Ewa, I.I.Howusu, S.X.K.Lumbi, W.L.2023-12-142023-12-142019-07-181. Brumel R. Analytical solution of the finite quantum square-well problem. Journal of Physics. 2005;38:673-678. 2. Hewitt PG. Conceptual physics. 9th Edition, World Student Series, Brad Lewis/Stone Publishers. 2002;630-631. 3. Anchaver RS. Introduction to nonrelativistic quantum mechanics. Nigeria; 2003. [ISBN: 978-056-139-0, 1-3] 4. Ronald CB. Inverse quantum mechanics of the hydrogen atom: A general solution. Adv. Studies Theor. Phys. 2007;1(8):381- 393. 5. Luca N. The hydrogen atom: A review on the birth of modern quantum mechanics. 2015;1-3https://keffi.nsuk.edu.ng/handle/20.500.14448/6007In our previous work titled “Riemannian Quantum Theory of a Particle in a Finite-Potential Well", we constructed the Riemannian Laplacian operator and used it to obtain the Riemannian Schrodinger equation for a particle in a finite-potential well. In this work, we solved the golden Riemannian Schrodinger equation analytically to obtain the particle energy. The solution resulted in two expressions for the energy of a particle in a finite-potential well. One of the expressions is for the odd energy levels while the other is for the even energy levels.enEnergy; finite-potential; quantum theory; particle; schrodinger equation.Article