Monte Carlo Eigenvalue Methods in Quantum Mechanics and Statistical Mechanics
Book chapter reprint
RHODE ISLAND UNIV KINGSTON DEPT OF PHYSICS
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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.
- Statistics and Probability
- Quantum Theory and Relativity