Recent content by physstudent.4

Nevermind, figured it out!

Homework Statement For a problem in quantum, I am finding the probability of a particle initially in the ground state on a circular loop of length L being in the nth state of the string after it is cut (becomes an infinite square well, and we assume the wavefunction is not disturbed during this...

Homework Statement This complies when I type it in my Latex editor, but not on here. If you could either let me know how to fix that or copy and paste what I have into your own editor to help, that'd be great. Thanks! While Ryder is setting up to derive a transformation rule for Dirac...

I found the equilibrium solution easily enough after posting that, I realized I could solve for lm. Another student and I clarified with our professor today, he wants both, which I now have. Thanks though!

Homework Statement du/dt=(d^2 u)/dx^2+1 u(x,0)=f(x) du/dx (0,t)=1 du/dx (L,t)=B du/dt=0 Determine an equilibrium temperature distribution. For what value of B is there a solution? Homework Equations Not really sure what to put here. The Attempt at a Solution I started by trying to separate...

I ended up just writing a separate loop that found the minimum. I discovered if I had written my trial function as a function of both x and a, then used partial derivatives, Mathematica can handle that easier. Thanks anyway though!

Homework Statement I need to minimize the function Etrial[a] trial[x_] := E^(-a*x^2) Etrial[a_] := NIntegrate[1/2*D[trial[x], x]^2 + x^4*trial[x]^2, {x, -\[Infinity], \[Infinity]}]/ NIntegrate[trial[x]^2, {x, -\[Infinity], \[Infinity]}] Homework Equations The Attempt at a...

Homework Statement I need to write a function of theta in terms of a particular variable. I just can't seem to figure it out; the only solution I can come up with is when the aforementioned variable is equal to 0 or 1. I'm using Q to denote theta, and b is the variable. sin^3(Q)/cos(Q)=b^2...

Ah, thank you!

Homework Statement The activity of carbon, due to the decay of C14, is 16 disintegrations per minute per gram of carbon. The atomic weight of naturally occurring carbon is 12 u. What is the ration of C14 to C12 in the CO2 of the atmosphere? The half life of C14 is 5730 years. Homework...

ooh, okay, I got it now, thanks!

Homework Statement Suppose you measured the x-component of position of an electron to an accuracy matching it’s de Broglie wavelength, i.e., Δx = lambda/2. What is the relative uncertainty in the electron’s x-component of momentum, Δp/p? Homework Equations ΔxΔp >= h(bar)/2...