2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/193032In the context of loop quantum cosmology, we parametrise the lattice refinement by a parameter, $A$, and the matter Hamiltonian by a parameter, $δ$. We then solve the Hamiltonian constraint for both a self-adjoint, and a non-self-adjoint Hamiltonian operator. Demanding that the solutions for the wave-functions obey certain physical restrictions, we impose constraints on the two-dimensional, $(A,δ)$, parameter space, thereby restricting the types of matter content that can be supported by a particular lattice refinement model.15 pages, 3 figures, revtex style; amended version to match publication in Phys. Rev. DGeneral Relativity and Quantum CosmologyAstrophysicsHigh Energy Physics - ExperimentHigh Energy Physics - PhenomenologyHigh Energy Physics - Theorytext