H J Hrgovcic 1992 J. Phys. A: Math. Gen. 25 1329 doi:10.1088/0305-4470/25/5/033
H J Hrgovcic
Show affiliationsA system of first-order difference equations on a rectangular n-dimensional lattice is presented, which reduces to the wave equation in the continuum limit. These equations allow solutions of the discrete wave equation to be expressed as summations of paths simpler than those obtained through standard path integral formalism, which in turn allows wave solutions to be simulated by the same Monte Carlo and other methods used to model diffusion phenomena.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
02.30.Jr Partial differential equations
05.30.Ch Quantum ensemble theory
82C41 Dynamics of random walks, random surfaces, lattice animals, etc. (See also 60G50)
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
35Fxx General first-order equations and systems
82C80 Numerical methods (Monte Carlo, series resummation, etc.)
Quantum gases, liquids and solids
Issue 5 (7 March 1992)
H J Hrgovcic 1992 J. Phys. A: Math. Gen. 25 1329
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