Classical and quantum Liouville integrability of nonlinear Heisenberg equations

DOI10.1016/J.NA.2008.11.031zbMath1238.81137OpenAlexW2042285946MaRDI QIDQ419822

Antonín Lukš, Vlasta Peřinová

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.11.031

zbMATH Keywords

elliptic functionsinvariant operatorsLiouville integrabilityinvariant subspace methodHamilton canonical equationsnonlinear Heisenberg equations

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (2)

Exact quantisation of the relativistic Hopfield model ⋮ Spatial Control Model and Analysis of Quantum Fields in One-Dimensional Waveguides

Cites Work

• Non-perturbative solution of nonlinear Heisenberg equations
• Time reversal and spatial inversion in magnetoelectric and nonlinear optical phenomena

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