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Algebraic Solutions for the Asymmetric Rotor

✍ Scribed by Feng Pan; J.P. Draayer

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
149 KB
Volume
275
Category
Article
ISSN
0003-4916

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✦ Synopsis

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)tSU(2) algebra to a complementary SU(1, 1) structure. The Bethe ansatz solutions that emerge are shown to display the intrinsic Vierergruppe (D 2 ) 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 halfinteger.

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