Quantum Linear Harmonic Oscillator: Typical Values for x and E | Homework Help

[frerk]

hello :)

1. Homework Statement

I have to show typical values for length (amplitude) x and energy E of a quantum linear harmonic oscillator

Homework Equations

maybe this one: $$E = (\frac{1}{2} + n) \hbar\omega$$ with n = 0, 1, 2, ...

But here are 2 unknown variables: E and omega. $$\hbar = 10^{-34}$$

and the only equation with has sth. do to with the length is: $$V(x) = 0,5 m \omega^2 x^2$$

Thank you for your help :)

 

[DrClaude]

Homework Statement

I have to show typical values for length (amplitude) x and energy E of a quantum linear harmonic oscillator

That's not a very clear question. Can you write down the question as asked?

$$\hbar = 10^{-34}$$

That's only the order of magnitude.

 

[frerk]

That is almost exactly how this task is written. Yes, right, that ist just the order. I try to explain it with a similar easy example: the energy E for an atom is $$E = \hbar \omega$$ . We know that $$\hbar$$ = 10^-34 and E is about 1eV = 10^-19 J. So a typical value for omega is 10^-15. And at the task I have to do the same with the lho. Is it more clear now? :)