Author(s)

Avas Khugaev^1,2, Eugeniya Bibaeva²

¹Department of Mechanical Engineering, New Uzbekistan University, Tashkent, Uzbekistan.
²Institute of Nuclear Physics, Tashkent, Uzbekistan.

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 $\Lambda$ values. It was directly shown that the sensitivity of the energy spectrum of bound states to the change of $\Lambda$ parameter. The obtained results are presented in tables and figures.

Anti de Sitter Space, Schrödinger Equation, Dark Matter, Bound States, The Wave Functions, Eigenstates, Curved Spacetime, Local Interaction Potential

Khugaev, A. and Bibaeva, E. (2025) About the Role of Dark Energy in the Formation of Bound States of Matter in the Early Universe. Journal of Applied Mathematics and Physics, 13, 2764-2774. doi: 10.4236/jamp.2025.138157.