dorsal/arxiv
View SchemaThe Pure State Space of Quantum Mechanics as Hermitian Symmetric Space
| Authors | R. Cirelli, M. Gatti, A. Maniá |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202076 |
| URL | https://arxiv.org/abs/quant-ph/0202076 |
| DOI | 10.1016/S0393-0440(01)00031-6 |
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.
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"date_created": "2026-03-02T18:01:49.388000Z",
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"abstract": "The pure state space of Quantum Mechanics is investigated as Hermitian\nSymmetric Kaehler manifold. The classical principles of Quantum Mechanics\n(Quantum Superposition Principle, Heisenberg Uncertainty Principle, Quantum\nProbability Principle) and Spectral Theory of observables are discussed in this\nnon linear geometrical context.",
"arxiv_id": "quant-ph/0202076",
"authors": [
"R. Cirelli",
"M. Gatti",
"A. Mani\u00e1"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0393-0440(01)00031-6",
"title": "The Pure State Space of Quantum Mechanics as Hermitian Symmetric Space",
"url": "https://arxiv.org/abs/quant-ph/0202076"
},
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