紧束缚模型的离散形式具有形式简洁且抓住物理本质等特点,成为科学研究工作中的重要表达形式. 本文主要介绍紧束缚模型离散形式的推导过程,并以固体物理课程中两个常见模型为例进行了相应结果展示. 本文的讨论一方面可以为固体物理课堂教学提供进一步研讨的素材,另一方面还可帮助学生顺利从课本学习过渡到前沿研究.

Discrete tight-binding model is a very important one in physics. It captures the essential physics process by a simple interacting Hamiltonian. In this paper, the derivation of discrete tight-binding model from the wave equation of quantum mechanics is introduced. As an example, the result is applied on two common models in Solid State Physics. The discussions  provide materials for students to study Solid State Physics further and also help students to read related scientific literature.