Tomography of Quantum Spinor States

A possibility of describing two-level atom states in terms of positive probability distributions (analog to the symplectic tomography scheme) is considered. As a result the basis of the irreducible representation of a rotation group can be realized by a family of the probability distributions of the spin projection parametrized by points on the sphere. Furthermore the tomography of rotational states of molecules and nuclei which can be described by the model of a symmetric top is discussed.