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 147
... Schrödinger equation with energy E. From ( 8.65 ) it follows that , ( x ) has the form a 4 , ( x ) = te iKx te ̄iKx , x ≤ 2 - iKx 2 = e + reikx , ( 8.66 ) Evidently this describes a particle incident on the barrier from the right , as ...
... Schrödinger equation with energy E. From ( 8.65 ) it follows that , ( x ) has the form a 4 , ( x ) = te iKx te ̄iKx , x ≤ 2 - iKx 2 = e + reikx , ( 8.66 ) Evidently this describes a particle incident on the barrier from the right , as ...
Page 192
... Schrödinger equation in the limiting cases of nearly free electrons , and tight binding . In most cases of interest ... calculation of real band structures . We remarked in Chapter 8 that in merely writing down a separate Schrödinger ...
... Schrödinger equation in the limiting cases of nearly free electrons , and tight binding . In most cases of interest ... calculation of real band structures . We remarked in Chapter 8 that in merely writing down a separate Schrödinger ...
Page 201
... Schrödinger equation for energy & in the interstitial region . 2. PE is continuous at the boundary between atomic and interstitial regions . In the atomic region about R , ke does satisfy the atomic Schrödinger equation : 3 . k , & ħ2 ...
... Schrödinger equation for energy & in the interstitial region . 2. PE is continuous at the boundary between atomic and interstitial regions . In the atomic region about R , ke does satisfy the atomic Schrödinger equation : 3 . k , & ħ2 ...
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