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SUMMARY:Enhanced binding due to the quantized radiation field - Knenberg\,
  M (Universitt Wien)
DTSTART:20120730T101500Z
DTEND:20120730T110000Z
UID:TALK39085@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider the non- and semi-relativistic Pauli-Fierz models 
 for a single electron in an electrostatic potential interacting with the q
 uantized radiation field. We prove that the ability of the system to bind 
 the electron is enhanced in both models in the sense that coupling constan
 t thresholds for certain classes of weak potentials are strictly decreased
  by the radiation field. Furthermore\, we show that binding energies are a
 lways increased by the radiation field. The new achievementis that the occ
 urrence of these effects is established\, for arbitrary large values of th
 e fine-structure constant and the ultra-violet cutoff. As a byproduct we d
 etermine the leading asymptotics of the ground state energy of the free\, 
 translation invariant semi-relativistic Pauli-Fierz Hamiltonian\,as the ul
 tra-violet cutoff goes to infinity. \n\n
LOCATION:Seminar Room 1\, Newton Institute
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