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Homework Statement
I must find the average number of energy levels of quantum harmonic oscillator at temperature T, and the answer is given as
I must use Boltzmann distribution and the sum of geometric progression. For finding the average value I must use the equation
<F>=trace(F*rho)
Where rho is the density matrix, given as
Where p is the probability and n is the energy eigenstate of oscillator. For F I must use b^{+}b
Homework Equations
The Attempt at a Solution
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