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The nuclear collective models introduced by Bohr, Mottelson and Rainwater,together with the Mayer-Jensen shell model, have provided the central frameworkfor the development of nuclear physics. This paper reviews the microscopicevolution of the collective models and their underlying foundations. Inparticular, it is shown that the Bohr-Mottelson models have expressions asmacroscopic limits of microscopic models that have precisely-definedexpressions in many-nucleon quantum mechanics. Understanding collective modelsin this way is especially useful because it enables the analysis of nuclearproperties in terms of them to be revisited and reassessed in the light oftheir microscopic foundations.

The many-nucleon theory of nuclear collective structure and its macroscopic limits: an algebraic perspective