Physics · Statistical Mechanics
The average energy U of a one-dimensional quantum harmonic oscillator of frequency ω in contact with a heat bath at temperature T is given by (where β = 1kBT):
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1U = 12ℏω coth(12βℏω)✓
- 2U = 12ℏω sinh(12βℏω)
- 3U = 12ℏω tanh(12βℏω)
- 4U = 12ℏω cosh(12βℏω)
Correct answer
U = 12ℏω coth(12βℏω)
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