Answered: Calculate the average value of the… | bartleby

Related questions

Question

100%

Calculate the average value of the momentum for a particle in a box of width L at the fundamental level and explain the result.

Data: Wave function and linear momentum operator in image

2
-sin-
L
hd
Pr
; linear momentum operator:
-
Data: Wave function
L
i dx

Expert Solution

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

For a "particle in a box" of length, L, draw the first three wave functions and write down the wavelength of each. Confirm that the wavelengths for the nth level is given by 2L
Please asap
At t=0 a particle has the wave function -a
An Infinite Square Well of width L that is centred around x = 0 is shown in the figure. At t = 0, a particle exists in this system with the wavefunction provided, where Ψ0 is √(12/L), and Ψ = 0 for all other values of x. Calculate the probability density for this particle at t = 0, and state the position at which it takes its maximum value. then, calculate the expectation value for the position of this particle at t = 0, i.e. ⟨ x⟩. Compare the results of the positions found and explain why they are different.
The figures below show the wave function describing two different states of a particle in an infinite square well. The number of nodes (within the well, but excluding the walls) in each wave function is related to the quantum number associated with the state it represents: Wave function A number of nodes = n-1 Wave function B M Determine the wavelength of the light absorbed by the particle in being excited from the state described by the wave function labelled A to the state described by the wave function labelled B. The distance between the two walls is 1.00 × 10-10 m and the mass of the particle is 1.82 × 10-30 kg. Enter the value of the wavelength in the empty box below. Your answer should be specified to an appropriate number of significant figures. wavelength = nm.
None