Abstract
The relation of classical and quantum theories, and the use of semi-classical approximations in quantum problems are topics that pervade all branches of physics. Continuous representations, which are generalizations of coherent states, are ideally suited for the formulation of quantum theory, especially for phase-space, and related, formulations. In addition, it is particularly natural to formulate the path integral in terms of continuous representations. Examples and applications of this approach are presented.
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