Hamiltonian systems on complex Grassmann manifolds. Holonomy and Schrodinger equation

Separable Hamiltonian equations on Riema

Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems

✍ Maciej Błaszak; Wen-Xiu Ma 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 176 KB

A systematic construction of Stäckel systems in separated coordinates and its relation to bi-Hamiltonian formalism are considered. A general form of related hydrodynamic systems, integrable by the Hamilton-Jacobi method, is derived. One-Casimir bi-Hamiltonian case is studied in details and in this c