Hamilton-Jacobi approach to potential functions in information geometry

DOI10.1063/1.4984941zbMath1415.70035arXiv1608.06584OpenAlexW2512060141MaRDI QIDQ5282865

Juan Manuel Pérez-Pardo, Stefano Mancini, Florio M. Ciaglia, Domenico Felice, Giuseppe Marmo, Fabio Di Cosmo

Publication date: 17 July 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06584

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Hamilton-Jacobi equations in mechanics (70H20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (14)

Geometric algebra and information geometry for quantum computational software ⋮ Lifting statistical structures ⋮ Universality classes for the Fisher metric derived from relative group entropy ⋮ Geometric Hamilton–Jacobi theory for systems with external forces ⋮ Information geometric methods for complexity ⋮ Lagrangian and Hamiltonian dynamics for probabilities on the statistical bundle ⋮ Lagrangian description of Heisenberg and Landau–von Neumann equations of motion ⋮ Tomographic reconstruction of quantum metrics ⋮ Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems ⋮ Towards a canonical divergence within information geometry ⋮ Generalized potential functions in differential geometry and information geometry ⋮ Contact geometry and thermodynamics ⋮ Lie groupoids in information geometry ⋮ Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities

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