论文标题
关于离散的哈密顿人的形状不变潜力的注释
A Note on Shape Invariant Potentials for Discretized Hamiltonians
论文作者
论文摘要
使用Schrödinger方程的“确切离散化”方法，我们提出了n = 2个超对称量子力学的特定离散版本。在定义了相应的形状不变性条件后，我们表明可以使用n = 2的超对称量子力学的技术与与连续对应物完全相同的方法找到离散化量子力学系统的能量光谱和波形。作为当前方法的证明，我们发现了离散的库仑电位及其基态波函数的能量谱。
Using the method of the "exact discretization" of the Schrödinger equation, we propose a particular discretized version of the N=2 Supersymmetric Quantum Mechanics. After defining the corresponding shape invariance condition, we show that the energy spectra and wavefunctions for discretized Quantum Mechanical systems can be found using the technique of N=2 Supersymmetric Quantum Mechanics exactly the same way as it is done for their continuous counterparts. As a demonstration of the present method, we find the energy spectrum for a discretized Coulomb potential and its ground state wave function.
