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Solution of the Central Force Problem
The OneElectron Atom
The Wonderful World of Approximation Methods
22 other sections not shown
atomic orbitals axis Bloch's theorem Born-Oppenheimer approximation Bravais lattice Brillouin zone calculate Chapter coefficients commute configuration Consider coordinates correlation diagram corresponding coulomb defined degeneracy degenerate depends derive determine eigenfunctions eigenvalue equation electric field electron energy levels example expectation value expression Fermi fermions Figure free-electron approximation Hamiltonian heteronuclear hydrogen atom integral label lattice translation vectors linear lowest matrix elements molecular orbitals motion multielectron atoms nuclear nucleus obtain one-electron atom orbital angular momentum Pauli exclusion principle perturbation theory physical plot potential energy primitive unit cell Prob probability density properties quantum mechanics quantum numbers radial functions reciprocal lattice reduced zone scheme rotation satisfy Schroedinger equation shell shown in Fig simple singlet sketch solution solve spatial spherical harmonics spin spin-orbit interaction square lattice subshells three-dimensional time-independent Schroedinger equation tion transition two-dimensional unperturbed variational wave function wave vector weak-binding approximation write zero zeroth-order zone boundary