哈密顿-雅可比公式中的能带理论
Band theory in the context of the Hamilton-Jacobi formulation
摘要：
在一维周期势情形下，利用在量子力学等价假设下建立的波函数与约化作用量之间的关系，给出了约化作用量的Bloch周期性条件.然后，在不诉诸波函数性质的情况下，我们再现了预测Krönig-Penney模型中能谱的能带结构的众所周知的色散关系。
英文摘要：
In the one-dimensional periodic potential case, we formulate the condition of Bloch periodicity for the reduced action by using the relation between the wave function and the reduced action established in the context of the equivalence postulate of quantum mechanics. Then, without appealing to the wave function properties, we reproduce the well-known dispersion relations which predict the band structure for the energy spectrum in the Krönig-Penney model.
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