La Trobe
Deutscher Broadbridge 2020.pdf (390.17 kB)

Solution of Non-Autonomous Schrödinger Equation for Quantized de Sitter Klein-Gordon Oscillator Modes Undergoing Attraction-Repulsion Transition

Download (390.17 kB)
journal contribution
posted on 2021-01-14, 05:34 authored by Philip BroadbridgePhilip Broadbridge, K Deutscher
© 2020 by the authors. Licensee MDPI, Basel, Switzerland. For a scalar field in an exponentially expanding universe, constituent modes of elementary excitation become unstable consecutively at shorter wavelength. After canonical quantization, a Bogoliubov transformation reduces the minimally coupled scalar field to independent 1D modes of two inequivalent types, leading eventually to a cosmological partitioning of energy. Due to accelerated expansion of the coupled space-time, each underlying mode transits from an attractive oscillator with discrete energy spectrum to a repulsive unit with continuous unbounded energy spectrum. The underlying non-autonomous Schrodinger equation is solved here as the wave function evolves through the attraction-repulsion transition and ceases to oscillate.

Funding

The second author gratefully acknowledges support of the Australian Research Council for project DP160101366.

History

Publication Date

2020-01-01

Journal

Symmetry

Volume

12

Issue

6

Article Number

943

Pagination

24p. (p. 1-24)

Publisher

MDPI

ISSN

2073-8994

Rights Statement

The Author reserves all moral rights over the deposited text and must be credited if any re-use occurs. Documents deposited in OPAL are the Open Access versions of outputs published elsewhere. Changes resulting from the publishing process may therefore not be reflected in this document. The final published version may be obtained via the publisher’s DOI. Please note that additional copyright and access restrictions may apply to the published version.

Usage metrics

    Journal Articles

    Categories

    No categories selected

    Licence

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC