well... yes... but i solved it using int(exp(-ax^2)dx=(pi/a)^(1/2) and int(x^2*exp(-ax^2)dx=1/2(pi/a^3)^(1/2) which i believe yields the same output... I kind of understand the logic here... thanks for the tip as this will be easier then memorizing the common integrals :]... the only problem now...
Ok, I don't know any U-sub, it will help to know about it anyway- but i understand if you don't want to give me a straight answer to my problem- maybe after monday you can tell me how to do that the "easy way", now I am going through that mess and I am left with something like this...
Homework Statement
Hi, The problems asks to calculate multiple things for a Gaussian wave packet. Steady state function: psi(x,0)=A*exp(-ax^2).My problem is that I'm stuck at calculating <p^2>.Homework Equations
<p^2>=Int(|psi|^2*(-1*h^2*d^2/dx^2))dx or...
Ok, so i came up with this using the Jacobian, but how do i get the scalar factors?, i assumed from Jacobian that hz=1 i donno if that is a legit assumption, please help.
ThatYou Luke
http://img444.imageshack.us/my.php?image=picture005up7.jpg
http://img262.imageshack.us/my.php?image=picture003dk1.jpg
http://img510.imageshack.us/my.php?image=picture004ew8.jpg
Thats what i came up with, i have a feeling its incorrect since the whole thing came to 0...pls can someone look over that?
thank You Luke
Thank you, how do you derive that do u know?... is there a general formula for all coordinate systems to egt the scalar factors?... i don't need it for this part but the other question...and is my solution any close to be correct? (link to the file at the bottom of the post)
Homework Statement
I have a question to find Scalar factors of parabolic cylindrical coords and element dV with provided tranformation equations. I know the values for both of them and that the product of the scalar factors is the dV, but how do i derive those scalar factors? I don't even know...
Homework Statement
2. Verify the divergence theorem for the vector field:
F =(r2cosθ) r +(r2cosφ) θ −(r2cosθsinφ) φ
using the upper hemisphere of radius R.Homework Equations
Is this any close to be correct? The question marks indicate parts I am not sure about please help.
Anyone know what are...
Homework Statement
1. The expression F = [x,y,z] defines a vector field. Given the parametric representation of a surface S:[u cos v, u sin v, u^2] = r (u,v), where the parameters cover the ranges 0 ≤ u ≤ 2 and 0 ≤ v ≤ 2π, calculate the flux F through the surface S.Homework Equations
How do i...