Simplified derivation of a one‐range addition theorem of the Yukawa potential | Zendy

Homeier H. H. H. | Zendy; Weniger E. J. | Zendy; Steinborn E. O. | Zendy

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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.

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