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Universe, Volume 9, Issue 11

November 2023 - 30 articles

Cover Story: In this paper, we study analytical approximate solutions for second-order homogeneous differential equations with the existence of only two turning points (but without poles) by using the uniform asymptotic approximation (UAA) method. To be more concrete, we consider the Pöschl–Teller (PT) potential, for which analytical solutions are known. Depending on the values of the parameters involved in the PT potential, we find that the upper bounds of the errors of the approximate solutions in general are ≲0.15∼10% for the first-order approximation of the UAA method. The approximations can be easily extended to high orders, for which the errors are expected to be much smaller. Such obtained analytical solutions can be used to study cosmological perturbations in the framework of quantum cosmology as well as quasi-normal modes of black holes. View this paper
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Articles (30)

  • Article
  • Open Access
2 Citations
2,796 Views
18 Pages

Vacuum Energy, the Casimir Effect, and Newton’s Non-Constant

  • Benjamin Koch,
  • Christian Käding,
  • Mario Pitschmann and
  • René I. P. Sedmik

8 November 2023

The idea of quantum mechanical vacuum energy contributing to the cosmological vacuum energy density is not new. However, despite the persisting cosmological constant problem, few investigations have focused on this subject. We explore the possibility...

  • Article
  • Open Access
2 Citations
2,811 Views
18 Pages

Statistical and Radio Analysis of Exoplanets and Their Host Stars

  • Baoda Li,
  • Liyun Zhang,
  • Tianhao Su,
  • Xianming L. Han,
  • Prabhakar Misra and
  • Liu Long

8 November 2023

As of February 2022, over 4900 exoplanets have been confirmed. In this study, we conducted statistical analyses on both the exoplanets and their host stars’ parameters. Our findings suggest that the radius and true mass distribution of the exop...

  • Article
  • Open Access
2 Citations
2,234 Views
19 Pages

Ionospheric Response on Solar Flares through Machine Learning Modeling

  • Filip Arnaut,
  • Aleksandra Kolarski,
  • Vladimir A. Srećković and
  • Zoran Mijić

7 November 2023

Following solar flares (SF), the abrupt increase in X-radiation and EUV emission generates additional ionization and higher absorption of, e.g., electromagnetic waves in the sunlit hemisphere of the Earth’s ionosphere. The modeling of the ionos...

  • Article
  • Open Access
5 Citations
2,900 Views
10 Pages

How Long Does the Hydrogen Atom Live?

  • David McKeen and
  • Maxim Pospelov

4 November 2023

It is possible that the proton is stable while atomic hydrogen is not. This is the case in models with new particles carrying baryon number which are light enough to be stable themselves, but heavy enough so that proton decay is kinematically blocked...

  • Article
  • Open Access
8 Citations
2,370 Views
25 Pages

Neutrino Mixing Sum Rules and the Littlest Seesaw

  • Francesco Costa and
  • Stephen F. King

31 October 2023

In this work, we study the neutrino mixing sum rules arising from discrete symmetries and the class of Littlest Seesaw (LS) neutrino models. These symmetry-based approaches all offer predictions for the cosine of the leptonic CP phase cosδ...

  • Article
  • Open Access
4 Citations
2,515 Views
26 Pages

Uniform Asymptotic Approximation Method with Pöschl–Teller Potential

  • Rui Pan,
  • John Joseph Marchetta,
  • Jamal Saeed,
  • Gerald Cleaver,
  • Bao-Fei Li,
  • Anzhong Wang and
  • Tao Zhu

31 October 2023

In this paper, we study analytical approximate solutions for second-order homogeneous differential equations with the existence of only two turning points (but without poles) by using the uniform asymptotic approximation (UAA) method. To be more conc...

  • Review
  • Open Access
1 Citations
2,184 Views
26 Pages

31 October 2023

A review of the basic Hansen’s ideal frame algorithms for accurate numerical integration of perturbed elliptic motion is carried out. The fundamental approaches rely on the use of nonsingular variables and differ in the ways in which the ellips...

  • Article
  • Open Access
2 Citations
2,538 Views
14 Pages

31 October 2023

The unimodular theory of gravity is an alternative perspective to the traditional general relativity of Einstein and opens new possibilities for exploring its implications in cosmology. In this paper, we investigated Unimodular Gravity (UG) with the...

  • Article
  • Open Access
3 Citations
2,471 Views
16 Pages

A Meteor Detection Algorithm for GWAC System

  • Yicong Chen,
  • Guangwei Li,
  • Cuixiang Liu,
  • Bo Qiu,
  • Qianqian Shan and
  • Mengyao Li

30 October 2023

Compared with the international meteor surveillance systems, the ground wide angle camera (GWAC) system exhibits characteristics such as images with the resolution of 4K × 4K and single-site observation. These characteristics present challenges...

  • Article
  • Open Access
7 Citations
3,545 Views
15 Pages

30 October 2023

The recently obtained special Buchdahl-inspired metric Phys. Rev. D 107, 104008 (2023) describes asymptotically flat spacetimes in pure Ricci-squared gravity. The metric depends on a new (Buchdahl) parameter k˜ of higher-derivative characterist...

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Universe - ISSN 2218-1997