Hamiltonian mechanics

The evolution of geometric Robertson–Schrödinger uncertainty principle for spin 1 system

Geometric Quantum Mechanics is a mathematical framework that shows how quantum theory may be expressed in terms of Hamiltonian phase-space dynamics.  The states are points in complex projective Hilbert space, the observables are real valued functions on the space, and the Hamiltonian flow is specified by the Schrödinger equation in this framework.  The quest to express the uncertainty principle in geometrical language has recently become the focus of significant research in geometric quantum mechanics.  One has demonstrated that the Robertson–Schrödinger uncertainty principle, which is a st