
A discrete model for quantum mechanics is presented. First a discrete phase space S is formed by coupling vertices and edges of a graph. The dynamics is developed by introducing paths or discrete trajectories in S. An amplitude function is used to compute probabilities of quantum events and a discrete Feynman path integral is presented. Many of the results can be formulated in terms of transition probabilities and unitary operators on a Hilbert space l2(S).
discrete model for quantum mechanics, paths, discrete Feynman path integral, Path integrals in quantum mechanics, Feynman integrals and graphs; applications of algebraic topology and algebraic geometry, quantum graphicdynamics, discrete phase space, Graph theory, Applications of manifolds of mappings to the sciences, discrete trajectories
discrete model for quantum mechanics, paths, discrete Feynman path integral, Path integrals in quantum mechanics, Feynman integrals and graphs; applications of algebraic topology and algebraic geometry, quantum graphicdynamics, discrete phase space, Graph theory, Applications of manifolds of mappings to the sciences, discrete trajectories
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