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Revision of Quantum Mechanics
Freeelectron Theory of Metals
translations and inversion
10 other sections not shown
approximation axes axis basic vectors Bloch functions Brillouin zone called Chapter coefficients components compute consider copper corresponding crystal curve dE/dk defined degeneracy denote density direct lattice discussed edge electron concentration electrons per atom energy eigenvalues energy gap energy levels exactly Exercise fact Fermi energy Fermi gas Fermi sea Fermi surface figure follows free-electron eigenfunctions given group velocity h.c.p. lattice hamiltonian Hume-Rothery integral introduced inversion lattice constant lattice points lattice with basis linear chain matrix elements means metal method momentum notation notice number of electrons obtained one-dimensional orbitals orthogonal particle periodic lattice perpendicular phase primitive cell primitive vectors Problem properties proved quantum mechanics radius reader reciprocal lattice reciprocal space reciprocal vectors reduced scheme represent respectively result right-hand side satisfy Schrodinger equation second band shown in Fig spherical symmetry operation theory translations unit cell values vanish variable wave function