Minimal closed set of observables in the theory of cosmological perturbations. III. Quantum treatment

Physics – Optics

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Wave Generation And Sources

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In two previous papers we have undertaken an analysis of the scalar, vectorial, and tensorial perturbations in Friedmann-Robertson-Walker (FRW) universes. A method which involved only observable, gauge-independent perturbed quantities, considered in the framework of quasi-Maxwellian equations of gravitation, was derived. This method made it possible to obtain a Hamiltonian treatment of the perturbed FRW cosmology without the entailed ambiguities regarding gauge choices. Now we carry this Hamiltonian treatment to its full extent by advancing one step further in order to perform the quantization of all three perturbation types. This is done by following the standard semiclassical procedure and employing the quantum optics formalism to solve the Schro¨dinger equation and obtain all relevant quantities in this framework.

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