REMARKS ON THE STATISTICAL ORIGIN OF THE GEOMETRICAL FORMULATION OF QUANTUM MECHANICS

DOI10.1142/S0219887812200010zbMath1268.81017arXiv1202.1087MaRDI QIDQ2911883

Mathieu Molitor

Publication date: 3 September 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.1087

zbMATH Keywords

complex projective spaceinformation geometryFisher metricKähler structureexponential connectiongeometrical formulation of quantum mechanics

Mathematics Subject Classification ID

Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Local differential geometry of Hermitian and Kählerian structures (53B35) Measures of information, entropy (94A17) Projective analytic geometry (51N15) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (5)

Gaussian distributions, Jacobi group, and Siegel-Jacobi space ⋮ Exponential families, Kähler geometry and quantum mechanics ⋮ On the relation between geometrical quantum mechanics and information geometry ⋮ On Some Geometric Aspects of Coherent States ⋮ One-dimensional exponential families with constant Hessian sectional curvature

Cites Work

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