Compact, orthogonal, and complete basis sets for solving the Schrodinger equation

Details Compact, orthogonal, and complete basis sets for solving the Schrodinger equation Compact, orthogonal, and complete basis sets for solving the Schrodinger equation

1998-08-26

arxiv.org/abs/cond-mat/9808293v2

Physics

Condensed Matter

Strongly Correlated Electrons

This version has some typos corrected in the formulas for the shape functions. 4 pages, 3 encapsulated figures

Scientific paper

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.

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