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 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 . k is continuous at the boundary between atomic and interstitial regions . In the atomic region about R , ke does satisfy the atomic Schrödinger equation : h2 2m V2ke ( r ) + ...
... Schrödinger equation for energy & in the interstitial region . k is continuous at the boundary between atomic and interstitial regions . In the atomic region about R , ke does satisfy the atomic Schrödinger equation : h2 2m V2ke ( r ) + ...
Page 769
Neil W. Ashcroft, N. David Mermin. The Variational Principle for Schrödinger's Equation We wish to show that the functional E [ V ] ( Eq . ( 11.17 ) ) is made stationary over all differentiable functions satisfying the Bloch condition ...
Neil W. Ashcroft, N. David Mermin. The Variational Principle for Schrödinger's Equation We wish to show that the functional E [ V ] ( Eq . ( 11.17 ) ) is made stationary over all differentiable functions satisfying the Bloch condition ...
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