薛定谔方程作为立方晶格上非相对论相干跳跃的普遍连续极限
Schroedinger equation as the universal continuum limit of nonrelativistic coherent hopping on a cubic spatial lattice
摘要：
具有标量势和矢量势的薛定谔方程是任何相干跳变过程的连续极限（其中位置本征态在时间步长后与相邻本征态叠加），其跳变幅度在逆晶格间距的二次阶中是均匀的，在一阶中是不均匀的，并且满足关于高于下一个邻居的可求和条件。
英文摘要：
The Schroedinger equation with scalar and vector potentials is the continuum limit of any coherent hopping process (where position eigenstates superpose with neighbouring eigenstates after a time step) whose hopping amplitudes are homogeneous in quadratic order of the inverse lattice spacing, inhomogeneous in first order, and satisfying a summability condition with respect to higher-than-next neighbours.
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