On the relation between geometrical quantum mechanics and information geometry

Author:

Molitor Mathieu,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Earth and Planetary Sciences,General Environmental Science,Applied Mathematics,Control and Optimization,Geometry and Topology,Mechanics of Materials

Reference84 articles.

1. Foundations of Mechanics,;R. Abraham;$2^{nd}$ edition,1978

2. Coherent states and their generalizations: A mathematical overview,;S. T. Ali;Rev. Math. Phys.,1995

3. Methods of Information Geometry,;S.-I. Amari;American Mathematical Society,2000

4. Topological Methods in Hydrodynamics,;V. I. Arnold;Springer,2013

5. Geometrical formulation of quantum mechanics,;A. Ashtekar;in On Einstein's Path (ed. A. Harvey),1999

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1. One-dimensional exponential families with constant Hessian sectional curvature;Information Geometry;2022-10-27

2. Quantum Mechanics as Hamilton–Killing Flows on a Statistical Manifold;Physical Sciences Forum;2021-12-21

3. Geometric hydrodynamics and infinite-dimensional Newton’s equations;Bulletin of the American Mathematical Society;2021-06-02

4. Geometry of the Madelung Transform;Archive for Rational Mechanics and Analysis;2019-05-16

5. Geometric hydrodynamics via Madelung transform;Proceedings of the National Academy of Sciences;2018-05-29

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