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A new model is studied which describes the quantum behavior of transitionsthrough an isotropic quantum cosmological bounce in loop quantum cosmologysourced by a free and massless scalar field. As an exactly solvable model evenat the quantum level, it illustrates properties of dynamical coherent statesand provides the basis for a systematic perturbation theory of loop quantumgravity. The detailed analysis is remarkably different from what is known forharmonic oscillator coherent states. Results are evaluated with regard to theirimplications in cosmology, including a demonstration that in general quantumfluctuations before and after the bounce are unrelated. Thus, even within thissolvable model the condition of classicality at late times does not implyclassicality at early times before the bounce without further assumptions.Nevertheless, the quantum state does evolve deterministically through thebounce.Comment: 30 pages, 3 figure

Dynamical coherent states and physical solutions of quantum cosmological bounces