Monte Carlo Eigenvalue Methods in Quantum Mechanics and Statistical Mechanics

Details Monte Carlo Eigenvalue Methods in Quantum Mechanics and Statistical Mechanics Monte Carlo Eigenvalue Methods in Quantum Mechanics and Statistical Mechanics

1998-04-27

arxiv.org/abs/cond-mat/9804288v2

Physics

Condensed Matter

Scientific paper

In this review we discuss, from a unified point of view, a variety of Monte Carlo methods used to solve eigenvalue problems in statistical mechanics and quantum mechanics. Although the applications of these methods differ widely, the underlying mathematics is quite similar in that they are stochastic implementations of the power method. In all cases, optimized trial states can be used to reduce the errors of Monte Carlo estimates.

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