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SUMMARY:Emergence of stochastic quasi-classical wavefunction of the Univer
 se from the third quantization procedure - Pavel Ivanov (Lebedev Physical 
 Institute)
DTSTART:20160318T130000Z
DTEND:20160318T140000Z
UID:TALK64006@talks.cam.ac.uk
CONTACT:43345
DESCRIPTION:We study quantized solutions to the Wheeler de Witt (WdW) equa
 tion\ndescribing a closed Friedmann-Robertson-Walker universe with a Λ te
 rm and a\nset of massless scalar fields. We show that when Λ ≪1 in the 
 natural units\nand the standard in-vacuum state is considered\, either wav
 e function of the\nuniverse\, Ψ \, or its derivative with respect to the 
 scale factor\, a \,\nbehave as random quasiclassical fields at sufficientl
 y large values of a.\nThe former case is realized when 1 ≪a ≪e2/3 Λ \
 , while the latter is valid\nwhen a ≫e2/3 Λ . The statistical rms value
  of the wave function is\nproportional to the Hartle-Hawking wave function
 . Alternatively\, the\nbehavior of our system at large values of a can be 
 described in terms of a\ndensity matrix corresponding to a mixed state\, w
 hich is directly determined\nby statistical properties of Ψ. We suppose t
 hat a similar behavior of Ψ can\nbe found in all models exhibiting copiou
 s production of excitations with\nrespect to the out-vacuum state associat
 ed with classical trajectories at\nlarge values of a. Thus\, the third qua
 ntization procedure may provide a\n"boundary condition" for classical solu
 tions to the WdW equation. Contrary\nto the previous proposals\, in our ca
 se either Ψ can be regarded as a\nstochastic classical quantity or the sy
 stem can be viewed as being in a\nmixed state defined over classical solut
 ions to the WdW equation.
LOCATION:Pavilion B Potter Room (B1.19)
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