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Third quantization formalism for Hamiltonian cosmologies

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Abstract

Within the ADM technique of Hamiltonian cosmology, in the case of Bianchi class A models, we introduce a Fock-like, field theoretical approach to the description of quantum cosmology. We then calculate the total transition amplitude between two quantum states of the state functional of the ADM geometry.

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Caderni, N., Martellini, M. Third quantization formalism for Hamiltonian cosmologies. Int J Theor Phys 23, 233–249 (1984). https://doi.org/10.1007/BF02080689

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