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Prove the property of Dirac's Delta 
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#1
Apr1112, 04:41 PM

P: 5

1. The problem statement, all variables and given/known data
How can i prove this property of Delta, 2. Relevant equations This is my homework from John David Jackson's Classical Elektrodynamics book 3. The attempt at a solution I can't an attempt. Some properties is proved at wiki and other web pages but didn't find this. (http://en.wikipedia.org/wiki/Dirac_delta_function and ... ) 


#2
Apr1212, 07:25 AM

P: 939

Let [tex]\lbrace x_i \rbrace [/tex]be the zeroes of function f(x). Near the zeroes, you can write the function as [tex]f(x) = f'(x_i)(xx_i) + O(xx_i)^2. [/tex] As the Dirac delta is entirely localized at x_{i}, you can just drop all higher order terms and it's still exact. Then you can use the scaling property of delta function, http://en.wikipedia.org/wiki/Dirac_d...g_and_symmetry



#3
Apr1212, 10:54 AM

P: 5

Ok. Thank you clamtrox.



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