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 178
... satisfies the atomic Schrödinger equation ( 10.1 ) , then it will also satisfy the crystal Schrödinger equation ( 10.2 ) , provided that AU ( r ) vanishes wherever ( r ) does not . If this were indeed the case , then each atomic level ...
... satisfies the atomic Schrödinger equation ( 10.1 ) , then it will also satisfy the crystal Schrödinger equation ( 10.2 ) , provided that AU ( r ) vanishes wherever ( r ) does not . If this were indeed the case , then each atomic level ...
Page 201
... satisfy the atomic Schrödinger equation : h2 2m V2ke ( r ) + V ( r R ) ( r ) = εke ( r ) , — r Rro ( 11.15 ) - Since ... satisfies not ( 11.15 ) but Hoke = ( h2k2 / 2m ) . Note also that , in general , will have a discontinuous ...
... satisfy the atomic Schrödinger equation : h2 2m V2ke ( r ) + V ( r R ) ( r ) = εke ( r ) , — r Rro ( 11.15 ) - Since ... satisfies not ( 11.15 ) but Hoke = ( h2k2 / 2m ) . Note also that , in general , will have a discontinuous ...
Page 769
... satisfy the Schrödinger equation : - h2 2m V2k + U ( r ) 1 = εx ¥ k • By this we mean the following : Let be close to one of the V , so that ↓ = Ψι + δψ , ( G.1 ) ( G.2 ) where d is small . Let satisfy the Bloch condition with wave ...
... satisfy the Schrödinger equation : - h2 2m V2k + U ( r ) 1 = εx ¥ k • By this we mean the following : Let be close to one of the V , so that ↓ = Ψι + δψ , ( G.1 ) ( G.2 ) where d is small . Let satisfy the Bloch condition with wave ...
Contents
The Drude Theory of Metals | 1 |
Failures of the Free Electron Model | 57 |
Crystal Lattices | 63 |
Copyright | |
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alkali atomic band structure Bloch Bragg plane Bravais lattice Brillouin zone calculation carrier densities Chapter charge density coefficients collision conduction band conduction electrons contribution crystal momentum crystal structure density of levels dependence depletion layer described dielectric constant direction distribution Drude Drude model effect electric field electron gas electron-electron electronic levels electrostatic energy gap example Fermi energy Fermi surface Figure free electron frequency given Hamiltonian hexagonal holes impurity independent electron approximation insulators interaction ionic crystals k-space lattice planes lattice point linear low temperatures macroscopic magnetic field metals neutron normal modes number of electrons one-electron levels orbits periodic potential perpendicular phonon Phys positive primitive cell primitive vectors Problem properties quantum reciprocal lattice vector region result scattering Schrödinger equation semiclassical semiconductors simple cubic solid solution specific heat spin superconducting symmetry term theory valence band vanishes velocity wave functions wave vector zero