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The equivalence of the field operator formulation of quantum mechanics and ordinary wave mechanics is proved in an efficient and elementary way. The discussion proceeds algebraically from the (anti-) commutation relations, which the field operators are defined to satisfy. Although the paper is introductory and presumes only a knowledge of elementary wave mechanics, it is intended to cover all of the essential elements of the subject in a rigorous way.
Baldwin Robertson (Tue,) studied this question.