Abstract
The previous treatment of collective motion using independent particle wave functions is extended to apply to cases where there is coupling between the collective modes and the other degrees of freedom of the system. The method is shown to be equivalent to the use of redundant variables and canonical transformations, but is simpler and more easily interpreted. The wave functions are considered to be trial functions which give a good approximate description of all the degrees of freedom except the collective modes. A simple model of center-of-mass motion with additional coupling is used to illustrate the method.
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