Space adiabatic perturbation theory applied to homogeneous oscillator models shows that backreactions add correction terms to effective Hamiltonians neglected in the Born-Oppenheimer approximation.
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Quantum Cosmological Backreactions II: Purely Homogeneous Quantum Cosmology
Space adiabatic perturbation theory applied to homogeneous oscillator models shows that backreactions add correction terms to effective Hamiltonians neglected in the Born-Oppenheimer approximation.