The Pure State Space of Quantum Mechanics as Hermitian Symmetric Space
  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. 
R. Cirelli, M. Gatti, A. Mani\'a