Carroll, R.W. 　著

目次

KdV and KP; Analytic Methods. Inverse Scattering. KdV on the Line.Problems in Mechanics and Hill's Equation. On the Geometry of KdV. FiniteZone Potentials. Hamiltonian Theory for KdV. Determinant Methods for KdV andKP; Tau Functions. Systems and Algebraic Methods. Orbits of the Vacuum. AKNSSystems. Some Lie Theoretic Methods. The Hirota Bilinear Identity. AlgebraicCurves and KP. Introductory Sato Theory. Physics. Holonomic Quantum Fields.Ising Model and Bose Gas. Some remarks on 2-D Quantum Gravity and KdV.Conformal Field Theory. More on Conformal Field Theory and Tau Functions.More on Kricever Data, Grassmannians, Curves etc. Remarks on Strings. More onStrings, Riemann Surfaces, and Tau Functions. Remarks on Tau Functions,Cauchy-Riemann Operators, and Determinant Bundles. Quantum InverseScattering. Appendices: Differential Geometry and Elementary HamiltonianTheory. Riemann Surfaces and Algebraic Curves. References. Index.