Hamilton-Jacobi approach to potential functions in information geometry Articles uri icon

publication date

  • June 2017


  • 6


  • 58

International Standard Serial Number (ISSN)

  • 0022-2488

Electronic International Standard Serial Number (EISSN)

  • 1089-7658


  • The search for a potential function S allowing us to reconstruct a given metric tensor g and a given symmetric covariant tensor T on a manifold M is formulated as the Hamilton-Jacobi problem associated with a canonically defined Lagrangian on T 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 are outlined. Published by AIP Publishing.


  • Mathematics