论文标题
在存在Lie代数方法的情况下，对位置依赖质量的Dunkl-Schrödinger方程的调查
Investigation of the Dunkl-Schrödinger equation for Position Dependent Mass in the presence of a Lie algebraic approach
论文作者
论文摘要
最近的研究表明，使用dunkl衍生物而不是普通衍生物会导致衍生均衡依赖性动态解决方案。根据此手稿中的这种动机，我们在依赖位置的大规模形式主义中制定了dunkl-schrödinger方程，并从中得出了代数解决方案。我们的系统方法使我们可以观察到一些新发现，除了早期的发现。例如，我们发现，具有依赖位置的质量的Dunkl-Schröodinger方程的解不能独立于参数的选择。类似地，通过SL（2）代数，能量谱和相应的波函数是根据可能的dunkl（$μ$）和质量（$α$）的参数得出的。
Recent studies have shown that the use of Dunkl derivatives instead of ordinary derivatives leads to deriving parity-dependent dynamic solutions. According to this motivation in this manuscript, we formulate the Dunkl-Schrödinger equation within the position-dependent mass formalism and derive an algebraic solution out of it. Our systematic approach lets us observe some new findings in addition to the earlier ones. For example, we find that the solution of the Dunkl-Schröodinger equation with position-dependent mass cannot be considered independent of the choice of parameters. Similarly, through the sl(2) algebra, the energy spectrum and the corresponding wave functions are derived in terms of possible Dunkl, ($μ$), and mass, ($α$), parameters.
