Quantum Energy of a Particle in a Finite-potential Well Based Upon Golden Metric Tensor
I. I. Ewa, S. X. K. Howusu, Lucas Williams Lumbi · Physical Science International Journal · 2019
In 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.