

4. Papers

   • spectral fce - https://arxiv.org/pdf/hep-th/0104025.pdf connections http://cds.cern.ch/record/275785/files/9501122.pdf delta fce potentials https://arxiv.org/pdf/hep-th/0401090.pdf https://arxiv.org/pdf/hep-th/9901011.pdf
   • TM&TE ??
     • https://www.youtube.com/watch?v=6i3EVD5dmOY https://en.wikipedia.org/wiki/Normal_mode#Mode https://www.testandmeasurementtips.com/basics-of-tem-te-and-tm-propagation/

5. ToDo

   • exchange sum of integral in main formula vanishing of regions II and IV use EM in 1D
   • 1,.19.
     • MIltons paper- why quantum? strong coupleing limits?
     • Nutshell calculation - try EM formula, try residuim hypotesis with knows reg function