A new method in the theory of unstable particles is introduced. It is applied in this paper to a simple model to show how the exponential regime of the decay can be isolated systematically. It is further shown that our method prescribes the precise conditions to which the initial wave function must be submitted for this exponential decay to ensue. The prescription of these conditions constitutes in fact a definition of an "unstable particle" in quantum theory.
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Boldt et al. (1964) studied this question.