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

I. I. Ewa *

Department of Physics, Nasarawa State University, P.M.B. 1022, Keffi, Nigeria.

S. X. K. Howusu

National Mathematical Centre, Kwali, Abuja, Nigeria.

L. W. Lumbi

Department of Physics, Nasarawa State University, P.M.B. 1022, Keffi, Nigeria.

*Author to whom correspondence should be addressed.


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.

Keywords: Energy, finite-potential, quantum theory, particle, schrodinger equation


How to Cite

Ewa, I. I., S. X. K. Howusu, and L. W. Lumbi. 2019. “Quantum Energy of a Particle in a Finite-Potential Well Based Upon Golden Metric Tensor”. Physical Science International Journal 22 (3):1-9. https://doi.org/10.9734/psij/2019/v22i330134.

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