On Heisenberg models with values in Hermitian symmetric spaces

DOI10.1007/BF00400707zbMath0586.35033MaRDI QIDQ1071942

Yoshimasa Nakamura

Publication date: 1985

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

zbMATH Keywords

Hermitian symmetric spacesnonlinear Schrödinger equationsone-parameter family of solutionshidden symmetryHeisenberg models

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Gravitational energy and conservation laws; groups of motions (83C40) Differential geometry of symmetric spaces (53C35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

On the Riemann-Hilbert transformations for a Galilean invariant system, Schrödinger flows on compact Hermitian symmetric spaces and related problems, Linear integral equations and multicomponent nonlinear integrable systems. II

Cites Work

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• Nonlinear Schrödinger equations and simple Lie algebras
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Gauge equivalence of exactly integrable field theoretic models