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seen Apr 2 at 15:47

Mar
29
comment triple integral (quantum mechanics)
@joriki I understand your comment, I will try to be more interactive. I have to leave now, but I'll try to give it a fresh look later today and see if I can compute it to the end. I'll post what I come up with. Thanks!
Mar
29
comment triple integral (quantum mechanics)
Thanks to both! The new answer then: 2) $\int_o^\pi \sin^3\theta d\theta = 0$. Isn't it? If all those things are right, how does it end up giving $1 \over \sqrt 2 \pi$?
Mar
29
comment triple integral (quantum mechanics)
@joriki I did read your comment, but I couldn't follow the global process and decide if it was you or Willie Wong who was right, so I decided to answer Willie Wong's questions and that I could always come back later and do it again if something was indeed missing.
Mar
29
comment triple integral (quantum mechanics)
3) $\int_0^\infty \rho^4 e^{-\rho}d\rho = 4!(1/\rho)^5$ ? >> I don't really understand this last part. Basically I tried to apply the gamma function by trying to follow my text book's explanation.
Mar
29
comment triple integral (quantum mechanics)
2) $\int_0^\pi \sin^2\theta d\theta = \pi/2 -1/4$ ? || 3) $\int_0^\infty \rho^4 e^{-\rho}d\rho = 4!(1/\rho)^5 ?
Mar
29
awarded  Scholar
Mar
29
accepted triple integral (quantum mechanics)
Mar
29
comment triple integral (quantum mechanics)
I love it. Thank you so much for your step by step answer. I'm gonna try to go through it answering your test questions. 1. $\sin\phi\cos\phi =0$ because $\sin4\pi = 0$. Also $\int \cos^2\phi d\phi = x/2 + (1/4)\sin2x + \kappa $. Since $\sin4\pi = 0$ >> $\int \cos^2\phi d\phi = x/2 = \pi$
Mar
29
revised triple integral (quantum mechanics)
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Mar
29
awarded  Commentator
Mar
29
comment triple integral (quantum mechanics)
I see, thank you Didier. Where do you suggest I start?
Mar
29
revised triple integral (quantum mechanics)
added 18 characters in body
Mar
29
comment triple integral (quantum mechanics)
I've corrected my attempt as best as I could based on your comments and I understand what you say, unfortunately I can't give up now. Thanks for your help; you did try.
Mar
29
revised triple integral (quantum mechanics)
deleted 1 characters in body
Mar
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revised triple integral (quantum mechanics)
deleted 1 characters in body
Mar
29
comment triple integral (quantum mechanics)
added up until where I'm stuck
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29
revised triple integral (quantum mechanics)
added 380 characters in body
Mar
29
comment triple integral (quantum mechanics)
@joriki thanks for all those changes. I see now that I was missing many things I didn't know about. I'll be more crareful in the future. About the content I have most problems with the angular parts, but I didn't post anything, because I'm not so sure about the radial either. I'll try posting a bit of my reasoning to see if it is easier to point out where I'm wrong.
Mar
29
revised triple integral (quantum mechanics)
corrected the error pointed out by joriki
Mar
29
comment triple integral (quantum mechanics)
@joriki I don't see what else is wrong with the wave functions (I am copying them from a book). Could you be more explicit, please? maybe say exactly what the issue is?