Question

For a harmonic oscillator in the ground-state, determine △p and △x. How does the value of...

For a harmonic oscillator in the ground-state, determine △p and △x. How does the value of △p△x compare to the Heisenberg Uncertainty Principle?

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the ground state of the harmonic oscillator. (a) (7 pts) Calculate the expectation values <x>,...
Consider the ground state of the harmonic oscillator. (a) (7 pts) Calculate the expectation values <x>, <x2>, <p> and <p2>. (b) (3 ps) What is the product ΔxΔp, where the two quantities are standard deviations? (This is easy if you did part (a)). How does this answer compare with the prediction of the Uncertainty Principle?
Q. 2​(a) For the first excited state of harmonic oscillator, calculate <x>, <p>, <x2>, and <p2>...
Q. 2​(a) For the first excited state of harmonic oscillator, calculate <x>, <p>, <x2>, and <p2> explicitly by spatial integration. (b) Check that the uncertainty principle is obeyed. (c) Compute <T> and <V>. .
For a particle in the first excited state of harmonic oscillator potential, a) Calculate 〈?〉1, 〈?〉1,...
For a particle in the first excited state of harmonic oscillator potential, a) Calculate 〈?〉1, 〈?〉1, 〈? 2〉1, 〈? 2〉1. b) Calculate (∆?)1 and (∆?)1. c) Check the uncertainty principle for this state. d) Estimate the length of the interval about x=0 which corresponds to the classically allowed domain for the first excited state of harmonic oscillator. e) Using the result of part (d), show that position uncertainty you get in part (b) is comparable to the classical range of...
The ground-state energy of a harmonic oscillator is 6 eV. If the oscillator undergoes a transition...
The ground-state energy of a harmonic oscillator is 6 eV. If the oscillator undergoes a transition from its n=3 to n=2 level by emitting a photon, what is the energy (in eV) of the emitted photon?
a) For a 1D linear harmonic oscillator find the first order corrections to the ground state...
a) For a 1D linear harmonic oscillator find the first order corrections to the ground state due to the Gaussian perturbation. b) Find the first order corrections to the first excited state. Please show all work.
Let the mass harmonic oscillator and pulse w be in the state ψ (x) = 1...
Let the mass harmonic oscillator and pulse w be in the state ψ (x) = 1 /√2ψ0(x) + i/√2ψ2 (x), where ψn(x) are eigenfuntions of the harmonic oscillator. If we measure the energy, what values ​​can we obtain?
Quantum mechanics: Consider a particle initially in the ground state of the one-dimensional simple harmonic oscillator....
Quantum mechanics: Consider a particle initially in the ground state of the one-dimensional simple harmonic oscillator. A uniform electric field is abruptly turned on for a time t and then abruptly turned off again. What is the probability of transition to the first excited state?
Show that the ground state wavefunction for a 1-D harmonics oscillator is an eigen function of...
Show that the ground state wavefunction for a 1-D harmonics oscillator is an eigen function of harmonic oscillator Hamiltonian operator.
The ground state of a particle is given by the time‐dependent wave function Ψ0(x, t) =...
The ground state of a particle is given by the time‐dependent wave function Ψ0(x, t) = Aeαx^2+iβt​​​​​​ with an energy eigenvalue of E0 = ħ2α/m a. Determine the potential in which this particle exists. Does this potential resemble any that you have seen before? b. Determine the normalization constant A for this wave function. c. Determine the expectation values of x, x2, p, and p2. d. Check the uncertainty principle Δx and Δp. Is their product consistent with the uncertainty...
. The hydrogen molecule H2 can be treated as a vibrating system (simple harmonic oscillator), with...
. The hydrogen molecule H2 can be treated as a vibrating system (simple harmonic oscillator), with an effective force constant ? = 3.5 × 10^3 eV/nm2. Compute the zero-point (ground state) energy of one of the protons in H2. How does it compare with the molecular binding energy of 4.5 eV? Compute the amplitude of the zero-point motion and compare with the atomic spacing of 0.074 nm
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT