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ELEMENTARY QUANTUM THEORY
ManyParticle Systems and Quantum Statistics
FreeElectron Model and the Boltzmann Equation
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angular momentum approximation arbitrary beam Bloch functions boundary conditions Brillouin zone Chap component Compute conduction electrons considered constant coordinate corresponding crystal deduced denoted derived determined diffraction direction distribution eigenstate electric field energy bands energy eigenfunctions energy eigenvalues energy levels evaluate factor Fermi energy Fermi surface Fermi-Dirac Fourier series free-electron model frequency given by Eq gives Hamiltonian hydrogen atom illustrated in Fig kinetic energy linear combination matrix element metal obtain one-dimensional operator orbit orthogonal parallelepiped Pauli exclusion principle periodic lattice periodic potential perturbation photon physical plane-wave position potential energy probability density problem quantity quantum mechanics quantum number reciprocal lattice vectors reciprocal space reduced zone region represents result Schrodinger equation solid solutions spatial specific heat spin square-well potential statistical Substituting superposition temperature three-dimensional time-dependent total energy tunnel current unit cell vector km velocity voltage wave function wave packet wave vector wavelength zero