The density of single-particle states relative to a singular resonant model potential
- 21 December 1975
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 8 (24), L581-L584
- https://doi.org/10.1088/0022-3719/8/24/004
Abstract
Lloyd's formula (1967) for the density of single-particle states in an energy-dependent pseudo-potential W(E) is not valid when the latter is singular. A modified formula, valid for a resonant model formula V(E)+U/(E-E) (where the Hermitian operator U is related to the resonance width and E to the resonant level, is derived. It is used to show that the rank of U must be exactly equal to the number of resonant states (i.e. 2*5 per atom for a d-band metal).Keywords
This publication has 7 references indexed in Scilit:
- Electronic Structure of Transition Metals. I. Quantum Defects and Model PotentialPhysical Review B, 1973
- Pseudo Green's Functions and the Pseudopotential Theory of-Band MetalsPhysical Review B, 1972
- Alternative Transition-Metal PseudopotentialPhysical Review B, 1969
- Transition-Metal PseudopotentialsPhysical Review B, 1969
- Wave propagation through an assembly of spheres: II. The density of single-particle eigenstatesProceedings of the Physical Society, 1967
- Friedel Sum Rule for Anderson's Model of Localized Impurity StatesPhysical Review B, 1966
- A new method for the electronic structure of metalsPhilosophical Magazine, 1964