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Quantum oscillator statistics

  1. Nov 3, 2013 #1
    Just one short question about something I didn't understand in my book: "At low temperaturs only vibration modes where hω<kT will be excited to any appreciable extent. The excitation of these modes will be approimately classical each with an energy close to kT."
    I don't understand the last sentence. What is meant by a classical exciation? The energy of the modes will be (n+½)hω for which there is a probability distribution - on this ground how can you say that the energy of each excitation is approx kT?
  2. jcsd
  3. Nov 3, 2013 #2


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    Science Advisor

    What is meant that ##\langle E \rangle_T-\langle E \rangle_0\approx kT##
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