geometric quantum mechanics

Classical aspect of spin angular momentum in geometric quantum mechanics

Geometric Quantum Mechanics is a formulation demonstrating how quantum theory may be cast in the language of Hamiltonian phase-space dynamics.  Within this framework, the classical properties of spin $\frac{1}{2}$, spin 1 and spin $\frac{3}{2}$ particles have been studied.  The correspondence between the Poisson bracket and commutator algebras for these systems was shown by explicitly computing the value of the commutator of spin operators and comparing it with the Poisson bracket of the corresponding classical observables.  This study was extended by comparing the Casi

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