These problems are from Introductory Quantum Mechanics (Liboff, 4th Ed.) Note: I'm using "D" as the dirac delta function. 3.9 (a) Show that D( sqrt(x) ) = 0 This has me stumped. It is my understanding that the Dirac function is 0, everywhere, except at x=0. So, how can I show this to be true, when at x=0 (sqrt(0) = 0), the dirac function is 1? 3.9 (b) Evaluate D( sqrt(x^2 - a^2) ) My first hunch is that this function is: 1 , at ABS(a) = ABS(x) (ABS - abosulte value) 0 , everywhere else. However, since I don't get part (a), I'm guessing that my evaluation of (b) probably isn't correct. Any pointers would be GREATLY appreciated.