Algebraic Solutions for the Asymmetric Rotor

Document Type

Article

Publication Date

8-1-1999

Abstract

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.

Publication Source (Journal or Book title)

Annals of Physics

First Page

224

Last Page

237

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