98-720 Stephen J. Summers

On the Stone-von Neumann Uniqueness Theorem and Its Ramifications (62K, LATeX) Nov 18, 98

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Abstract. A brief history of the Stone-von Neumann uniqueness theorem and its ramifications is provided. The influence of this theorem on the development of quantum theory, which was its initial source of motivation, is emphasized. In addition, its impact upon mathematics itself is suggested by considering certain subsequent developments in originally unanticipated directions.

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