One method of calculating these entities involves solving an integral form of the Schrodinger equation containing a Green's function and then taking a sub-determinant of the resulting matrix to reduce infinite order.
One method of calculating these entities involves solving an integral form of the Schrodinger equation containing a Green's function and then taking a sub-determinant of the resulting matrix to reduce infinite order. A similar method developed by Slater approximates the wavefunction as a superposition of augmented plane waves. Both of those methods utilize a potential which vanishes outside of a specific spherical radius and is known as the muffin-tin potential. Another strategy for calculating these uses a Hamiltonian with terms describing the degree to which electrons (*) "hop" between neighboring atoms and is called the tight-binding model. The high conductivity of metals can be explained by the temperature-independent overlap of these entities while for insulators, the Fermi level is found between the conduction and valance types of these structures. For 10 points, identify these representations of the energy spectrum of solid-state materials in which excited states can be separated by namesake gaps.
One method of calculating these entities involves solving an integral form of the Schrodinger equation containing a Green's function and then taking a sub-determinant of the resulting matrix to reduce infinite order.
energy bands or electronic band structures