What underlies the Anderson Hamiltonian

The Anderson Hamiltonian characterizes a model in which local orbitals interact with each other through Coulomb interactions and with a bath of itinerant states through hybridization. In trying to find a prescription for the parameters of the model, one simultaneously develops some understanding of the states involved and studies whether the model incorporates enough of the essential physics. One useful tactic is to compare this model with other models and ask how different effects are accommodated. This paper compares results from the model with atomic, band, and modified band calculations for f-electron materials. It did not appear to incorporate effects that seemed to be significant. Specifically, it is difficult to see the relation of this model to the multiple-screening-mode model which is a natural interpretation of our band calculations. The computations are represented as a surrogate for the experiment