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Open Quantum Systems Decoherence
Hamilton-Jacobi approach to Potential Functions in Information Geometry
arXiv
Authors: Florio M. Ciaglia, Fabio Di Cosmo, Domenico Felice, Stefano Mancini, Giuseppe Marmo, Juan M. Pérez-Pardo
Year
2016
Paper ID
7847
Status
Preprint
Abstract Read
~2 min
Abstract Words
72
Citations
N/A
Abstract
The search for a potential function S allowing to reconstruct a given metric tensor g and a given symmetric covariant tensor T on a manifold mathcal{M} is formulated as the Hamilton-Jacobi problem associated with a canonically defined Lagrangian on Tmathcal{M}. The connection between this problem, the geometric structure of the space of pure states of quantum mechanics, and the theory of contrast functions of classical information geometry is outlined.
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- The search for a potential function S allowing to reconstruct a given metric tensor g and a given symmetric covariant tensor T on a manifold mathcalM is formulated as the...
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