Construction of solvable potential partner of Generalized Hylleraas potential in one-dimensional Schrodinger system

[摘要] The higher order potential partner of generalized Hylleraas potential was constructed by using Supersymmetry potential partner equation. The superpotential of shape invariant system was determined from the ground state wave function by applying Supersymmetry operators' properties. The ground state wave function and the ground state energy were determined from the solution of Schrodinger equation with generalized Hyllerras potential using Nikiforov-Uvarov method. The higher order potential partner was combination of the generalized Hylleraas potential, ground state energy, and super potential. The energy eigenvalue and energy eigen function of potential partner which was solvable potential were also determined using NU method.

[发布机构] Physics Department, Graduate Program, Sebelas Maret University, Indonesia^1

[效力级别] 化学

[关键词] Energy eigenvalues;Ground state wavefunctions;Ground-state energies;Higher Order Potentials;Invariant systems;Nikiforov-Uvarov method;Potential partners;Superpotential