## Solid state physics |

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Page 352

... Fourier

that

contour

4ne2d(r).

... Fourier

**integral**VM = Tr-nrn (17-74) J(2*)3 l*)a w'1'1'*' (l7'75) and evaluatingthat

**integral**in spherical coordinates. (The radial**integral**is best done as acontour

**integral**.) (c) Deduce from (17.74) that Vs(r) satisfies (-V2 + k02)V£r) =4ne2d(r).

Page 456

The acoustic branches are replaced by linear branches, extending over all k (i.e.,

the

branches are ignored. This is justified because frequencies large compared with

...

The acoustic branches are replaced by linear branches, extending over all k (i.e.,

the

**integral**is extended from the first zone to all of /c-space) and the opticalbranches are ignored. This is justified because frequencies large compared with

...

Page 530

We may exploit this fact to simplify the correction term by writing the

k' as an

surfaces £» = £'. As £' vanes, the variation of the term in iSj — £'r in the

denominator of ...

We may exploit this fact to simplify the correction term by writing the

**integral**overk' as an

**integral**over energy E . and an**integral**over the constant-energysurfaces £» = £'. As £' vanes, the variation of the term in iSj — £'r in the

denominator of ...

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### Contents

The Dmle Theory of Metals | 1 |

The Sommerfeld Theory of Metals | 29 |

Failures of the Free Electron Model | 57 |

Copyright | |

48 other sections not shown

### Other editions - View all

Solid State Physics: Advances in Research and Applications, Volume 42 Henry Ehrenreich Limited preview - 1989 |

### 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 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 ions 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 valence band vanishes velocity wave functions wave vector zero