Abstract
In the present paper a program for a collective symplectic model in a two-dimensional space based on the sp(4,R) Lie algebra is developed in full. The problem is only of conceptual interest but, as it admits a complete analytic discussion, it provides insights into more realistic collective nuclear models such as the interacting boson approximation (IBA) associated with u(6) and the symplectic model based on sp(6,R).
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