Third quantization of Brans-Dicke cosmology

We study the third quantization of a Brans-Dicke toy model, we calculate th e number density of the universes created from nothing and found that it ha s a Planckian form. Also, we calculated the uncertainty relation for this m odel by means of functional Schrodinger equation and we found that fluctuat ions of the third-quantized universe field tends to a finite limit in the c ourse of cosmic expansion. (C) 2001 Elsevier Science B.V. All rights reserv ed.