Quantum Mechanics wavefuction collapse

sty2004
Messages
16
Reaction score
0

Homework Statement


Consider a harmonic oscillator. It is in the ground state. Momentum is
measured and is found to be between 0.2 \sqrt{}m\omega hand 1.5 \sqrt{}m\omega h. (h here is h bar)
Energy is now immediately measured. What is the probability that the energy is
unchanged? You may want to do it numerically.



Homework Equations





The Attempt at a Solution


I don't know what to start with. Maybe P(E unchange)=|<\varphi0|wave after measurement>|2
 
Last edited:
Physics news on Phys.org
That's right. If the energy is unchanged, it's in the ground state, so you want to find the probability the oscillator is in the ground state after the momentum is measured.
 
how to find wave after measurement then?
 
Making a measurement causes the wave function to collapse. How does the collapse work in general?
 

Thread 'Direction of the magnetic field of an oscillating charge'

Hello everyone, I’m considering a point charge q that oscillates harmonically about the origin along the z-axis, e.g. $$z_{q}(t)= A\sin(wt)$$ In a strongly simplified / quasi-instantaneous approximation I ignore retardation and take the electric field at the position ##r=(x,y,z)## simply to be the “Coulomb field at the charge’s instantaneous position”: $$E(r,t)=\frac{q}{4\pi\varepsilon_{0}}\frac{r-r_{q}(t)}{||r-r_{q}(t)||^{3}}$$ with $$r_{q}(t)=(0,0,z_{q}(t))$$ (I’m aware this isn’t...
View full post »

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
View full post »

Similar threads

Griffiths' Quantum Mechanics Problem 4.27 : Diatomic particles
Replies
46
Views
685
Hydrogen Atom in an electric field along ##z##
Replies
0
Views
2K
Electric sinusoidal field on a hydrogen atom - Quantum Mechanics
Replies
3
Views
2K
QFT for Gifted Amateur - Problem 2.2
Replies
1
Views
2K
Linear perturbation to harmonic oscillator
Replies
3
Views
5K
E<V Potential Step Confusion
Replies
7
Views
2K
The plots of wave function of harmonic oscillator
Replies
2
Views
3K
Harmonic Oscillator and Volume of Unit Cell in Phase Space
Replies
4
Views
3K
2D isotropic quantum harmonic oscillator: polar coordinates
Replies
3
Views
6K
3D quantum harmonic oscillator: linear combination of states
Replies
7
Views
4K

Hot Threads

Recent Insights

Back
Top