Differential Geometry of Quantum States, Observables and Evolution
Mathematical Physics
2019-03-26 v1 math.MP
Abstract
The geometrical description of Quantum Mechanics is reviewed and proposed as an alternative picture to the standard ones. The basic notions of observables, states, evolution and composition of systems are analised from this perspective, the relevant geometrical structures and their associated algebraic properties are highlighted, and the Qubit example is thoroughly discussed.
Cite
@article{arxiv.1903.10465,
title = {Differential Geometry of Quantum States, Observables and Evolution},
author = {Florio M. Ciaglia and Alberto Ibort and Giuseppe Marmo},
journal= {arXiv preprint arXiv:1903.10465},
year = {2019}
}
Comments
20 pages, comments are welcome!