Ermakov approach for minisuperspace oscillators

Details Ermakov approach for minisuperspace oscillators Ermakov approach for minisuperspace oscillators

1999-08-09

arxiv.org/abs/gr-qc/9908028v2

Int.J.Theor.Phys. 41 (2002) 39-43

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 LaTex pages, ICSSUR 6 talk by H.C. Rosu, to be published in the NASA/CP series, some mathematical misprints corrected

Scientific paper

The WDW equation of arbitrary Hartle-Hawking factor ordering for several minisuperspace universe models, such as the pure gravity FRW and Taub ones, is mapped onto the dynamics of corresponding classical oscillators. The latter ones are studied by the classical Ermakov invariant method, which is a natural aproach in this context. For the more realistic case of a minimally coupled massive scalar field, one can study, within the same type of approach, the corresponding squeezing features as a possible means of describing cosmological evolution. Finally, we comment on the analogy with the accelerator physics

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