Quantization of planar ferromagnets in the Chern-Simons representation

DOI10.1007/BF01017058zbMath0850.35111OpenAlexW1999321244MaRDI QIDQ1918848

Giulio Soliani, Oktay K. Pashaev, Luigi Martina

Publication date: 3 September 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017058

zbMATH Keywords

Hamiltonian structurequantum statesChern-Simons gauged nonlinear Schrödinger systemHeisenberg spin model

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Geometry and quantization, symplectic methods (81S10) Statistical mechanics of magnetic materials (82D40)

Related Items (2)

A controlling norm for energy-critical Schrödinger maps ⋮ An unconstrained Lagrangian formulation and conservation laws for the Schrödinger map system

Cites Work

• Canonical quantization and gauge invariant anyon operators in Chern- Simons scalar electrodynamics
• SELF-DUAL CHERN-SIMONS SOLITONS IN NONLINEAR σ-MODELS
• Hamiltonian methods for nonlinear sigma models
• Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
• Hamiltonian reduction of unconstrained and constrained systems

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