The simplest model of them is a one-dimensional quantum mechanical harmonic chain.
The simplest model of them is a one-dimensional quantum mechanical harmonic chain. The dispersion relation related their frequency to their wave number, and their speed of propagation in a lattice is given by the slope of the relation. When treated as particles, they are bosons possessing zero spin. They contribute to many of the physical properties of materials such as thermal and electrical conductivity, since, for example, the propagation of them is responsible for the conduction of heat in insulators. FTP, name these quantizations of vibrations occurring in a rigid crystal lattice.
The simplest model of them is a one-dimensional quantum mechanical harmonic chain.
{phonons}