Recent content by misterpickle

Homework Statement Consider the motion of particle moving on the inside surface of a smooth cone of half-angle α, subject to the gravitational force. Although this problem does not involve a central force, certain aspects of the motion are the same as for a central-force motion. Show that the...

Homework Statement I want to plot the following function into Maple14. \vec{v}=frac{1}{\vec{r^{2}}} \hat{r} **In case the latex is screwed this says v=r^(-2) *r-hat The Attempt at a Solution My code for Maple is the following, but it doesn't seem to work.restart; with(LinearAlgebra)...

If \psi(x+\langle x \rangle) is distributable (meaning f(x+y)=f(x)+f(y)) then I come up with the following: \int{ x \psi^{*}(x+\langle x \rangle) \psi(x+\langle x \rangle)\,dx} \int{ x[ (\psi^{*}x+\psi^{*}\langle x \rangle)( \psi x+\psi\langle x \rangle)\,dx} \int{ (\psi^{*}\psi...

I've set it up the way you suggested, and the exponential terms computing \langle x \rangle cancel. However there is a \langle x \rangle term in \psi(x+\langle x \rangle). Is this not a discrepancy to have the value you are trying to calculate inside the equation for calculating its value...

Homework Statement If <x> and <p> are the expectation values of x and p formed with the wave-function of a one-dimensional system, show that the expectation value of x and p formed with the wave-function vanishes. The wavefunction is: \phi(x)=exp(-\frac{i}{h}\langle p\rangle x)\psi(x+\langle...

So the student solution is incorrect?

I'm a TA and there is an inconsistency in what the solutions manual states and what the students are turning in, but both seem correct. The Latex code isn't working properly for the post, but it is easy to see what equations are used Homework Statement A particle of mass m moves along the x...

Homework Statement Problem 9.2(B) from Kittel Solid State Physics. A two-dimensional metal has one atom of valence one in a simple rectangular primitive cell of a1 = 2Å and a2 = 4Å. Calculate the radius of the free electron Fermi sphere and draw this sphere to scale on the drawing of the...