yeah, I know that from wolfram alpha too. But that can't be right, because then my upper limit for the ground energy would depend on 1/b^3/2, which would mean if b was very large it would violate the uncertainty principle.
Homework Statement
Use trial wavefunction exp(-bx^2) to get an upper limit for the groundstate energy of the 1-d harmonic oscillator
The Attempt at a Solution
This is always going to give an integral of x^2*exp(-x^2). How do you do it? :/
That's absurd. Just because you haven't been to CalTech or MIT doesn't mean you can just go to any old university and still expect to get a decent job.
ok, I'll end the pretense: I don't really care about Physics. How good the department is for research doesn't interest me. I want the college that will look best on my CV. so, suggestions?
I'm going to spend a semester at an American University. Here is a list of allowed places:
USA Arizona State University Tempe, Arizona www.asu.edu
USA University of Arizona Tucson, Arizona studyabroad.arizona
USA California State University Long Beach, California www.csulb.edu
USA...
Homework Statement
There are N point particles in a volume V. Find an equation for the mean spacing between the particles.
The Attempt at a Solution
distance = (V^1/3)/N would be my first guess?
For a string fixed at x=0 and free at x=l I know \frac{dy}{dx}(l,t)=0 (d's are meant to be partials) but what is the other boundry associated with the end of the string? Is the second derivative also equal to 0?
So I can't take the two inside the exp? I don't really see why not? So I'm guessing you're saying that I have to do the integral of phi multiplied by its conjugate?
Thanks anyway, that's solved it :)