Abstract
Following the many-Hilbert-spaces theory of measurement by Machida and Namiki, it is possible to numerically simulate the quantum process of the reduction of wave packets, based on a model plausibly specifying Hilbert spaces. In neutron interferometry experiments such as those done by the Vienna group, each neutron belongs to a Hilbert space. When an interferometer environment is defined and neutrons allowed to interact with it, the degree of visibility degradation is calculated depending on the effectiveness of the interaction. The pile-up of numerous neutrons may or may not make an interfering pattern, depending on whether their interaction with the system is slight enough not to disperse or strong enough to disperse their phase differences after superposition. Thus it is shown that complete disappearance of visibility, i.e., reduction of wave packets, is expected for an infinitely large number of scatterers and/or an infinitely strong interaction, experienced by those neutrons.
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