The angular frequency of oscillation of a quantum harmonic oscillator in two dimensions is ω. If it is in contact with an external heat bath at temperature T, its partition function is (where β = 1 k B T ):

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Physics · Statistical Mechanics

The angular frequency of oscillation of a quantum harmonic oscillator in two dimensions is ω. If it is in contact with an external heat bath at temperature T, its partition function is (where β = 1 k B T ):

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e β&hbar;ω (e β&hbar;ω - 1) 2

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Answer 1

e 2β&hbar;ω (e 2β&hbar;ω - 1) 2

Answer 2

e β&hbar;ω (e β&hbar;ω - 1) 2

Answer 3

e β&hbar;ω e β&hbar;ω - 1

Answer 4

e 2β&hbar;ω e 2β&hbar;ω - 1

The angular frequency of oscillation of a quantum harmonic oscillator in two dimensions is ω. If it is in contact with an external heat bath at temperature T, its partition function is (where β = 1 k B T ):

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The angular frequency of oscillation of a quantum harmonic oscillator in two dimensions is &omega;. If it is in contact with an external heat bath at temperature T, its partition function is (where &beta; = 1 k B T ):

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The angular frequency of oscillation of a quantum harmonic oscillator in two dimensions is ω. If it is in contact with an external heat bath at temperature T, its partition function is (where β = 1 k B T ):