Bohmian Time Versus Probabilistic Time

One of the basic peoblems of quantum cosmology is the problem of time. Various solutions have been proposed for this problem. One approach is to use the Bohmian time. Another Approach is to use the probabilistic time which was recently introduced by Castagnino. We consider both of these definitions as generalizations of a semi-classical time and compare them for a mini-super space. I. INTRODUCTION In quantum cosmology, the universe is described by a wave function /. This wave function can be obtained as a solution of the Wheeler-DeWit equation (WDW) with appropriate boundary conditions. This equation is the relevant Schrodinger equation (H/ = i¯h @/ @t ) which is obtained from the classical theory, using the Dirac quantization prescription. Since the general covariance of the classical theory gives the classical Hamiltonian as a subsidiary con- E-mail:ablhasan@netware2.ipm.ac.ir dition (H = 0), the solutions of the WDW equation are time-independent. But how can a time-independent ..