用一般点正则变换求有效质量依赖于位置的薛定谔方程的精确解
Exact Solutions of the Schrödinger Equation with position-dependent effective mass via general point canonical transformation
摘要：
通过点正则变换，得到了Rosen-Morse势和Scarf势的薛定谔方程的精确解.通过引入一个自由参数，给出了点正则变换的一般形式。使用两种不同形式的质量分布。得到了束缚态的能量本征值和相应的目标势的波函数随自由参数的变化关系。
英文摘要：
Exact solutions of the Schrodinger equation are obtained for the Rosen-Morse and Scarf potentials with the position-dependent effective mass by appliying a general point canonical transformation. The general form of the point canonical transformation is introduced by using a free parameter. Two different forms of mass distributions are used. A set of the energy eigenvalues of the bound states and corresponding wave functions for target potentials are obtained as a function of the free parameter.
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