= 1. The energy of a 3D quantum harmonic oscillator is given by: En, ny, ng = (nx + ny + n2+ +*) ħw Suppose an oscillato
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= 1. The energy of a 3D quantum harmonic oscillator is given by: En, ny, ng = (nx + ny + n2+ +*) ħw Suppose an oscillato
= 1. The energy of a 3D quantum harmonic oscillator is given by: En, ny, ng = (nx + ny + n2+ +*) ħw Suppose an oscillator is in thermal contact with a reservoir. a. write a general expression for the oscillator's partition function and interpret. b. Assume that only states with 0 3 Nx + ny + nz s 4 are accessible. Calculate the probability of finding the oscillator in each of these macrostates if ħw = 50 mev and T = 300 K (accounting for the multiplicity of each state). c. Calculate the oscillator's average energy, the average of its energy squared, and the standard deviation of its energy.
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