1.
S. M.
Blinder
, “
Delta functions in spherical coordinates and how to avoid losing them: Fields of point charges and dipoles
,”
Am. J. Phys.
71
,
816
–
818
(
2003
).
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2.
This identity can be shown by inserting r[dδ(r)/dr] into an integral over r of a well-behaved test function f(r) and integrating by parts: ∫ −∞ ∞ f(r)r[dδ(r)/dr]dr=−∫ −∞ ∞ [f(r)+r(df/dr)]δ(r)dr=−∫ −∞ ∞ f(r) δ(r)dr.
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© 2004 American Association of Physics Teachers.
2004
American Association of Physics Teachers
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