A Fourier representation method is presented for calculating the electrostatic energies of classical charge arrays with periodicity in one dimension. Extension of the method to quantum‐mechanical systems is then discussed. The classical presentation illustrates mathematical features which must be understood to avoid apparent divergences in the quantum‐mechanical formulation.
REFERENCES
1.
J. M.
Andre
, J.
Delhalle
, J. G.
Friapat
, and G.
Leroy
, Intern. J. Quantum Chem.
5
, 67
(1971
).2.
3.
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965) 4th ed., Formulas 1.443(3) and 1.445(2).
4.
5.
F. E.
Harris
and H. J.
Monkhorst
, Phys. Rev. Letters
23
, 1026
(1969
).6.
See, for example,
R. A.
Bonham
, J. L.
Peacher
, and H. L.
Cox
, J. Chem. Phys.
40
, 3083
(1964
);
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© 1972 The American Institute of Physics.
1972
The American Institute of Physics
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