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

DOI10.1143/JPSJ.66.51zbMath0945.37013arXivsolv-int/9612005OpenAlexW3121159404MaRDI QIDQ4491509

Ryuji Kemmoku

Publication date: 26 July 2000

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9612005

zbMATH Keywords

integrabilitydifference operatorKP-hierarchyWigner distributionexpectation valueMoyal quantization

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Discrete version of topics in analysis (39A12)

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