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A systematic procedure is proposed for calculation of the energy-level density of low-lying bound states in a random potential. The procedure is based on a function-space formulation of the problem; and certain features of the method may be useful in solving more general problems in functional integration. The method works in one, two, or three dimensions. In the one-dimensional case, the result checks exactly with the known solution.
Zittartz et al. (1966) studied this question.