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Using the methods of loop quantum gravity, we derive a framework fordescribing an inflationary, homogeneous universe in a purely quantum theory.The classical model is formulated in terms of the Ashtekar-Sen connectionvariables for a general subclass of Bianchi class A spacetimes. Thisformulation then provides a means to develop a corresponding quantum theory. Anexact solution is derived for the classical Bianchi type I model and thecorresponding semi-classical quantum state is found to also be an exactsolution to the quantum theory. The development of a normalizable quantum statefrom this exact solution is presented and the implications for thenormalizability of the Kodama state discussed. We briefly consider someconsequences of such a quantum cosmological framework and show that the quantumscale factor of the universe has a continuous spectrum in this model. Thisresult may suggest further modifications that are required to build a moreaccurate theory. We close this study by suggesting a variety of directions inwhich to take the results presented.Comment: 24 pages, submitted to Phys. Rev. D; v2: modifications to some  formulae; v3: Poisson bracket calculation correcte

Inflationary quantum cosmology: General framework and exact Bianchi type I solution