Integrals over Dirac Delta Function Representations
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This Demonstration compares the integral of a test function multiplying three different representations of the Dirac delta function,
, as the index
is increased. For each representation,
. The three representations are (1) rectangle
; (2) Gaussian
; and (3) Lorentzian
. The top panels show plots of
,
, and their product. The lower panel shows the integral of the product,
, and how it approaches
asymptotically as the index
is increased.
Contributed by: Porscha McRobbie and Eitan Geva (March 2011)
Open content licensed under CC BY-NC-SA
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