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halley00
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Homework Statement
By evaluating the "volume" of the relevant region of its phase space, show that the number of microstates available to a rigid rotor with angular momentum less or equal to M is (M/ħ)2.
Homework Equations
Consider the motion in the variables θ and φ, with M^{2}=(p_{θ})2+{p_{φ}/{sin(θ)}2.
The Attempt at a Solution
I just integrated the "volume": (1/h²)∫0πdθ∫02πdφ∫0Mdpθ∫0Msinθdpφ,
For some reason I'm missing a π. Why? I'm getting a "volume" 4π(M/h)2
Maybe I'm making a mistake in the choice of the limits of integration.
Sorry, I don't know how to write the equations in clean way.