Publications [#318410] of Robert Brown

Papers Published

1. Brown, RG; Ciftan, M, Statistical microdynamics of extended systems in natural function spaces, International Journal of Quantum Chemistry, vol. 48 no. 27 S (January, 1993), pp. 363-375 [doi]
   (last updated on 2026/01/22)

   Abstract:
   An approximate numerical method of solving the Generalized Master Equation for a many‐body problem is presented, with examples of its application. This method involves the construction from the full Hamiltonian (of the system plus the “bath”) of a set of unitary Langevin equations that combine deterministic microcanonical, stochastic canonical (heat bath), and stochastic nonthermal dynamics in a single time‐integration scheme. If implemented in a representation that captures the essential physics and repeatedly run from a given initial condition, this method evaluates stochastic representatives from the actual fiber bundle of system worldlines that flow from the initial condition and, hence, numerically evaluates the path integral. © 1993 John Wiley & Sons, Inc. Copyright © 1993 John Wiley & Sons, Inc.