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- W1001609352 abstract "We review methods used and results obtained in Monte Carlo calculations on quantum fluids and crystals. Available techniques are discussed for the computation of the energy and other expectation values by variational methods in which the absolute square of a trial function ψT is sampled by the Metropolis method. Recently developed methods for fermion systems are included. We give a more detailed exposition of the Green’s Function Monte Carlo method which permits exact numerical estimates of boson ground-state properties. Our survey of results comprises applications to 3He and 4He, hard-sphere fluids and crystals, spin-aligned hydrogen, the one-component plasma for bosons and fermions, and simple models of neutron and nuclear matter. The reliability of the product form of ψT in several applications is assessed. A selected set of related topics is also taken up: low temperature excitations, results obtained by the Wigner ℏ expansion, and evaluations of virial coefficients and pair correlations at finite temperatures. In this chapter, we give a survey of the applications of Monte Carlo methods to the study of quantum phenomena in statistical physics. The emphasis is on the modelling of many-particle systems which exhibit quantum effects at the macroscopic level — systems such as liquids and crystals of helium and the electron gas. Such work is complementary to a vast literature in which more tranditional theoretical methods have been applied to these systems. Space precludes citing more than the most striking and significant treatments of that kind." @default.
- W1001609352 created "2016-06-24" @default.
- W1001609352 creator A5000501464 @default.
- W1001609352 creator A5011485947 @default.
- W1001609352 date "1986-01-01" @default.
- W1001609352 modified "2023-10-06" @default.
- W1001609352 title "Quantum Many-Body Problems" @default.
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- W1001609352 doi "https://doi.org/10.1007/978-3-642-82803-4_4" @default.