Abstract:

A Robertson-walker universe coupled to a conformally invariant scalar field is quantized following the canonical formalism for constrained Hamiltonian systems, The exact solution is found to corresponding wheeler-Dewitt equation. It is shown that in the case under discussion the parameter vanishing. The parameter p denotes some factor-ordering ambiguty in the Quantum Gravitational Theory. It is also shown that the extreme value of the scale factor of the universe is the order of planck length.

Key words: Quantization, Conformally Invariant Scalar Field, Planck length, Wheeler-Dewitt Equation