## 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 134

We offer two proofs of Bloch's theorem, one from general

considerations and one by explicit construction.4 FIRST PROOF OF BLOCH'S

THEOREM For each Bravais lattice vector R we define a translation operator 7j, ...

We offer two proofs of Bloch's theorem, one from general

**quantum**-mechanicalconsiderations and one by explicit construction.4 FIRST PROOF OF BLOCH'S

THEOREM For each Bravais lattice vector R we define a translation operator 7j, ...

Page 271

LEVELS OF BLOCH ELECTRONS IN A UNIFORM MAGNETIC FIELD Onsager's

generalization of Landau's free electron results is only valid for magnetic levels

with fairly high

LEVELS OF BLOCH ELECTRONS IN A UNIFORM MAGNETIC FIELD Onsager's

generalization of Landau's free electron results is only valid for magnetic levels

with fairly high

**quantum**numbers. However, we shall find that the de Haas-van ...Page 780

of a single (one-dimensional) harmonic oscillator with Hamiltonian 2 h = %- + $

mco2q2. (L.l) Lm The structure of this Hamiltonian is simplified by denning the ...

**Quantum**Theory of the Harmonic Crystal We first summarize the**quantum**theoryof a single (one-dimensional) harmonic oscillator with Hamiltonian 2 h = %- + $

mco2q2. (L.l) Lm The structure of this Hamiltonian is simplified by denning the ...

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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

### 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 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