Solid State PhysicsThis book provides an introduction to the field of solid state physics for undergraduate students in physics, chemistry, engineering, and materials science. |
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Page 179
... function ( r ) or to wave functions with which „ ( r ) is degenerate . Based on this expectation , one seeks a ø ( r ) that can be expanded in a relatively small number of localized atomic wave functions : 3,4 $ ( r ) = Σ b „ ¥ n ( r ) ...
... function ( r ) or to wave functions with which „ ( r ) is degenerate . Based on this expectation , one seeks a ø ( r ) that can be expanded in a relatively small number of localized atomic wave functions : 3,4 $ ( r ) = Σ b „ ¥ n ( r ) ...
Page 195
... functions . This conclusion can also be reached by an apparently different argument : Eigenstates of the same Hamiltonian with different eigenvalues must be orthogonal . In particular any valence wave function ( r ) and any core wave ...
... functions . This conclusion can also be reached by an apparently different argument : Eigenstates of the same Hamiltonian with different eigenvalues must be orthogonal . In particular any valence wave function ( r ) and any core wave ...
Page 325
... function in the presence of a static , spatially uniform electric field and temperature gradient , Eq . ( 13.43 ) , has the general form18 g ( k ) = g ° ( k ) + a ( Ɛ ) • k , ( 16.26 ) where the vector function a depends on k only ...
... function in the presence of a static , spatially uniform electric field and temperature gradient , Eq . ( 13.43 ) , has the general form18 g ( k ) = g ° ( k ) + a ( Ɛ ) • k , ( 16.26 ) where the vector function a depends on k only ...
Contents
The Drude Theory of Metals | 1 |
The Sommerfeld Theory of Metals | 29 |
Failures of the Free Electron Model | 57 |
Copyright | |
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alkali atomic band structure Bloch boundary condition Bragg plane Bravais lattice Brillouin zone calculation carrier densities Chapter coefficients collisions conduction band conduction electrons contribution crystal momentum density of levels dependence described determined Drude effect electric field electron gas electron-electron electronic levels energy gap equilibrium example Fermi energy Fermi surface Figure frequency given Hamiltonian hexagonal holes impurity independent electron approximation insulators integral interaction ionic crystals k-space k₂ lattice point linear magnetic field metals motion nearly free electron neutron normal modes Note number of electrons one-electron levels orbits periodic potential perpendicular phonon Phys plane waves primitive cell primitive vectors problem properties quantum reciprocal lattice vector region result scattering Schrödinger equation semiclassical semiclassical equations semiclassical model semiconductors simple cubic solid solution specific heat sphere spin superconducting symmetry temperature term thermal tight-binding valence valence band vanishes velocity wave functions wave vector zero