- 期刊
- OpenAccess
Exact Solutions of the D-dimensional Schrödinger Equation for a Pseudo-Coulomb Potential Plus Ring-Shaped Potential
並列摘要
We present the exact energy bound state solutions of the Schrödinger equation in D-dimensions for an alternative (often used) pseudo-Coulomb potential plus ring-shaped potential of the form V (The equation is abbreviated) The solution was obtained analytically by means of the Nikiforov-Uvarov method. We give a clear recipe of how to obtain an explicit solution to the D-dimensional radial and angular parts of the wave functions in terms of orthogonal polynomials. The total energy of the system is different from the pseudo-Coulomb potential because of the contribution of the angular part. The general results obtained in this work can be reduced to the well-known three-dimensional forms given in the literature.
並列關鍵字
無資料延伸閱讀
- Dias, N. C., & Prata, J. N. (2008). A Multiplicative Product of Distributions and a Global Formulation of the Confined Schrödinger Equation. Journal of Generalized Lie Theory and Applications, 2(3), 137-140. https://www.airitilibrary.com/Article/Detail?DocID=17365279-200809-201012090046-201012090046-137-140
- Hsiao, M. H., & Hayashi, M. (2011). Generalization of the Schrödinger Equation to the Two-Body Bound State: On Strong Coupling Superconductivity. Chinese Journal of Physics, 49(5), 1095-1101. https://www.airitilibrary.com/Article/Detail?DocID=05779073-201110-201111250003-201111250003-1095-1101
- Tsai, Y. A. (2019). Theoretical Studies on the Alternating WKB Approximation to the Schrödinger Equation [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU201900701
- KOUGIAS, I. (1993). THE CAUCHY PROBLEM OF THE ONE DIMENSIONAL SCHRÖDINGER EQUATION WITH NON-LOCAL POTENTIALS. International Journal of Mathematics and Mathematical Sciences, 1993(), 791-794. https://doi.org/10.1155/S0161171293000985
- Deng, G. J. (2017). The Underlying Theory and Special Solutions of Nonlinear Schrödinger equation [master's thesis, National Chiao Tung University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0030-0705201811384635