Who can solve the probability of perturbation in simple harmonic oscillator

Youngwoo
Messages
2
Reaction score
0
Pleae help me.
a),b),c) was already solved.
but question d) is not.
 

Attachments

  • probability of perturbation.JPG
    probability of perturbation.JPG
    35 KB · Views: 664
Physics news on Phys.org
I'm not 100% sure but maybe you have to find an expression for the perturbed wavefunction in the ground state and then use this to find the probability? Again, that is just my intuition, I may be completely wrong, but I'd be interested to see a solution.

Also just out of interest how did you do part (i)? I assume you use normalisation to find N, but how do you find alpha?
 
Tangent87 said:
I'm not 100% sure but maybe you have to find an expression for the perturbed wavefunction in the ground state and then use this to find the probability? Again, that is just my intuition, I may be completely wrong, but I'd be interested to see a solution.

Also just out of interest how did you do part (i)? I assume you use normalisation to find N, but how do you find alpha?

I attached my solution
 

Attachments

  • 1.JPG
    1.JPG
    21.8 KB · Views: 663
  • 2.jpg
    2.jpg
    15.6 KB · Views: 506
  • 3.JPG
    3.JPG
    13.6 KB · Views: 549
Thread 'Need help understanding this figure on energy levels'

Thread 'Need help understanding this figure on energy levels'

This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
View full post »
Thread 'Understanding how to "tack on" the time wiggle factor'

Thread 'Understanding how to "tack on" the time wiggle factor'

The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
View full post »

Similar threads

Continuity Equation for a Dimensionless Harmonic Oscillator
Replies
16
Views
2K
Quantum Harmonic Oscillator, what is #E_0#?
Replies
5
Views
2K
How do you find the probabilities for an anharmonic quantum oscillator state?
Replies
1
Views
2K
Quantum Harmonic Oscillator with Additional Potential
Replies
1
Views
2K
Simple harmonic oscillator Hamiltonian
Replies
1
Views
3K
Phase space of a harmonic oscillator and a pendulum
Replies
5
Views
2K
A particle of mass 'm' is initially in a ground state of 1- D Harmonic oscillator potential V(x)....
Replies
3
Views
5K
I Understanding the dynamics of a perturbed quantum harmonic oscillator
Replies
3
Views
1K
QFT for Gifted Amateur - Problem 2.2
Replies
1
Views
2K
Perturbed Hamiltonian Matrix for Quantum Harmonic Oscillator
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top