Massive and Massless Quantum Cosmos

The recent analysis of quantum cosmology by S. Gielen [1] is extended by discussing the case of dust (in the flat case). The dependence of the Wheeler-DeWitt equation on the operator ordering of the Hamiltonian in the case of a position dependent mass is explored, together with the Λ dependence. As a main result, it is shown that matter enforces a quantized wave function as a solution of the corresponding Wheeler-DeWitt equation in the anti-de Sitter case.