The expression “Hamiltonian” is commonly used by scientific and technology community describing particular mathematical function. However, from a wider perspective the Hamiltonian could be understood as an approach to solve and predict evolution of any kind of dynamical system.
Historically, Hamilton function, or Hamiltonian, was introduced in early 19th century as a mathematical function that can be used to generate the equations of motion of a dynamic mechanical system. Later, during 20th century after perplexing discoveries of unstable nature of atoms and special relativity, Hamiltonian function was generalized by physicists to solve quantum-mechanical and relativistic physical systems. Finally, in recent decades Hamiltonian dynamics evolved in control theory used in economics and social sciences.
Experts community like to share that by knowing the Hamiltonian of such a system, one can solve and predict its evolution.
Evolution in Hamiltonian dynamics considers evolving of metastable to stable solutions. Metastable states stand for temporary solutions with characteristic period of life (lifetime). Lifetime can be determined, and for longer time it is expected that system evolves to another, stable/or to another metastable state. The nub of Hamiltonian approach is searching for stable states. In similar way, HamiltonianPartners is facing challenges on sustainability of our civilization by evaluating present and developing novel solutions for perspective global co-existence.
