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Simplified derivation of a one‐range addition theorem of the Yukawa potential
Author(s) -
Homeier H. H. H.,
Weniger E. J.,
Steinborn E. O.
Publication year - 1992
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560440308
Subject(s) - yukawa potential , coulomb , simple (philosophy) , mathematical physics , fourier transform , quantum mechanics , range (aeronautics) , physics , representation (politics) , plane (geometry) , mathematics , pure mathematics , electron , geometry , philosophy , materials science , epistemology , politics , political science , law , composite material
The one‐range addition theorem [J. Fernández Rico, R. López, and G. Ramírez, Int. J. Quantum Chem. 34 , 121 (1988)] for the Yukawa potential is rederived in a very simple manner using weakly convergent expansions [E. J. Weniger, J. Math. Phys. 26 , 276 (1985)] of plane waves in the Fourier representation. It is discussed in which sense the addition theorem converges. The relation to Sturmian expansions of Coulomb Green functions is pointed out. © 1992 John Wiley & Sons, Inc.