Factor ordering in standard quantum cosmology
Roman ŠteiglFaculty of Science, Masaryk University, Kotlářská 2, 611 37 Brno, Czech RepublicFranz HinterleitnerDepartment of Theoretical Physics and Astrophysics,
ABI
Abstract
The Wheeler-DeWitt equation of Friedmann models with a massless quantum field is formulated with arbitrary factor ordering of the Hamiltonian constraint operator. A scalar product of wave functions is constructed, giving rise to a probability interpretation and making comparison with the classical solution possible. In general the bahaviour of the wave function of the model depends on a critical energy of the matter field, which, in turn, depends on the chosen factor ordering. By certain choices of the ordering the critical energy can be pushed down to zero.
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