[seminar] 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
 
 (Zajednički seminari Fizičkog 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)