Coherent states of quantum linear rotator

A system of coherent states is constructed for quantum linear rotator - a model for rotation of a diatomic molecule. The rotator in such a state possesses definite averages of orientation and angular momentum. Construction of coherent states is done in the framework of generalized Jordan-Schwinger approach to quantum angular momentum. The final definition of the coherent states involves operators which span the Lie algebra of metaplectic group Mp(4,R).