Analytic Results in the Position-Dependent Mass Schrdinger Problem  

作　　者：M.S.Cunha H.R.Christiansen 

机构地区：[1]Grupo de Física Teórica, State University of Cear(UECE) [2]State University Vale do Acaraú

出　　处：《Communications in Theoretical Physics》2013年第12期642-650,共9页理论物理通讯（英文版）

摘　　要：We investigate the Schr6dinger equation for a particle with a nonuniform solitonic mass density. First, we discuss in extent the （nontrivial） position-dependent mass V（x） = 0 case whose solutions are hypergeometric functions in tanh2 x. Then, we consider an external hyperbolic-tangent potential. We show that the effective quantum mechanical problem is given by a Heun class equation and find analytically an eigenbasis for the space of solutions. We also compute the eigenstat, es for a potential of the form V （x） = Vo sinh2 z.

关 键 词：Schr6dinger equation position-dependent mass Heun equation 

分 类 号：O175[理学—数学]