Underdetermined systems of partial differential equations

DOI10.1063/1.1287431zbMath0977.35036OpenAlexW1990603397MaRDI QIDQ2738194

Lawrence R. Mead, Gerald V. Dunne, Carl M. Bender

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.1287431

zbMATH Keywords

commutation relationLie-Poisson structurepower series ansatz

Mathematics Subject Classification ID

Hamilton's equations (70H05) Nonlinear first-order PDEs (35F20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

Involution analysis of the partial differential equations characterizing Hamiltonian vector fields ⋮ Effective algorithms for parametrizing linear control systems over Ore algebras ⋮ Integrability of the field equations of invariant variational problems on linear frame bundles

Cites Work

• Discrete time quantum mechanics
• Polynomials and operator orderings
• Continuous Hahn polynomials and the Heisenberg algebra

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