Cp. Malta et al., WIGNER DENSITY OF A RIGID ROTATOR, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(3), 1997, pp. 2551-2556
We show that the Wigner density of the rigid rotator, in an appropriat
e, i.e., four-dimensional, phase space, is positive. This result holds
in the ground state (S state), and also in the thermal mixture state
at all finite temperatures. We discuss the implications of our result
for the description of angular momentum in quantum mechanics; in parti
cular, we reexamine, in the light of this new evidence, the Suggestion
made by Einstein and Stern [Am. Phys. 40, 551 (1913)] that there is a
nontrivial distribution of angular momentum in the S state.