Answered: An electron is confined in a harmonic… | bartleby

Related questions

Question

An electron is confined in a harmonic potential well. A photon is emitted when the electron passes through a quantum leap of 3 --> 1. What is the wavelength of the emission if the well has a spring constant of 9.6 N/m?

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

3. Particle in a 2D Box. A quantum mechanical particle is confined in side a square 2D box, with side length L. Inside the box V=0 and outside the box V=infinity. Let the wave function to be (x,y). (a) write down the Schrodinger equation of (x,y). (b) Use the separation of variable method solve (x,y) (let the quantum numbers to be nx and ny.) (c) What is the energy for the state (nx, ny)? (d) What is the probability density p(x,y) for the state nx=3 and ny=3? Sketch this p(x,y) in a square.
7. One electron is trapped in a one-dimensional square well potential with infinitely high sides. a. If you have a probe that has a width for electron detection Ax = 0.00350L in the x direction, for the first excited state ( n =2), what is the probability that the electron is found in the probe when it is centered at x = L/4, (hint: you can use an approximation for this - you do not need to do an integral)? b. What is the average number of electrons that you would detect using the probe described in part "b." centered at x = L/4, ifthe electron is in the first excited state (n = 2) for each experiment and you repeat the experiment N, =100,000 times?
The allowed energies of a quantum system are 0.0 eV, 5.5 eV , and 9.0 eV. What wavelengths appear in the system's emission spectrum? (Express your answers in nanometers in ascending order separated by commas).
A quantum system has a ground state with energy Eo = 0 meV and a 2-fold degenerate excited state with energy E₁ = 50 meV. E1 Calculate the probability of finding the system in its ground state when it is at T = 300 K. Select one: O a. 0.78 O b. 0.22 O c. 1 O d. 0.87
1) A laser produces light of wavelength 525 nmnm in an ultrashort pulse. What is the minimum duration of the pulse if the minimum uncertainty in the energy of the photons is 1.0%%? Express your answer with the appropriate units.
Font Paragraph Styles Voice Sensitivity 5. The dispersion relation for propagating waves is the equation w = w(k) giving the angular frequency as a function of the wavenumber. A free-electron will have the energy-momentum relation E = 2m Use this relation, in conjunction with Planck's equation and De Broglie's equation, to determine the quantum mechanical dispersion relation for the wave associated with a free electron. S GeneralVAll Employees (unrestricted) 2 Accessibility: Good to go D. Focus words 23 ain Cop
A particle is in the n = 9 excited state of a quantum simple harmonic oscillator well. A photon with a frequency of 3.95 x 1015 Hz is emitted as the particle moves to the n = 7 excited state. What is the minimum photon frequency required for this particle to make a quantum jump from the ground state of this well to the n = 8 excited state? (Give your answer in Hz.)