Variational methods for discontinuous potentials

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Abstract
The problem of constructing variational trial functions for potentials such as the Bressel-Kreman-Rouben nucleon-nucleon potential is discussed. It is demonstrated that failure to provide suitable trial functions can result in a serious reduction in the convergence rate. The discontinuity in the trial functions is introduced by means of functions analogous to the B-splines. The technique advocated is to construct a core trial function using these functions which may be used in conjunction with a systematic expansion set.