Difference Operator Approach to the Moyal Quantization and Its Application to Integrable Systems

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概要

• 論文の詳細を見る

• Inspired by the fact that the 1VIoyal qtrantization is related with nonlocal operation, I definea difference analogue of vector fields and rephrase qtrantum description on the phase space.Applying this prescription to the theory of the KP-hierarchy, I show that their integrabilityfollows to the nature of their Wigner distribtrtion. Ftrrthermore the definition of the "expectationvalvxe" clarifies the relation between our apjcroach and the Hamiltonian strvtcture of the KP-hierarchy. A trial of the explicit construction of the Moyal bracket strttcttrre in the integrablesystern is also made.

• 社団法人日本物理学会の論文
• 1997-01-15

著者

• Kemmoku Ryuji

  Depatment Of Physics Tokyo Metropolitan University

関連論文

• Difference Operator Approach to the Moyal Quantization and Its Application to Integrable Systems

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