Summary
A new simple method for obtaining the expression of the electrical potential for a 3-dimensional nonuniform charge distribution is given. It is shown how the new method can be used to obtain the expression for 3-dimensional Gaussian distribution.
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References
O. D. Kellog:Foundations of Potential Theory (Berlin, 1967), p. 184.
E. Weber:Electromagnetic Fields, Theory and Applications, Vol. 1 (New York, N. Y., 1960), p. 414.
B. W. Montague:Fourth-order coupling resonances excited by space-charge forces in a synchrotron, CERN/ISR/68-38 (1968).
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Takayama, K. A new method for the potential of a 3-dimensional nonuniform charge distribution. Lett. Nuovo Cimento 34, 190–192 (1982). https://doi.org/10.1007/BF02817055
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DOI: https://doi.org/10.1007/BF02817055