Recent content by lostinpitt
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Dirac delta function composition D(sqrt(x)) and D(sqrt(x^2 - a^2))
Thanks for all the help with this one. Thanks for the chain rule. The dirac chain rule you listed is actually listed in the textbook; it's only listed as a problem for the reader to prove; it's not explicitly listed as a Dirac Delta property to know, love, and apply. Anyway, using the...- lostinpitt
- Post #7
- Forum: Advanced Physics Homework Help
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Dirac delta function composition D(sqrt(x)) and D(sqrt(x^2 - a^2))
Yes, that's what I meant for the first integral...I got frustrated and kept adding f(x) everywhere just to see if the preview would change. I must've forgot to erase one. Thanks for the heads-up about the previewer; at least now I know it's not something that I'm doing. I think that I'm...- lostinpitt
- Post #5
- Forum: Advanced Physics Homework Help
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Dirac delta function composition D(sqrt(x)) and D(sqrt(x^2 - a^2))
Thanks for the help. I’m still working on the finer points of using LaTex…I hope this comes out correctly. Liboff suggests using the form (this should be integral{f(x)D(x)dx} = f(0) - I'm not sure why it's not showing this way). \int_{-\infty}^{+\infty}f(x)\delta(x)\mathrm{d}xf(x) = f(0)...- lostinpitt
- Post #3
- Forum: Advanced Physics Homework Help
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Dirac delta function composition D(sqrt(x)) and D(sqrt(x^2 - a^2))
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...- lostinpitt
- Thread
- Delta Dirac Dirac delta Mechanics Quantum Quantum mechanics
- Replies: 8
- Forum: Advanced Physics Homework Help