On the Role of Differentiation Parameter in a Bound State Solution of the Klein-Gordon Equation  

作　　者：B.C.Lütfüo?lu 

机构地区：[1]Department of Physics, Faculty of Science, Akdeniz University [2]Department of Physics, Faculty of Science, University of Hradec Králové

出　　处：《Communications in Theoretical Physics》2019年第3期267-273,共7页理论物理通讯（英文版）

基　　金：Supported by the Turkish Science and Research Council(TüB.ITAK);Akdeniz University;the support given by the Internal Project of Excellent Research of the Faculty of Science of University Hradec Králové,"Studying of properties of confined quantum particle using Woods-Saxon potential"

摘　　要：Recently, the bound state solutions of a confined Klein-Gordon particle under the mixed scalar-vector generalized symmetric Woods-Saxon potential in one spatial dimension have been investigated. The obtained results reveal that in the spin symmetric limit discrete spectrum exists, while in the pseudo-spin symmetric limit it does not.In this manuscript, new insights and information are given by employing an analogy of the variational principle. The role of the difference of the magnitudes of the vector and scalar potential energies, namely the differentiation parameter,on the energy spectrum is examined. It is observed that the differentiation parameter determines the measure of the energy spectrum density by modifying the confined particle's mass-energy in addition to narrowing the spectrum interval length.Recently, the bound state solutions of a confined Klein-Gordon particle under the mixed scalar-vector generalized symmetric Woods-Saxon potential in one spatial dimension have been investigated. The obtained results reveal that in the spin symmetric limit discrete spectrum exists, while in the pseudo-spin symmetric limit it does not.In this manuscript, new insights and information are given by employing an analogy of the variational principle. The role of the difference of the magnitudes of the vector and scalar potential energies, namely the differentiation parameter,on the energy spectrum is examined. It is observed that the differentiation parameter determines the measure of the energy spectrum density by modifying the confined particle's mass-energy in addition to narrowing the spectrum interval length.

关 键 词：KLEIN-GORDON equation generalized symmetric Woods-Saxon potential BOUND st ate spectrum spin SYMMETRY limit ANALYTIC solutions 

分 类 号：O4[理学—物理]