EXAM I, PHYSICS 4304

The natural logarithm of the partition function z for a single one-dimensional, quantum mechanical, simple harmonic oscillator of frequency ω in thermal equilibrium at temperature T was shown in Ch. 7 to be: ln(z) = - (½)βħω – ln(1 – e-βħω) where β = (kBT)-1. Consider system of N such oscillators. ................
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