Recent content by wuhtzu

So you are right, aprt from constants I need to show that \textbf{T}^{-1} = \int_0^\infty exp(t'\textbf{T}) dt' With your suggestion this is what I can do: \int_0^\infty exp(t'\textbf{T}) dt' = \int_0^\infty \sum_{k=0}^\infty \frac{1}{k!} t'^k \textbf{T}^k dt = \sum_{k=0}^\infty...

The best thing I've been able to find is that the integral of a matrix is the integral of the individual elements (just as the derivative of a matrix is a matrix containing the derivatives of the original matrix). If that is the case then (and if my T was diagonal): \int_0^\infty \left [...

Homework Statement \vec{N} = \frac{1}{\tau}(\int_0^\infty exp(t' \textbf{T}) dt') \vec{n}_0 Show that \vec{N} = -\frac{\textbf{T}^{-1}}{\tau}\vec{n}_0 where \textbf{T}^{-1} is the inverse matrix of \textbf{T}. It is part of a small project called Gambler's Ruin in which we investigate...

Thank you for your replies. After thinking some more about it, what my question really is, is this: Was the "independent single particle moving a mean field" simply the first solution/model? Because it seems like the whole problem can be solved as a n-body problem nummerically using a...

Hi everyone For the past few months I have been learning about the nucleus and the nuclear shell model. The experimental evidence for a shell structure is overwhelming and easy to understand. It is also quite straight forward to obtain the correct shell closures (magic numbers) using a 3d...

So for this problem it turned out to be sufficient to just change sign of all variables, making it an even function. The original problem if anyone is interested: Determine which matrix elements of the form <n m l | V | n' m' l'> , n = n' = 2, m-m' = ? and l-l' = ? was zero for a...

I will post what ever answer we get when our quantum mechanics professor gets back from vacation. Thank you for looking

That is correct, but it doesn't remove the need to determine the parity of potentials suchs as V(x) = E*x V(x,z) = c*x*z V(z) = B*L in quantum mechanics :( Most of them is easy because they are only dependent on one direction ie. one variable, but some, like v(x,z) = c*x*z, is dependent...

Hi everyone I was wondering how to determine the parity of a function of multiple variables. Say the function is: f(x,z) = xz How would I determine its parity? For the above function it is true that #1 f(x,z) = f(-x,-z) but its also true that #2 \int_{-a}^{a}\int_{-a}^{a}xz \dx...