Algebraic Solutions for the Asymmetric Rotor

Feng Pan, Louisiana State University
J. P. Draayer, Louisiana State University


Exact algebraic solutions for the energy eigenvalues and eigenstates of the asymmetric rotor are found using an infinite-dimensional algebraic method. The theory exploits a mapping from the Jordan-Schwinger realization of the SO(3)~SU(2) algebra to a complementary SU(1, 1) structure. The Bethe ansatz solutions that emerge are shown to display the intrinsic Vierergruppe (D2) symmetry of the rotor when the angular quantum number I is an integer, and the intrinsic quaternion group Q (i.e., the double group D*2) symmetry when I is a half-integer. © 1999 Academic Press.