A Hamiltonian Action of the Schrödinger–Virasoro Algebra on a Space of Periodic Time-Dependent Schrödinger Operators in (1 + 1)-Dimensions

DOI10.1142/S1402925110000672zbMath1246.17032arXiv0810.0902MaRDI QIDQ3060129

Claude Roger, Jérémie M. Unterberger

Publication date: 1 December 2010

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

Full work available at URL: https://arxiv.org/abs/0810.0902

zbMATH Keywords

Poisson structureinfinite-dimensional Lie algebrasSchrödinger-Virasoro Lie algebratime-dependent Schrödinger operatorsalgebra of pseudo-differential symbols

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items (2)

An Algebraic Background for Hierarchies of PDE in Dimension (2|1) ⋮ A matrix Miura transform

Cites Work

• The Schrödinger-Virasoro Lie group and algebra: representation theory and cohomological study
• Supersymmetric extensions of Schrödinger-invariance
• Generalizations of Virasoro group and Virasoro algebra through extensions by modules of tensor-densities on \(S^1\)
• Schrödinger invariance and strongly anisotropic critical systems

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