Gauge Field, Parity and Uncertainty Relation of Quantum Mechanics on S^1 : General and Mathematical Physics

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概要

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• We consider the uncertainty relation between position and momentum of a particle on S^1 (a circle). Since S^1 is compact, the uncertainty of position must be bounded. Consideration on the uncertainty of position demands delicate treatment. Recently Ohnuki and Kitakado have formulated quantum mechanics on S^D (a D-dimensional sphere). Armed with their formulation, we examine this subject. We also consider parity and find a phenomenon similar to the spontaneous symmetry breaking. We discuss problems which we encounter when we attempt to formulate quantum mechanics on a general manifold.

• 理論物理学刊行会の論文
• 1993-08-25

著者

• Tanimura S

  Kyoto Univ. Kyoto

• Tanimura Shogo

  Department Of Applied Mathematics And Physics Graduate School Of Informatics Kyoto University

• Tanimura Shogo

  Department Of Applied Mathematics And Physics Kyoto University

関連論文

• A Method for Systematic Construction of Bell-Like Inequalities and a Proposal of a New Type of Test(General and Mathematical Physics)
• Dynamical Gauge Boson and Strong-Weak Reciprocity : Particles and Fields
• Gauge Field, Parity and Uncertainty Relation of Quantum Mechanics on S^1 : General and Mathematical Physics

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