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Prog. Theor. Phys. Vol. 85 No. 6 (1991) pp. 1271-1286

Nuclear Collective Motion from a Group Theoretical Standpoint

P. Truini, G. Cassinelli and L. C. Biedenharn^*

Dipartimento di Fisica and I. N. F. N., v. Dodecaneso, 33-16146 Genova
^*Department of Physics, Duke University, Durham, NC 27706

(Received January 14, 1991)

Abstract:

All unitary irreducible representations of the nuclear collective motion group CM(3) = \overlineSL(3, R)\rlap$\bigcirc$ σ T⁶ are classified using the method of the induced representations and the imprimitivity theorem. The wave function and the wave equation are obtained by this method. We introduce a Hamiltonian and give a formula for calculating the energy spectrum that depends on deformations and rotations.

URL : http://ptp.ipap.jp/link?PTP/85/1271/
DOI : 10.1143/PTP.85.1271

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