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The analytical deconvolution technique for the green function recursion expansion
Author(s) -
Gläser U. H.,
Rennert P.,
Mašek J.,
Velický B.
Publication year - 1986
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.2221340225
Subject(s) - deconvolution , recursion (computer science) , mathematics , function (biology) , property (philosophy) , analytic continuation , eigenfunction , plane (geometry) , continuation , mathematical analysis , algorithm , physics , computer science , quantum mechanics , geometry , philosophy , eigenvalues and eigenvectors , epistemology , evolutionary biology , biology , programming language
Abstract The analytical properties of Green functions in the complex energy plane are utilized in an approximative continuation of the Green function from the line Im z = ε towards the real axis. This procedure acts as an effective but incomplete deconvolution for the spectral density. As a result, a well‐resolved but smooth spectrum is obtained even in case where it is exactly represented by a set of delta functions. This property is employed in solving the termination problem of the recursion method, and the applicability of the whole proposed calculational scheme is demonstrated on the LCAO calculation of the electronic density of states in the ordered intermetallic compound TiTc.