Lattice Refining LQC and the Matter Hamiltonian

Details Lattice Refining LQC and the Matter Hamiltonian Lattice Refining LQC and the Matter Hamiltonian

2007-07-04

arxiv.org/abs/0707.0588v2

Phys.Rev.D76:104003,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 3 figures, revtex style; amended version to match publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.76.104003

In the context of loop quantum cosmology, we parametrise the lattice refinement by a parameter, $A$, and the matter Hamiltonian by a parameter, $\delta$. 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, $(A,\delta)$, parameter space, thereby restricting the types of matter content that can be supported by a particular lattice refinement model.

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