Coherent states, inverse mapping formula for Weyl transformations and application to equations of KdV type

DOI10.1007/BF02019146zbMath0738.46020OpenAlexW2061564969MaRDI QIDQ1173664

Ping Xu, Min Qian

Publication date: 25 June 1992

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02019146

zbMATH Keywords

generalized operatorequations of KdV typegeneralized Korteweg-de Vries operatorsinverse Weil transform

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Operations with distributions and generalized functions (46F10) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of linear operators; topological tensor products; approximation properties (46A32)

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Atiyah classes and Kontsevich–Duflo type theorem for dg manifolds

Cites Work

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• Generalized Weyl transformation
• Quantization and the uniqueness of invariant structures
• An algebra of pseudodifferential operators and the asymptotics of quantum mechanics
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. I. Mapping Theorems and Ordering of Functions of Noncommuting Operators
• Quantum harmonic analysis on phase space
• Mathematical Aspects of the Weyl Correspondence
• Integrals of nonlinear equations of evolution and solitary waves