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Average energy of a harmonic oscillator

  1. Sep 7, 2009 #1
    Hello PF members,
    Is there some good book, which contain the derivation of average energy of a harmonic oscillator at temperature T. I want to derive from Planck's distribution (PD) function (<n>=(exp([tex]\hbar\omega/kT[/tex])-1)[tex]^{-1}[/tex])....to get the following relation:
    energy E= ([tex]\hbar\omega[/tex]/2)+([tex]\hbar\omega[/tex]/PD). I referred to some books/www..they mainly refer E= [tex]\hbar\omega[/tex](n+(1/2))...stating n as 0,1,2,3,etc...
    But i think this n is simply the PD..
    Can some one help me..
  2. jcsd
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