Approximate Bound States Solution of the Hellmann Potential  

作　　者：M. Hamzavi K.E. Thylwe and A.A. Rajabi 

机构地区：[1]Department of Science and Engineering, Abhar Branch, Islamic Azad University [2]KTH-Mechanics, Royal Institute of Technology [3]Physics Department, Shahrood University of Technology

出　　处：《Communications in Theoretical Physics》2013年第7期1-8,共8页理论物理通讯（英文版）

摘　　要：The Hellmann potential, which is a superposition of an attractive Coulomb potential -air and a Yutmwa potential b e-δr /r , is often used to compute bound-state normalizations and energy levels of neutral atoms. By using the generalized parametric Nikiforov-Uvarov （NU） method, we have obtained the approximate analytical solutions of the radial Schr6dinger equation （SE） for the Hellmann potential. The energy eigenvalues and corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented, which show good agreement with a numerical amplitude phase method and also those previously obtained by other methods. As a particular case, we find the energy levels of the pure Coulomb potential.

关 键 词：Schrodinger equation Hellmann potential Nikiforov-Uvarov method 

分 类 号：O561[理学—原子与分子物理]