arXiv subjects

Waichi Ogura

Publications and source records attributed to Waichi Ogura.

3 recordsLinked to original sources

arXiv1997

Geodesic flows for the Neumann-Rosochatius systems

The Relationship between the Neumann system and the Jacobi system in arbitrary dimensions is elucidated from the point of view of constrained Hamiltonian systems. Dirac brackets for canonical variables of both systems are derived from the constrained Hamiltonians. The geodesic equations corresponding to the Rosochatius system are studied as an application of our method. As a consequence a new class of nonlinear integrable equations is derived along with their conserved quantities.

math-ph↗

arXiv1995

Vortex Filament in Three-manifold and the Duistermaat-Heckman Formula

Symplectic geometry of the vortex filament in a curved three-manifold is investigated. There appears an infinite sequence of constants of motion in involution in the case of constant curvature. The Duistermaat-Heckman formula is examined perturbatively for the classical partition function in our model and verified up to the 3-loop order.

hep-th↗

arXiv1992

Discrete and Continuum Virasoro Constraints in Two-Cut Hermitian Matrix Models

Continuum Virasoro constraints in the two-cut hermitian matrix models are derived from the discrete Ward identities by means of the mapping from the $GL(\infty )$ Toda hierarchy to the nonlinear Schrödinger (NLS) hierarchy. The invariance of the string equation under the NLS flows is worked out. Also the quantization of the integration constant $α$ reported by Hollowood et al. is explained by the analyticity of the continuum limit.

hep-th↗