V211-00 If the interval becomes infinite (a →00), we obtain the Fourier transform (see Jackson p.68). 1 f(x)= L. A(k)eik

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V211 00 If The Interval Becomes Infinite A 00 We Obtain The Fourier Transform See Jackson P 68 1 F X L A K Eik 1 (106.36 KiB) Viewed 26 times

V211-00 If the interval becomes infinite (a →00), we obtain the Fourier transform (see Jackson p.68). 1 f(x)= L. A(k)eikx dk (2.44) 2π 1 | A(k)= La f (x)e=ikx dx (2.45) 2 27 Change x to x' in (2.45) and sub. (2.45) into (2.44) 1 f(x)= | dx'f (x'); cik(x-x")dk 2π 8(x-x') po cik(x-x') dk = S(x – x') [completeness relation] (2.47) , =8] 2π Question 1: Does A(k) contain any more or any less information than f (x)? = (xs = 0 B = 27 1-0 22