Recent content by dats13

Homework Statement Assume a star is in hydrostatic equilibrium and that the density of the star is follows \rho \propto \frac{1}{r^{a}} where \r is the distance from the centre of the star and \r is a constant. Derive an relation for the pressure of the star as a function of \r...

It turns out for this question I don't actually need to solve for the wavefunction. I just need to determine the curvature of it. Than from there I can get a rough sketch of the excited states, which is all the question asks for. I should have posted the full question, although I know what I...

Ok, but I don't see how I would get bessel's equation. I'm guessing I would need to multiply the equation first by x^{2}.

Homework Statement The quaestion asks to determine the ground an first excited state of the wavefuntion of a particle in a 1-D potential given by V(x)=B\left | x \right |. Homework Equations The Time Independent Schrödinger Equation (TISE): -\frac{\hbar}{2m}\frac{d^{2}\Psi...

It is a typo. It is suppose to be "a" not "z". Thanks for pointing that out.

Ben, I agree with what you're saying. Determining a, b, c, d, r and s, gives me the solution y(x)=xZ_{\frac{1}{2}}(x^{2}) Now since p=1/2 Z_{\frac{1}{2}}(x^{2})=c_{1}J_{\frac{1}{2}}(x^{2})+c_{2}J_{-\frac{1}{2}}(x^{2}) Thus the solution is...

I figured out how to solve this. By comparing the given ODE to the following: x^{2}\frac{d^{2}y}{d^{2}x}+x(z+2bx^{r})\frac{dy}{dx}+[c+dx^{2s}-b(1-a-r)x^{r}+b^{2}x^{2r}]y=0 I can then determine a, b, c, d, r and s. From this, the solution is given by...

I am trying to solve this equation in terms of Bessel functions. xy"-y'+(4x^3)y=0 I am sure how to do this. The first thing that comes to mind is to solve for a series solution. This solution can then be compared to the bessel function and from that I can determine the first solution and...

Thanks for all of intput. I did end up sovling this by spliting the integral into two. The first part was a radical and the second turned out to be an arcsin.

I have tried completing the square. I'll check it again. I'll also try a substitution. Thanks

I have tried many different ways of solving this integral but always seem to get stuck. Any help on this one would be greatly appreciated.