Progress of Theoretical Physics Supplement · 1968 · 16 citations · 0 references
Natural SciencesChemistryComputational ChemistryComputational PhysicsCrystal StructureApproximation MethodsElectronic Band StructureIntegral EquationsBody-centered Cubic LatticeChebyshev ApproximationCubic LatticesElectronic Energy LevelsFace-centered Cubic LatticeFace-centered Cubic StructureNumerical Methods For Integral EquationsSimple Cubic Lattice
An approximation method is proposed to evaluate an extended form of the Watson integrals for simple cubic body-centered cubic and face-centered cubic lattices. These integrals are useful in discussing the cooperative phenomena, the effects of defects on the electronic energy levels, on the vibrational properties of lattices and on the spin wave spectrum, and the problem of the electric current network. The method used in the present work resorts to a kind of the Chebyshev approximation (interpolation). A detailed numerical analysis which appears in the course of the calculation is presented, and the some examples of the applications of these integrals are also presented.