Question

Find the wave function for the ground state and first two excited states for a particle...

Find the wave function for the ground state and first two excited states for a particle in an infinitely deep square well of width a. Show that the uncertainty relation is satisfied for position and momentum.

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
For 1D particle-in-a-box, if a wavefunction corresponds to ground state and 1st excited state: Is the...
For 1D particle-in-a-box, if a wavefunction corresponds to ground state and 1st excited state: Is the wave function an eigenfunction?
Consider 3 identical bosons in a one dimensional infinitely deep well of width 2a. A.) What...
Consider 3 identical bosons in a one dimensional infinitely deep well of width 2a. A.) What is the wave function of the ground state? B.) What is the wave function of the first excited state?
Find the energy levels, the base state's wave function, and the first excited state for a...
Find the energy levels, the base state's wave function, and the first excited state for a system of two identical particles in an infinite unidimensional potential well that don't interact. a) if both particles have spin 1 b) if they have spin ½
In class, we are discussing a free particle trapped inside the box. Keeping this discussion in...
In class, we are discussing a free particle trapped inside the box. Keeping this discussion in mind, please answer the following questions. (a) Calculate the probability of finding the particle in the first one third of the box (0 to a/3). The particle is residing in the first excited state. (b) Show that the ground state wavefunction is orthogonal to the first excited state wavefunction. (c) Uncertainty is defined as the square root of variance ( a 2 = -...
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...
A particle is in the ground state of an infinite square well. The potential wall at...
A particle is in the ground state of an infinite square well. The potential wall at x = L suddenly (i.e., instantaneously) moves to x = 3L. such that the well is now three times its original size. (a) Let t = 0 be at the instant of the sudden change in the potential well. What is ψ(x, 0)? (b) If you measure the energy of the particle in the new well, what are the possible energies? (c) Estimate the...
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...
Considera particle in the ground state of an infinite square well where the left half of...
Considera particle in the ground state of an infinite square well where the left half of the well rises at a linear rate to a potential of V0in a time τ, and then falls back at a linear rate in a time τ. What is the probability that the particle is now in the first excited state?
Show that the wave function of a particle in the infinite square well of width a...
Show that the wave function of a particle in the infinite square well of width a returns to its original form after a quantum revival time T = 4ma^2/π(hbar)
Consider the time-dependent ground state wave function Ψ(x,t ) for a quantum particle confined to an...
Consider the time-dependent ground state wave function Ψ(x,t ) for a quantum particle confined to an impenetrable box. (a) Show that the real and imaginary parts of Ψ(x,t) , separately, can be written as the sum of two travelling waves. (b) Show that the decompositions in part (a) are consistent with your understanding of the classical behavior of a particle in an impenetrable box.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT