These problems are from Introductory Quantum Mechanics (Liboff, 4th Ed.)(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Please help with Quantum Mechanics Dirac Delta Problems!

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