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A remark on Machida-Namiki theory of measurement. (English) Zbl 1097.81503
From the introduction: Recently S. Machida and M. Namiki [ibid. 63, No. 6, 1833–1847 (1980)] proposed a theory of measurement in quantum mechanics, in which a continuous superselection rule plays an important role for the reduction of wave packets. The purpose of this paper is to provide an abstract background for such a theory. We do not mean by this to develop the most general framework. Rather we try to abstract an essential feature of the Machida-Namiki argument and at the same time provide a brief explanation for some aspects of continuous superselection rules for physicists who might not be familiar with some of the mathematical background.

81P15 Quantum measurement theory, state operations, state preparations
46L60 Applications of selfadjoint operator algebras to physics
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