Algebraic Model of an Oblate Top

R. Bijker and A. Leviatan
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R. Bijker: U.N.A.M., Instituto de Ciencias Nucleares
A. Leviatan: The Hebrew University, Racah Institute of Physics

A chapter in Symmetries in Science IX, 1997, pp 9-24 from Springer

Abstract: Abstract The development of spectrum generating algebras and the study of exactly solvable systems have played an important role in all fields of physics [1]. In particular, in spectroscopic studies algebraic methods are very useful to study the symmetries and selection rules, to classify the basis states, and to calculate matrix elements. An exactly solvable model that is of special interest is the symmetric top. As an example, we mention a study by Bohm and Teese [2] in which the rotational spectrum of a prolate symmetric top was treated in terms of SO(3, 2) with representation doubling by parity.

Keywords: Intrinsic State; Rotational Spectrum; Permutation Symmetry; Baryon Resonance; Interact Boson Model (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1007/978-1-4615-5921-4_2

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