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Application of Polynomial su(2) Algebra to a Physical System with Symmetric Rosen-Morse Potential
並列摘要
A novel polynomial su(2) algebra is constructed in a physical system with the symmetric Rosen-Morse potential. Meanwhile, its specific representations are presented spontaneously. The polynomial su(2) algebra can be used as an algebraic technique to solve for the eigenvalues and eigenfunctions of the Hamiltonian with the symmetric Rosen-Morse potential (SRM). The output results from the mentioned algebraic approach allows us to explore the pair of raising and lowering operators Ĵ_± of the polynomial su(2) algebra as a pair of shift operators of our Hamiltonian. In addition, the usual su(2) algebra is obtained naturally from the polynomial su(2) algebra we built, also it reveals that the physical system with the SRM potential has a dynamical su(2) symmetry.
並列關鍵字
無資料延伸閱讀
- Su, J. H. (2005). A study of invariant theory and generalized symmetric polynomial [master's thesis, Tamkang University]. Airiti Library. https://doi.org/10.6846/TKU.2005.00007
- STEFANOV, S. M. (2004). POLYNOMIAL ALGORITHMS FOR PROJECTING A POINT ONTO A REGION DEFINED BY A LINEAR CONSTRAINT AND BOX CONSTRAINTS IN R^n. Journal of Applied Mathematics, 2004(), 409-431. https://doi.org/10.1155/S1110757X04309071
- Ramasamy, R., & Muniyandi, A. P. (2010). Computing the Modular Inverse of a Polynomial Function over GF(2(superscript P)) Using Bit Wise Operation. International Journal of Network Security, 10(2), 107-113. https://doi.org/10.6633/IJNS.201003.10(2).04
- Wang, J., & Shui, S. (2013). Poincaré Bifurcations of Two Classes of Polynomial Systems. Abstract and Applied Analysis, 2013(), 943-954-1195. https://doi.org/10.1155/2013/861329
- Makhlouf, A., & Bousbiat, L. (2015). Periodic Solutions of Some Polynomial Differential Systems in Dimension 3 via Averaging Theory. International Journal of Differential Equations, 2015(), 88-97. https://doi.org/10.1155/2015/263837