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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..

thanks

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# Average energy of a harmonic oscillator

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