@MISC{National_thesimulation, author = {Ceperley National and D. M. Ceperley}, title = {The Simulation Of Quantum Systems}, year = {} }
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Abstract
ere to stop soon, algorithmic advances, proceeding at a slower rate, will ensure that the art and practice of quantum simulations will thrive for many years. This difference in rate is understandable if one considers the relative number of individuals in theoretical many-body physics versus computer science. One of the first, and most famous use of computers to solve a previously intractable problem in statistical mechanics was by Metropolis, Rosenbluth and Teller 1 who simulated a 2d system of hard disks and in so doing introduced the ubiquitous Metropolis Monte Carlo algorithm. This was soon followed by the development of the molecular dynamics techniques by Alder and Wainright 2 and for more realistic systems by Rahman. 3 A recent advance was that of Car and Parrinello 4 who showed how to solve the electronic structure problem by local density functional methods simultaneous with the molecular dynamics