The Dirac delta function
Channel: Brant Carlson
Date: 2013-05-15

A description of the Dirac delta function as a distribution, its use in integrals, shifted delta functions, delta functions of other functions, derivatives of delta functions, and delta functions in Fourier analysis.

Note: there is a mistake in the example integral done on slide 6 around 17:15: the exponentials in the answer should be evaluated at the values of x picked out by the delta functions, i.e. -1 and 1, not x and -x.  The answer should be 1 + e/2 + 1/(2*e).  Apologies for the confusion this probably caused, and thanks to Manu Kamin and Unni Barchamua for pointing it out.

(This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics.  The Full playlist is at http://www.youtube.com/playlist?list=PL65jGfVh1ilueHVVsuCxNXoxrLI3OZAPI.)