Quantum models

Particle in a one-dimensional lattice

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. (Wikipedia).

Particle in a one-dimensional lattice
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Related pages

Band gap | Schrödinger equation | Nearly free electron model | Ion | Rectangular potential barrier | Mathieu function | Free electron model | Periodic function | Born–von Karman boundary condition | Partial fraction decomposition | Empty lattice approximation