Symplectic manifolds, coherent states, and semiclassical approximation
Symplectic manifolds, coherent states, and semiclassical approximation
The symplectic structure and Hamiltonian dynamics for a class of Grassmannian manifolds are described here. Using the two-dimensional sphere (S2) and disc (D2) as illustrative cases, we write their path integral representations using coherent state techniques. These path integrals can be evaluated exactly by semiclassical methods, thus providing examples of …