论文标题
多孔电势中量子动力学描述的替代方法
Alternative approaches to the description of quantum dynamics in multi-well potentials
论文作者
论文摘要
我们考虑了三种不同的方法来分析多孔电位中的量子机械问题： i）基于谐波振荡器本征函数或普通波的基础集中的标准矩阵对角线化技术； ii）频谱方法，它允许基于schrödinger方程的时间依赖性解决方案重建光谱和固定函数； iii）通过超对称量子力学技术获得的精确溶液的近似值。 后一种方法被证明是最有前途的方法，因为它具有独特的可能性，可以将问题的特定多孔特征直接包含在计算过程中。
We consider three different approaches to analyze the quantum mechanical problems in multi-well potentials: i) the standard matrix diagonalization technique in the basis sets of harmonic oscillator eigenfunctions or plain waves; ii) the spectral method, which allows to reconstruct the spectrum and stationary functions based on the time-dependent solution of the Schrödinger equation; iii) approximations with exact solutions obtained by the supersymmetric quantum mechanics technique. The latter approach proves to be the most promising as it gives a unique possibility to include the specific multi-well features of the problem directly in the calculation procedure.
