## Solid state physics |

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Results 1-3 of 41

Page 192

In Chapters 9 and 10 we explored approximate solutions to the one-electron

binding. In most cases of interest the tight-binding approximation (at least in the

simple ...

In Chapters 9 and 10 we explored approximate solutions to the one-electron

**Schrodinger equation**in the limiting cases of nearly free electrons, and tightbinding. In most cases of interest the tight-binding approximation (at least in the

simple ...

Page 201

Thus any single APW does not satisfy the crystal

energy 8 in the interstitial region. 2. (pu is continuous at the boundary between

atomic and interstitial regions. 3. In the atomic region about R, <£kx does satisfy

the ...

Thus any single APW does not satisfy the crystal

**SchrOdinger equation**forenergy 8 in the interstitial region. 2. (pu is continuous at the boundary between

atomic and interstitial regions. 3. In the atomic region about R, <£kx does satisfy

the ...

Page 769

We wish to show that the functional £[iA] (Eq. (1 1.17)) is made stationary over all

differentiable functions \j/ satisfying the Bloch condition with wave vector k, by the

fa that satisfy the

We wish to show that the functional £[iA] (Eq. (1 1.17)) is made stationary over all

differentiable functions \j/ satisfying the Bloch condition with wave vector k, by the

fa that satisfy the

**Schrodinger equation**: - ^ VVk + U(r)fa = &kfa. (G.l) By this we ...### What people are saying - Write a review

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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