  Bouncing models are alternatives to inflationary cosmology that replace the
initial Big-Bang singularity by a `bouncing' phase. A deeper understanding of
the initial conditions of the universe, in these scenarios, requires knowledge
of quantum aspects of bouncing models. In this work, we propose two classes of
bouncing models that can be studied with great analytical ease and hence,
provide test-bed for investigating more profound problems in quantum cosmology
of bouncing universes. Our model's two key ingredients enable us to do
straightforward analytical calculations: (i) a convenient parametrization of
the minisuperspace of FRLW spacetimes and (ii) two distinct choices of the
effective perfect fluids that source the background geometry of the bouncing
universe. We study the quantum cosmology of these models using both the
Wheeler-de Witt equations and the path integral approach. In particular, we
found a bouncing model analogue of the no-boundary wavefunction and presented a
Lorentzian path integral representation for the same. We also discuss the
introduction of real scalar perturbations.
