Conditionally Exactly Solvable Potentials: A Supersymmetric Construction Method☆
Conditionally Exactly Solvable Potentials: A Supersymmetric Construction Method☆
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条件精确可解势：一种超对称构造方法☆
DOI：
10.1006/aphy.1998.5856
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发表时间：
1998
影响因子：
3
通讯作者：
P. Roy
中科院分区：
文献类型：
--
作者：
Georg Junker;P. Roy
本文给出了构造所谓条件精确可解势的一种较一般的方法。这种方法基于超对称量子力学中已知的代数工具。构造了各种一维势函数，其对应的薛定谔本征值问题在势参数一定的条件下可以精确求解。详细研究了实线、半线以及有限区间上的量子系统的例子。
Abstract We present in this paper a rather general method for the construction of so-called conditionally exactly solvable potentials. This method is based on algebraic tools known from supersymmetric quantum mechanics. Various families of one-dimensional potentials are constructed whose corresponding Schrodinger eigenvalue problem can be solved exactly under certain conditions of the potential parameters. Examples of quantum systems on the real line and the half line as well as on some finite interval are studied in detail.