Quantum cosmological solutions: their dependence on the choice of gauge conditions and physical interpretation

In “extended phase space” approach to quantum geometrodynamics numerical solutions to Schrödinger equation corresponding to various choice of gauge conditions are obtained for the simplest isotropic model. The “extended phase space” approach belongs to those appeared in the last decade in which, as a result of fixing a reference frame, the Wheeler – DeWitt static picture of the world is replaced by evolutionary quantum geometrodynamics. Some aspects of this approach were discussed at two previous PIRT meetings. We are interested in the part of the wave function depending on physical degrees of freedom. Three gauge conditions having a clear physical meaning are considered. They are the conformal time gauge, the gauge producing the appearance of Λ-term in the Einstein equations, and the one covering the two previous cases as asymptotic limits. The interpretation and discussion of the obtained solutions is given.