An electron is confined to an infinite 1-dimensional well of width L = 1.5 nm. At t = 0 it is in a superposition of the ground state and second excited state: Ψ(x,t=0) = aΨ1 + bΨ3 .

What is the frequency of oscillation f of the spatial probability density?

Question

An electron is confined to an infinite 1-dimensional well of width L = 1.5 nm. At t = 0 it is in a superposition of the ground state and second excited state: Ψ(x,t=0) = aΨ1 + bΨ3 .

What is the frequency of oscillation f of the spatial probability density?

abb0t · Answer

All I remember about harmonic oscillation and probability density is: $$|\Psi (x,t)|^2$$
the probability distribution oscillates with frequency which Is the energy difference between two eigenstates.

anonymous · Answer

Thank you for your contribution!

goformit100 · Answer

For Solving this Question, I would like to ask you that, do you have the detailed conception of : Charge

abb0t · Answer

If you don't know what a charge is, why answer at all @goformit100

theeric · Answer

I don't believe goformit100 implied a lack of knowledge concerning charges. The knowledge of charges can assist understanding behavior of an electron in an infinite well. I wish I could help, but I have only learned about the time-independent wave function, and it is a little fuzzy yet. Best of luck to all involved!

abb0t · Answer

He's 12 years old.

theeric · Answer

I am not aware of his age, and I can't determine his credibility. I used his comment somewhat like a Segway.. In any case, the discussion we are now involving ourselves in is not related to the question.

I can only discuss what I know to be true about matter waves and the infinite well, but I have little knowledge of the temporal aspect of the wave equation. I'm sure Schrodinger's equation would be willing to help, along with a little math!

theeric · Answer

The wells, by themselves, can seem abstract. I can help with that, maybe... Unfortunately, I am still learning the basics!