The Pure State Space of Quantum Mechanics as Hermitian Symmetric Space

Details The Pure State Space of Quantum Mechanics as Hermitian Symmetric Space The Pure State Space of Quantum Mechanics as Hermitian Symmetric Space

2002-02-14

arxiv.org/abs/quant-ph/0202076v1

Physics

Quantum Physics

18 pages, no figures

Scientific paper

10.1016/S0393-0440(01)00031-6

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.

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