Recent content by alec_grunn
-
A
Fourier transform between variables of different domains
I'm doing a research project over the summer, and need some help understanding how to construct an inverse Fourier transform (I have v. little prior experience with them). 1. Homework Statement I know the explicit form of ##q(x)##, where $$ q(x) = \frac{M}{2 \pi} \int _{- \infty}^{\infty} dz...- alec_grunn
- Thread
- domains Fourier Fourier transform Transform Variables
- Replies: 1
- Forum: Calculus and Beyond Homework Help
-
A
Normalising superposition of momentum eigenfunctions
Hi Simon, thanks for the response. I've just realized the second option I gave "The allowed momentum values are not p=±ℏk, but ## p = ± \frac{\hbar k}{5A2}##" is not implied by anything above - please forget about it. First off, I forgot to mention it's not in a potential well. So this is for...- alec_grunn
- Post #3
- Forum: Introductory Physics Homework Help
-
A
Normalising superposition of momentum eigenfunctions
Hi all, I asked for help with one part of this question here. But after thinking about another part of the question, I realized I didn't understand it as well as I'd thought. Homework Statement Ψ(x,0)=A(iexp(ikx)+2exp(−ikx)) is a wave function. A is a constant. Can Ψ be normalised? Homework...- alec_grunn
- Thread
- Eigenfunctions Momentum Superposition
- Replies: 2
- Forum: Introductory Physics Homework Help
-
A
Allowed momentum values for a plane wave
Ok so that means 20% chance of +p and 80% chance of -p?- alec_grunn
- Post #3
- Forum: Introductory Physics Homework Help
-
A
Allowed momentum values for a plane wave
Hi all, This is from a past exam paper: At t=0 the state of a particle is described by the wavefunction $$ \Psi (x,0) =A(iexp(ikx)+2exp(-ikx)) $$ This is between positive and negative infinity - not in a potential well. What values of momentum are allowed, and with what probability in each...- alec_grunn
- Thread
- Eigenfunctions Momentum Plane Quantum mechancis Wave
- Replies: 3
- Forum: Introductory Physics Homework Help
-
A
Moving on a spinning chair initially at rest
@haruspex I moved my arms in a circular arc clockwise and the chair spun counterclockwise. When I did this fast enough, I could actually spin around in the chair while seeming not to push off anything. The chair didn't continue to rotate when my arms stopped, so is the best guess conservation of...- alec_grunn
- Post #4
- Forum: Introductory Physics Homework Help
-
A
Moving on a spinning chair initially at rest
Hey guys, this is not really a h/w question but I thought this would be the best place to get a relevant answer. So I was doing physics h/w last night and found that I could spin on my chair (a standard office swivel chair) by moving my arms in the opposite direction to the way I wanted to...- alec_grunn
- Thread
- Conservation of momentum Rest Spinning
- Replies: 4
- Forum: Introductory Physics Homework Help