About the Role of Dark Energy in the Formation of Bound States of Matter in the Early Universe

The JWST observations challenge current ideas about the mechanism of galaxy formation in the early Universe, and lead us to the need to unbiasedly revise our understanding of the nature and role of Dark Matter and Dark Energy in the evolution of the early Universe. This paper is devoted to new aspects revealed in light of the obtained observations. We considered a simple model which shows the influence of Dark Energy on the formation of bound states with local binary interaction potential in the form of the rectangular well. The Schrödinger equation was generalized for the curved space-time with anti de Sitter metric. It found spectrum of bound states and their wave functions with taking into account the parameter of Dark Energy given in terms of Λ values. It was directly shown that the sensitivity of the energy spectrum of bound states to the change of Λ parameter. The obtained results are presented in tables and figures.

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Publication Details

Journal
Journal of Applied Mathematics and Physics
Published
2025-01-01
DOI
https://doi.org/10.4236/jamp.2025.138157
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

About the Role of Dark Energy in the Formation of Bound States of Matter in the Early Universe

A. V. Khugaev, Eugeniya Bibaeva
Journal of Applied Mathematics and Physics
Cosmology and Gravitation Theories
article

About the Role of Dark Energy in the Formation of Bound States of Matter in the Early Universe

A. V. Khugaev, Eugeniya Bibaeva
article en

Abstract

The JWST observations challenge current ideas about the mechanism of galaxy formation in the early Universe, and lead us to the need to unbiasedly revise our understanding of the nature and role of Dark Matter and Dark Energy in the evolution of the early Universe. This paper is devoted to new aspects revealed in light of the obtained observations. We considered a simple model which shows the influence of Dark Energy on the formation of bound states with local binary interaction potential in the form of the rectangular well. The Schrödinger equation was generalized for the curved space-time with anti de Sitter metric. It found spectrum of bound states and their wave functions with taking into account the parameter of Dark Energy given in terms of Λ values. It was directly shown that the sensitivity of the energy spectrum of bound states to the change of Λ parameter. The obtained results are presented in tables and figures.

Journal of Applied Mathematics and PhysicsVol. 13(08)
Openalex Percentile: Top 84%
Cosmology and Gravitation Theories
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