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 352
... integral V , ( r ) = S dk · ( 2π ) 3 ek V ( k ) ( 17.75 ) and evaluating that integral in spherical coordinates . ( The radial integral is best done as a contour integral . ) ( c ) Deduce from ( 17.74 ) that Võ ( r ) satisfies ( −V2 + ...
... integral V , ( r ) = S dk · ( 2π ) 3 ek V ( k ) ( 17.75 ) and evaluating that integral in spherical coordinates . ( The radial integral is best done as a contour integral . ) ( c ) Deduce from ( 17.74 ) that Võ ( r ) satisfies ( −V2 + ...
Page 530
... integral over k ' as an integral over energy & ' , and an integral over the constant - energy surfaces & & ' . As & ' varies , the variation of the term in ( & - & ' ) 2 in the denominator of ( 26.27 ) is very important , since the ...
... integral over k ' as an integral over energy & ' , and an integral over the constant - energy surfaces & & ' . As & ' varies , the variation of the term in ( & - & ' ) 2 in the denominator of ( 26.27 ) is very important , since the ...
Page 762
... integral over a primitive cell is independent of the choice of cell.2 In particular , it will not be changed if we translate the primitive cell C through a vector d ( not necessarily a Bravais lattice vector ) . However , the integral ...
... integral over a primitive cell is independent of the choice of cell.2 In particular , it will not be changed if we translate the primitive cell C through a vector d ( not necessarily a Bravais lattice vector ) . However , the integral ...
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