Riemannian Quantum Theory of a Particle in a Finite-Potential Well
| dc.contributor.author | Ewa, I.I. | |
| dc.contributor.author | Lumbi, W.L. | |
| dc.contributor.author | Howusu, S.X.K. | |
| dc.date.accessioned | 2023-12-14T07:51:39Z | |
| dc.date.available | 2023-12-14T07:51:39Z | |
| dc.date.issued | 2018-12-14 | |
| dc.description.abstract | In this article, the golden Riemannian Laplacian operator was constructed using the golden metric tensor in spherical polar coordinate and was applied to the Schrodinger wave equation in order to obtain the golden Riemannian Schrodinger equation for a particle in a finite-potential well. The results are that the golden Riemannian Laplacian operator and golden Riemannian Schrodinger equation were augmented with additional correction terms; which are not found in the existing equations and can be applied to a finite-potential well problem, so as to obtain the expression for the allowed energy values | en_US |
| dc.identifier.citation | [1] Anchaver, R. S. (2003). Introduction to Non-Relativistic Quantum Mechanics. Nigeria, ISBN: 978-056-139-0, 1-3. [2] Brumel, R. (2005). Analytical Solution of the Finite Quantum Square-Well Problem. Journal of Physics. 38, 673-678. [3] Hewitt, P. G. (2002). Conceptual Physics. 9th Edition, World Student Series, Brad Lewis/Stone Publishers, 630-631. [4] Howusu, S.X.K. (2003a). Riemannian Revolution in Physics and Mathematics. Jos University Press Ltd, Jos, 1-200. [5] Howusu, S. X. K. (2003b). The Natural Philosophy of Quantum Mechanics. 2nd Edition, Jos University Press Ltd., Jos, ISBN: 978-166-073-2, 20-25. [6] Howusu, S. X. K. (2009). The Metric Tensors for gravitational Fields and The Mathematical Principle of Riemannian Theoretical Physics. 1st Edition, Jos University Press Ltd., Jos, ISBN: 978-166-639-0, 121-122. [7] Howusu, S. X. K. (2011). The Golden Metric Tensor in Orthogonal Curvilinear Co-ordinates. 1st Edition, Jos University Press Ltd., Jos, ISBN: 978-166-294-8, 5-6. [8] Jones, E. & Childers, R. (1983). Contemporary College Physics. 3rd Edition, McGraw Hill, New York, 889. [9] Luca, N. (2015). The Hydrogen Atom: A Review on the Birth of Modern Quantum Mechanics. 1-3. | en_US |
| dc.identifier.uri | https://keffi.nsuk.edu.ng/handle/20.500.14448/6010 | |
| dc.language.iso | en | en_US |
| dc.publisher | Department of Physics, Nasarawa State University Keffi | en_US |
| dc.subject | Schrodinger wave equation, Spherical polar coordinate, Golden Riemannian, Laplacian operator, Golden metric tensor | en_US |
| dc.title | Riemannian Quantum Theory of a Particle in a Finite-Potential Well | en_US |
| dc.type | Article | en_US |