SUBENOY CHAKRABORTY

Department of Mathematics, Jadavpur University, Kolkata 700 032, India
Present address: Inter-University Centre for Astronomy and Astrophysics (IUCAA), Post Bag 4, Ganeshkhind, Pune 110 007, India

Email: subenoy@juphys.ernet.in

Abstract.

Using non-minimally coupled scalar--tensor theory in homogeneous and isotropic cosmological model, quantum cosmology has been developed for Ashtekar variables. The wave function has been evaluated by solving the Wheeler-Dewitt (WD) equation and also using path integral formulation. Semi-classical limit using WKB approximation has also been discussed. Finally, the quantum Bohmian trajectories has been studied in detail.

Keywords:  Quantum cosmology; non-minimally coupled; Bohmian trajectories.

Pacs Nos.  04.20.Cv; 98.80.Hw