## 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 35

We shall begin to apply these important counting formulas shortly. Because we

assume the electrons are noninteracting we can build up the N-electron ground

state by placing electrons into the allowed

.

We shall begin to apply these important counting formulas shortly. Because we

assume the electrons are noninteracting we can build up the N-electron ground

state by placing electrons into the allowed

**one**-**electron levels**we have just found.

Page 40

It is absurd to expect that the free electron gas pressure alone should completely

determine the resistance of a metal to ... Thus each N-electron stationary state

can be specified by listing which of the N

state.

It is absurd to expect that the free electron gas pressure alone should completely

determine the resistance of a metal to ... Thus each N-electron stationary state

can be specified by listing which of the N

**one**-**electron levels**are filled in thatstate.

Page 41

allowed by the exclusion principle) we could equally well write (2.41) as (

summation over all N-electron ft" = 1 - £ PN(EyN) states y in which there is no

elec- (2.42) tron in the

in which ...

allowed by the exclusion principle) we could equally well write (2.41) as (

summation over all N-electron ft" = 1 - £ PN(EyN) states y in which there is no

elec- (2.42) tron in the

**one**-**electron level**i). 2. By taking any (N + l)-electron statein which ...

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### Contents

The Drude Theory of Metals | 1 |

The Sommerfeld Theory of Metals | 29 |

Failures of the Free Electron Model | 57 |

Copyright | |

49 other sections not shown

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### Common terms and phrases

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 crystal structure density of levels dependence described determined direction Drude effect electric field electron gas electron-electron electronic levels energy gap equilibrium example face-centered cubic Fermi energy Fermi surface Figure free electron theory frequency given Hamiltonian hexagonal holes impurity independent electron approximation insulators integral interaction ionic crystals lattice planes 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 Schrodinger equation semiclassical semiclassical equations semiclassical model semiconductors simple cubic solid solution specific heat sphere spin superconducting symmetry temperature term thermal tight-binding valence vanishes velocity wave functions wave vector zero