Quantum dynamics of Friedmann’s universe
- Authors: Burlankov D.E.1
-
Affiliations:
- N. I. Lobachevsky Nizhny Novgorod University
- Issue: Vol 22, No 1 (2016)
- Pages: 64-70
- Section: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176008
- DOI: https://doi.org/10.1134/S0202289316010047
- ID: 176008
Cite item
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 εn = ±\(\sqrt {2n} \). Three Hilbert spaces are connected with this equation. We study the dynamics of wave packets on the basis of a small number of eigenfunctions.
About the authors
D. E. Burlankov
N. I. Lobachevsky Nizhny Novgorod University
Author for correspondence.
Email: burlankov@nifti.unn.ru
Russian Federation, Nizhny Novgorod, 603900
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