G. A. Monerat, F. G. Alvarenga, G. Oliveira-Neto, E. V. Corrêa Silva, J. C. G. Tedesco, A. Monteiro, N. M. N. da Rocha
{"title":"Wormholes-like solutions in quantum cosmology with radiation, negative cosmological constant and Pöschl–Teller potential","authors":"G. A. Monerat, F. G. Alvarenga, G. Oliveira-Neto, E. V. Corrêa Silva, J. C. G. Tedesco, A. Monteiro, N. M. N. da Rocha","doi":"10.1140/epjp/s13360-025-06257-5","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 4","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-025-06257-5","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
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.
期刊介绍：
The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
