| （英） |
In quantum mechanics, by a measurement of a physical quantity we obtain, as a result of measurement, one of eigenvalues of the measured observable, but we cannot certainly predict which eigenvalue will be obtained. Then, is the eigenvalue obtained by a measurement possessed by the measured quantity? The current majority view considers negatively. Historically speaking such a view was accepted by pioneers of quantum mechanics, but after the Kochen-Specker theorem was found this theorem has prevailed with overextended interpretations prohibiting speaking of the value of observable even with any restriction. In this talk, after having arranged the point at issue we attempt to mathematically characterize the set of measurements that accepts the interpretation that the obtained eigenvalue is the one possessed by that observable. Then, we show that the mean-square error based on the error operator always takes the value 0 for such measurements to reveal the prevailing misconception about the error-operator based definition for a quantum mean-square error. |