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 25
... derivation of the Wiedemann - Franz law , but being now uncompensated , it offers unambiguous evidence of the inadequacy of classical statistical mechanics in describing the metallic electron gas . With the use of quantum statistical ...
... derivation of the Wiedemann - Franz law , but being now uncompensated , it offers unambiguous evidence of the inadequacy of classical statistical mechanics in describing the metallic electron gas . With the use of quantum statistical ...
Page 215
... derivation . Our emphasis instead will be on how the semiclassical model is used . We shall therefore simply describe the model , state the limitations on its validity , and extract some of its major physical consequences.1 The reader ...
... derivation . Our emphasis instead will be on how the semiclassical model is used . We shall therefore simply describe the model , state the limitations on its validity , and extract some of its major physical consequences.1 The reader ...
Page 351
... Derivation of the Hartree Equations from the Variational Principle ( a ) Show that the expectation value of the Hamiltonian ( 17.2 ) in a state of the form ( 17.10 ) is 45 < H > = Σdr ψ . * ( r ) i - h2 2m 2 V2 + Uion ( r ) ) & ; ( r ) ...
... Derivation of the Hartree Equations from the Variational Principle ( a ) Show that the expectation value of the Hamiltonian ( 17.2 ) in a state of the form ( 17.10 ) is 45 < H > = Σdr ψ . * ( r ) i - h2 2m 2 V2 + Uion ( r ) ) & ; ( r ) ...
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