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Condition of adiabaticity

  1. Mar 1, 2008 #1
    suppose that the potential of a harmonic oscilltor is changed slowly

    i mean, the frequency of the harmonic oscilltor \omega is varying slowly

    my question is, under what conditions, the particle initially in the ground state follow the potential adiabatically?

    what conditions \omega(t) sholuld satisfy?
     
  2. jcsd
  3. Mar 2, 2008 #2

    olgranpappy

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    Homework Helper

    well, at the very least, it seems that the time rate of change of the frequency [itex]d\omega / d t[/itex] should be much less than then initial squared frequency. I.e.,
    [tex]
    \frac{d\omega}{d t}<<k_0/m_0
    [/tex]
     
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