On sigma-models with noncompact groups

DOI10.1007/BF00405869zbMath0518.58022MaRDI QIDQ1054045

J. Blot

Publication date: 1982

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

zbMATH Keywords

nonlinear Schrödinger equationHeisenberg spin chainLandau-Lifschitz equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric quantization (53D50)

Related Items

ON THE GAUGED NONCOMPACT SPIN SYSTEM, Exact solution to higher-order nonlinear equations through gauge transformation, A Pivotal Model for the (1 + 1)-Dimensional Heisenberg and Sigma Models, The hyperbolic Heisenberg and sigma models in \(1+1\) dimensions., Higher charges and regularized quantum trace identities in su(1,1) Landau–Lifshitz model

Cites Work

• Singular solitons: An example of a sinh-Gordon equation
• Construction of nonlinear sigma-models in two and higher space- dimensions
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Connection among Equations for the Classical Heisenberg Ferromagnet, the Ernst Equation for the Axisymmetric Gravitational Field and the Yang Equations for the Self-Dual Gauge Field
• Two-soliton solutions of the Ernst equation
• Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum