Quantum Mechanical Probabilities on a General Spacetime-Surface. II : Nontrivial Example of Non-Interfering Alternatives in Quantum Mechanics : General and Mathematical Physics

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概要

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• A theoretical attempt is made to find a nontrivial example of a set of non-interfering (decohering) alternatives which are not restricted to an instant of time and for which quantum mechanical probabilities can be defined. Confining ourselves to nonrelativistic quantum mechanics for a particle, we find an example of such a set. The set consists of two alternatives which formally correspond to two outcomes of a 'Yes-No' experiment. 'Yes' is the occurrence that a particle is found on a given domain on a simple hypersurface in Newtonian spacetime, and 'No' is the complement to 'Yes'. In this example, absence of interference between the two alternatives is a consequence of a special choice of the symmetry of an initial amplitude. It turns out that the probabilities are 1 for 'No' and 0 for 'Yes'.

• 理論物理学刊行会の論文
• 1991-09-25

著者

• Takagi Shin

  Department Of Oral And Maxillofacial Reconstructive Surgery In Okayama University Graduate School Of

• Yamada N

  Tohoku Univ. Sendai

• Yamada Norifumi

  Department Of Physics

• Takagi Shin

  Department Of Anatomy Kyoto Prefectural University Of Medicine

• YAMADA Norifumi

  Department of Physics, Tohoku University

• Yamada Norifumi

  Department of Information Science, Fukui University, 3-9-1 Bunkyo, Fukui, Fukui 910-8507, Japan

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