Question

Consider a particle mass M in an infinite square well of width (W) with the initial...

Consider a particle mass M in an infinite square well of width (W) with the initial state: |?〉=?(|?)〉+7?|?-〉)

What are the possible results of an energy measurement and the probability of each?

Homework Answers

Answer #1

you didn't mention state wave function clearly.

So I considered ground state and first excited state .

If your state functions are different as I assumed.

Only energy Will be different.. all the process will same.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An infinite square well has a particle of mass m that is in a state |├...
An infinite square well has a particle of mass m that is in a state |├ ψ(0)〉=A(├ |1〉-├ |2〉+├ i|3〉) at time t=0. The kets ├ |1〉,├ |2〉, and ├ |3〉 correspond to the first three energy eigenstates of the infinite square well. Find the normalized state vector. What are the energy measurement outcomes and their probabilities? What is the energy expectation value? What is the normalized state vector at time t? What are the energy measurement outcomes and their...
Consider a particle trapped in an infinite square well potential of length L. The energy states...
Consider a particle trapped in an infinite square well potential of length L. The energy states of such a particle are given by the formula: En=n^2ℏ^2π^2 /(2mL^2 ) where m is the mass of the particle. (a)By considering the change in energy of the particle as the length of the well changes calculate the force required to contain the particle. [Hint: dE=Fdx] (b)Consider the case of a hydrogen atom. This can be modeled as an electron trapped in an infinite...
consider a square well if infinite sides of width L: a) Calculate the energy and wavelength...
consider a square well if infinite sides of width L: a) Calculate the energy and wavelength of a photon emitted when a transition between the n=5 and ground state is made. b) Write down the expression for the probability that a particle in the nth state will be found in the first 1/3 of a well of width
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...
An electron is trapped in an infinite square well potential of width 3L, which is suddenly...
An electron is trapped in an infinite square well potential of width 3L, which is suddenly compressed to a width of L, without changing the electron’s energy. After the expansion, the electron is found in the n=1 state of the narrow well. What was the value of n for the initial state of the electron in the wider well?
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)
A particle is confined to the one-dimensional infinite potential well of width L. If the particle...
A particle is confined to the one-dimensional infinite potential well of width L. If the particle is in the n=2 state, what is its probability of detection between a) x=0, and x=L/4; b) x=L/4, and x=3L/4; c) x=3L/4, and x=L? Hint: You can double check your answer if you calculate the total probability of the particle being trapped in the well. Please answer as soon as possible.
An electron is in the ground state of an infinite square well. The energy of the...
An electron is in the ground state of an infinite square well. The energy of the ground state is E1 = 1.13 eV. (a) What wavelength of electromagnetic radiation would be needed to excite the electron to the n = 7 state? nm (b) What is the width of the square well? nm
Exercise 3. Consider a particle with mass m in a two-dimensional infinite well of length L,...
Exercise 3. Consider a particle with mass m in a two-dimensional infinite well of length L, x, y ∈ [0, L]. There is a weak potential in the well given by V (x, y) = V0L2δ(x − x0)δ(y − y0) . Evaluate the first order correction to the energy of the ground state.    Evaluate the first order corrections to the energy of the first excited states for x0 =y0 = L/4. For the first excited states, find the points...
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?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT