## Green functions for ordered and disordered systemsThe book presents an exposition of Green functions and multiple scattering theory (MST) as presently used in the study of the electronic structure of matter. Ordered, as well as substitutionally disordered systems are discussed. This volume deals with both a tight binding approach to and a first-principles formulation of Green functions and multiple scattering theory. It includes extended discussions on such topics as the coherent potential approximation (CPA), and the use of full cell potentials in applications of MST to the calculation of electronic structure of solids. Special emphasis is given to the derivation of formulae within the angular momentum representation, as well as to problems. The book contains a collection of problems of particular interest to students. |

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### Contents

Introduction | 3 |

Elements of the Band Theory of Solids | 13 |

The Density of States Function and Lattice Fourier Trans | 45 |

Copyright | |

53 other sections not shown

### Common terms and phrases

alloy angular momentum approximation associated atoms augmented space average band structure basis binary alloy Bloch Bloch's theorem boundary conditions calculated cell cell potentials chapter characterized coefficients configurations consider convergence corresponding crystal defined denotes density Derive determined diagonal disorder discussion disordered alloys disordered materials disordered systems DOS's effective medium eigenvalues eigenvectors energy evaluated exact expansion expression formalism free-particle given Green function Hamiltonian impurity integral interaction KKR-CPA linear Lippmann-Schwinger equation matrix elements MCPA method nearest neighbor hopping NFC's obtain off-diagonal one-dimensional particles Phys physical plane problem propagator properties quantity reciprocal lattice renormalized renormalized interactor RS-MST satisfy scattering matrix scattering path operator scattering theory SCBSA Schrodinger equation self-consistency condition self-energy semi-infinite single-site site-diagonal solid solution square lattice SSCPA surface t-matrix tion translationally invariant values vanishes vector wave functions wavefunction yields