Recent content by xman

I do not know if this is correct, but what I'm thinking is: 1) assume the material is homogeneous and isotropic 2) assume the thickness is constant 3) assume the volume may be written as the product of the area of a circle and its constant height Then, we can write the mass as the usual...

Thanks for taking a look! I don't believe it should matter, since m and n are just the order of the derivatives. So, I believe that in any three cases, i.e. m=n, m<n, and m>n, if f is analytic, and if the expressions of the higher order derivatives are of the form f^{(j)}(z)= f_{x^{(j)}} =...

I can help with these problems but I need to see what you've tried first.

I am trying to figure out this old homework problem I haven't been able to solve. The problem goes like this: Let f(z)=c_{00}+c_{10}x+c_{01}y+\cdots + c_{nm}x^{n}y^{m} be a polynomial function of x and y. If, in addition, f is analytic function, show that f has to be a polynomial in z...

Try drawing a free body diagram. What does it mean when the block comes to rest? If there is no friction, what other forces could be acting on the block to slow it down? Also remember there are two times here, one for the trip up and one for the trip down.

I would suggest considering the eigenvalues for both the angular momentum and square of the angular momentum operator. Then think about which parts of either angular momentum (squared or not squared) operator act on the components of the Hamiltonian. Finally, what does the commutation relation...

If I remember correctly, doesn't the "real conductor" part give you a clue to the wave vector, i.e. this gives rise to an approximation, which simplifies the calculation. What surface are you constructing to consider the energy flow through? My understanding is a little weak, but its coming...

Remember in order for a transformation to be canonical requires the Poisson bracket to be unity, i.e. [A,B] = 1. Use this to determine the constants, you'll find it is not that bad. For the second part use the definitions of the relationships between canonical variables to determine the...

Since the commutator of measurable quantities commutes, then we are able to measure both quantities simultaneously. On the other hand, when the commutator between measurables does not commute we are unable to measure both with any certainty. The famous Heisenberg Uncertainty Principle (HUP) is...

To determine the expectation value of the momentum you may use \langle p \rangle = m\frac{d}{dt} \langle x \rangle or \langle p \rangle = \langle \Psi \mid p \mid \Psi \rangle Note that these two are equivalent statements. In either case, when doing the integrals, notice that you always...

If you want help on these you have to show some work. What have you tried?

What do you know about eigenstates of the infinite square well? In particular, there is a nice property that makes this problem trivial. Try writing the product of wave function out, as \Psi^{\ast}\Psi = (\psi_1 +\psi_2)^{\ast}(\psi_1+\psi_2) You should find this simplifies the calculation...

Thanks, StatusX. This is what I have. I know my proof isn't complete, I think I am having a problem with the boundary argument. Let A \subset \mathbb C. We want to show that \partial A is closed and \overline{A} is closed. To show that both the boundary and the closure are closed, we need...

I misunderstood the statement, I was thinking and = intersection. I realized that the minute I read your first post. I'm using the following definitions. "z is an interior point of A if there exists an r>0 such that the open disk is contained in A." The open set consists of the set of all...