Harmonic oscillator probability

  • Thread starter octol
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  • #1
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Hello all,
if I have an ion trapped in a harmonic oscillator potential with a resonant frequency 0f 11 MHz and the ion cooled to a temperature of T=0.48mK, how do I find the probability that the oscillator is in its ground state?

I know that the ground state energy is [tex]1/2 \hbar \omega[/tex], but how do I connect this to the given temperature? And even then, how do I get the probability?

Best regards
 

Answers and Replies

  • #2
61
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I need help on this one, it is probably an easy problem for a lot of you.

Best regards,
Jon
 
  • #3
23
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Have you taken a course in statistical mechanics before? Id say that the equipartition theorem probably holds the answer to your question.
 

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