Quantum-mechanical states as ensembles of states in a classical phase space 古典的位相空間内の状態のアンサンブルとしての量子力学的状態
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Bibliographic Information
- Title
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Quantum-mechanical states as ensembles of states in a classical phase space
- Other Title
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古典的位相空間内の状態のアンサンブルとしての量子力学的状態
- Author
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内山, 智
- Author(Another name)
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ウチヤマ, サトシ
- University
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北海道大学
- Types of degree
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博士 (理学)
- Grant ID
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乙第4895号
- Degree year
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1996-03-25
Note and Description
博士論文
Measuring processes of a single spin-1/2 object and of a pair of spin-1/2 objects in the EPR-Bohm state are modeled by systems of differential equations. These models are based on mainly the following two ideas: (i) as a result of the interaction with a measuring apparatus, the state of the object, changes and approaches an attractor, in which the object possesses the measured value in the phase space of states of objects; (ii) a quantum-mechanical state corresponds to an ensemble of states in the corresponding attractor in the phase space. The latter model is a local model with hidden variables of the EPR-Bohm gedanken experiment. Although there is no dynamical interaction between the pair of spin-1/2 objects, the model reproduces approximately the quantum-mechanical correlations by using coincidence counting. Hence the Bell inequality is violated. This result supports the idea that the coincidence counting is the source of the apparent nonlocality in the EPR-Bohm gedankenexperiment.
Table of Contents
- CONTENTS / p2 (0003.jp2)
- 1.Introduction / p3 (0004.jp2)
- 2.A hidden-variable model of a measurement of a single spin-1/2 object / p8 (0009.jp2)
- 3.A local model of the EPR-Bohm gedanken experiment / p13 (0014.jp2)
- 4.Discussion and conclusion / p17 (0018.jp2)
- Acknowledgements / p19 (0020.jp2)
- References / p19 (0020.jp2)
- Figures / p21 (0022.jp2)