arXiv:1001.1252v1 [gr-qc] 8 Jan 2010 Hossein Farajollahi ∗ and Arvin Ravanpak † Department of Physics, University of Guilan, Rasht, Iran (Dated: October 26, 2018) A cosmological description of the universe is proposed in the context of Hamiltonian formulation of a Bianchi IX cosmology minimally coupled to a massless scalar field. The classical and quantum results are studied with special attention to the case of closed Friedmann-Robertson-Walker model. PACS numbers: 04.20.-q; 04.20.Cv; 04.60.Ds; 98.80.Qc Keywords: General Relativity; Quantum Cosmology; Time; Bianchi IX; FRW. $^{∗}$Electronic address: hosseinf@guilan.ac.ir $^{†}$Electronic address: aravanpak@guilan.ac.ir 1 On the Dynamics of Bianchi IX cosmological models Abstract