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Research Article Open access CC BY 4.0

Quantum Energy of a Particle in a Finite-potential Well Based Upon Golden Metric Tensor

I. I. Ewa, S. X. K. Howusu, L. W. Lumbi

Physical Science International Journal · pp. 1–9 · Published 18 Jul 2019

10.9734/psij/2019/v22i330134

Abstract

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.

Energy finite-potential quantum theory particle schrodinger equation

Cited by 1

The Dirac Propagator for One-Dimensional Finite Square Well

P. Kongkhuntod, N. Yongram · Journal of Modern Physics · 2020

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