The Pure State Space of Quantum Mechanics as Hermitian Symmetric Space
Quantum Physics
2009-11-07 v1
Abstract
The pure state space of Quantum Mechanics is investigated as Hermitian Symmetric Kaehler manifold. The classical principles of Quantum Mechanics (Quantum Superposition Principle, Heisenberg Uncertainty Principle, Quantum Probability Principle) and Spectral Theory of observables are discussed in this non linear geometrical context.
Keywords
Cite
@article{arxiv.quant-ph/0202076,
title = {The Pure State Space of Quantum Mechanics as Hermitian Symmetric Space},
author = {R. Cirelli and M. Gatti and A. Maniá},
journal= {arXiv preprint arXiv:quant-ph/0202076},
year = {2009}
}
Comments
18 pages, no figures