Ben Daniel-Duke Hamilton算子及其SUSY伙伴的阶梯算子
Ladder operators for the Ben Daniel-Duke Hamiltonians and their SUSY partners
摘要：
位置相关的质量系统可以用一类算子来描述，其中包括Ben Daniel-Duke Hamilton算子。解决这类问题的常用方法通常是数值方法或寻找与常质量问题的联系的方法。在本文中，我们强加的存在性的一阶阶梯运营商，以固定我们的初始系统。然后，我们进行第一和第二阶超对称变换生成家庭的哈密顿量，其本征函数是已知的分析为一个给定的质量分布。
英文摘要：
Position dependent mass systems can be described by a class of operators which include the Ben Daniel-Duke Hamiltonians. The usual methods to solve this kind of problems are, in general, either numerical or those looking for a connection with constant mass problems. In this paper we impose the existence of first-order ladder operators to fix our initial system. Then, we perform the first and second order supersymmetric transformations to generate families of Hamiltonians whose eigenfunctions are known analytically for a given mass profile.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
