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Quantum dynamics of Friedmann’s universe

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Abstract

In the dynamics of three-dimensional space in global time, the global scale takes the form of a discrete variable whose dynamics is described by Friedmann models. Due to a nonzero Hamiltonian, a differential equation is formed for a vacuum configuration. This equation has exact discrete solutions with the spectrum ε n = ±\(\sqrt {2n} \). Three Hilbert spaces are connected with this equation. We study the dynamics of wave packets on the basis of a small number of eigenfunctions.

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Correspondence to D. E. Burlankov.

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Burlankov, D.E. Quantum dynamics of Friedmann’s universe. Gravit. Cosmol. 22, 64–70 (2016). https://doi.org/10.1134/S0202289316010047

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  • DOI: https://doi.org/10.1134/S0202289316010047

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