Compact, orthogonal, and complete basis sets for solving the Schrodinger equation
Abstract
Description
We present a new type of basis set which is local, compact, and orthogonal. The basis functions, called orthlets, are centered at the sites of a lattice and are specifically adapted to represent the system being studied. The adaptability includes the ability to have singular behavior within an orthlet, allowing a single orthlet to represent a function in the vicinity of a singularity.
This version has some typos corrected in the formulas for the shape functions. 4 pages, 3 encapsulated figures
This version has some typos corrected in the formulas for the shape functions. 4 pages, 3 encapsulated figures