https://doi.org/10.1140/epjp/s13360-025-06257-5
Regular Article
Wormholes-like solutions in quantum cosmology with radiation, negative cosmological constant and Pöschl–Teller potential
1
Departamento de Modelagem Computacional, Instituto Politécnico, Universidade do Estado do Rio de Janeiro, 28625-570, Nova Friburgo, RJ, Brazil
2
Departamento de Física, Centro de Ciências Exatas, Universidade Federal do Espírito Santo, 29075-910, Vitória, ES, Brazil
3
Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Juiz de Fora, 36036-330, Juiz de Fora, Minas Gerais, Brazil
4
Departamento de Matemática, Física e Computação, Faculdade de Tecnologia, Universidade do Estado do Rio de Janeiro, 27537-000, Resende, RJ, Brazil
5
Departamento de Engenharia Mecânica e Energia, Instituto Politécnico, Universidade do Estado do Rio de Janeiro, 28625-570, Nova Friburgo, RJ, Brazil
6
Universidade Estadual de Santa Cruz, 45662-900, Ilhéus, BA, Brazil
Received:
6
February
2025
Accepted:
24
March
2025
Published online:
21
April
2025
In this work, we analyze a quantum cosmology model with three components: radiation fluid; negative cosmological constant term; and a Bose–Einstein condensate described by the Pöschl–Teller potential. At the classical level, all cosmological solutions of the model exhibit big bang-type singularities. Through quantization in minisuperspace, the singularities are removed by wavefunction solutions of the Universe in the form of wormholes from the Wheeler–DeWitt equation. These solutions and the corresponding energy spectrum are obtained using the Galerkin method. We also construct normalized wave packets and verify, within the many-worlds interpretation of quantum mechanics, that the expected value of the Universe’s scale factor never vanishes.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
