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Typical values LHO

  1. Oct 13, 2016 #1
    hello :)

    1. The problem statement, all variables and given/known data


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

    2. Relevant equations

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

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

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

    Thank you for your help :)
     
  2. jcsd
  3. Oct 13, 2016 #2

    DrClaude

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    Staff: Mentor

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


    That's only the order of magnitude.
     
  4. Oct 13, 2016 #3
    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 [tex] E = \hbar \omega [/tex] . We know that [tex] \hbar [/tex] = 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? :)
     
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