Quantized alternating integrable mappings

DOI10.1080/10236190500467661zbMath1092.35528OpenAlexW2045606760MaRDI QIDQ5201364

Chris Field

Publication date: 19 April 2006

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190500467661

zbMATH Keywords

integrable systemsquantum mechanicsdiscrete timeMcMillan map

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

• Hirota equation as an example of an integrable symplectic map
• Discrete time quantum mechanics
• Integrable mappings and soliton equations
• Integrable mappings and soliton equations. II
• An alternating integrable map whose square is the QRT map
• Quantization and integrability of discrete system
• A note on modified Hamiltonians for numerical integrations admitting an exact invariant
• Canonical transformations in quantum mechanics

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