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Orthonormal Functions for Fermi Surfaces A Test of Convergence for Nb and Cu
Author(s) -
Khan F. S.,
Allen P. B.
Publication year - 1980
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221000123
Subject(s) - orthonormal basis , convergence (economics) , harmonics , basis (linear algebra) , mathematics , fermi surface , mathematical analysis , spherical harmonics , fermi gamma ray space telescope , wave vector , physics , basis set , condensed matter physics , chemistry , quantum mechanics , geometry , molecule , voltage , economics , superconductivity , economic growth
The electronic mass enhancement λ k on the Fermi surfaces of Cu and Nb is expanded in various basis sets. In particular, orthogonal polynomials (‚Fermi surface harmonics’) are constructed in the velocity vector components (FSH( v )), in the wave vector components (FSH( k )) and the cubic harmonics (CH). The results indicate that the set FSH( k ) gives better convergence than the sets FSH( v ) or CH.