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Roy PenneyParticle in a one-dimensional lattice Particle in a one-dimensional lattice Model in Quantum Physics In quantum mechanics, the particle in a one-dimensional lattice is a problem that occurs in the model of a periodic crystal lattice. The potential is caused by ions in the periodic structure of the crystal creating an electromagnetic field so electrons are subject to a regular potential inside the lattice. It is a generalization of the free electron model, which assumes zero potential inside the lattice. This article needs additional citations for verification. (December 2013) Problem definition When talking about solid materials, the discussion is mainly around crystals – periodic lattices. Here we will discuss a 1D lattice of positive ions. Assuming the spacing between two… (Source: Wikipedia)
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