[seminar] DANAS: T.R.Govindarajan,31.05.,11c.t., seminar ZTFa

[Larisa Jonke]

  INSTITUT "Ruder Boskovic"
    ZAVOD ZA TEORIJSKU FIZIKU
    Bijenicka c. 54, Zagreb, Hrvatska

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                       SEMINAR  TEORIJSKE  FIZIKE

   (Zajednicki seminari Fizickog odsjeka PMF-a te Zavoda za teorijsku
  fiziku
  i Zavoda za eksperimentalnu fiziku IRB-a)

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  "Life at the Edge: Novel bound states on manifolds with boundary"

  T. R. Govindarajan
  Chennai Mathematical Institute, Kelambakkam, India

  Datum: petak, 31. svibnja 2013.
  Vrijeme: 11 sati c.t.
  Mjesto: seminar Zavoda za teorijsku fiziku, IRB

Abstract:
We solve for the spectrum of the Laplacian as a Hamiltonian on R^2-D
and in  R^3-B. A self-adjointness analysis with \partial D and  
\partial B as the  boundary for  the two cases shows that a  general  
class of boundary conditions for which the Hamiltonian operator  is  
essentially self-adjoint are of the mixed (Robin) type. With this  
class of boundary conditions we obtain
"bound state" solutions for the Schroedinger equation. Interestingly, these
  solutions are all localized near the boundary. We further show that  
the number of bound states is finite and is in fact proportional to  
the perimeter or area of the removed disc or ball. We then argue that  
similar considerations should hold for static black hole backgrounds  
with the horizon treated as the boundary. We continue with QFTs on  
such manifolds and find novel features.



  Voditeljica seminara:
  Larisa Jonke
  (larisa at irb dot hr)