I looked through some books and couldn't find how to find curves of intersection between surfaces.
My question asks: explain why the curvature between surfaces z=x^2 and x^2+y^2=4 is the same of intersection between the surfaces z=4-y^2 and x^2+y^2=4.
please help i feel really dumb right...
the question asks consider a particle of mass m whose motion starts from rest in a constant gravitational field. if a resting force proportional to the square of the velocity (i.e, kmv^2) is encountered, show that the distance s the particle falls from vnot to v1 is given by
s(vnot-> v1)=...
we did some for spin 1/2 particles but it was rushed I've had to teach myself and there are no tutors for this since there are only 3 people at my school who have taken it me and 2 girls and they are as lost as i am. The way i did it was the way we did it for the spin 1/2
S= sin operator S*n for a spin 1 particle where Shat is equal to Sxihat+Syjhat+Szkhat
and nhatis equal to \sin\theta\cos\phi(i)+sin\theta\sin\phi(j)+\cos\theta\\(k)
multiply the together to get
\sin\theta\cos\phi(Sx)+sin\theta\sin\phi(Sy)+\cos\theta\\(Sz)
Sx=...
Solve the eigenvalue problem Sn|\lambda>=\lambda|\lambda> for a spin 1 particle. Find the eigenvectors. I actually have the eigenvectors. I just need to show how to get them