Quantization of bi-Hamiltonian systems

DOI10.1063/1.528868zbMath0719.58018OpenAlexW2088921016MaRDI QIDQ5751624

Peter J. Olver, D. J. Kaup

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528868

zbMATH Keywords

Hamiltoniansquantizationsoliton equationAKNS inverse scattering scheme

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (6)

Complex confocal involutive systems associated with the solutions of the AKNS evolution equations ⋮ A unitary matrix model for \(q\)-deformed Plancherel growth ⋮ Nonlinear quantum-dynamical system based on the Kadomtsev-Petviashvili II equation ⋮ Field-theory models that admit alternative Lagrangian formulations. I ⋮ On quantum multi-Hamiltonian systems ⋮ On quantum multi-Hamiltonian systems

Cites Work

• Closure of the squared Zakharov-Shabat eigenstates
• Evolution equations, singular dispersion relations, and moving eigenvalues
• A simple model of the integrable Hamiltonian equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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