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The pure state space of quantum mechanics as Hermitian symmetric space |
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| Authors: | R Cirelli M Gatti A Mani |
| Institution: | a Dipartimento di Fisica, Università degli Studi di Milano, Milan, Italy b Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Milan, Italy |
| Abstract: | The pure state space of Quantum Mechanics is investigated as Hermitian Symmetric Kähler 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: | Superposition principle Quantum states Riemannian manifolds Poisson algebras Geodesics |
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