Continuum variational and diffusion quantum Monte Carlo calculations

RJ Needs, MD Towler, ND Drummond… - Journal of Physics …, 2009 - iopscience.iop.org
This topical review describes the methodology of continuum variational and diffusion
quantum Monte Carlo calculations. These stochastic methods are based on many-body …

The lowest order constrained variational (LOCV) method for the many-body problems and its applications

M Modarres, A Tafrihi - Progress in Particle and Nuclear Physics, 2023 - Elsevier
One always looks for a simplified technique and desirable formalism, to solve the
Hamiltonian, and to find the wave function, energy, etc, of a many-body system. The lowest …

Reptation quantum Monte Carlo: A method for unbiased ground-state averages and imaginary-time correlations

S Baroni, S Moroni - Physical review letters, 1999 - APS
We introduce a new stochastic method for calculating ground-state properties of quantum
systems. Segments of a Langevin random walk guided by a trial wave function are subject to …

Effects of backflow correlation in the three-dimensional electron gas: Quantum Monte Carlo study

Y Kwon, DM Ceperley, RM Martin - Physical Review B, 1998 - APS
The correlation energy of the homogeneous three-dimensional interacting electron gas is
calculated using the variational and fixed-node diffusion Monte Carlo methods, with trial …

Two-body correlations in nuclear systems

H Müther, A Polls - Progress in Particle and Nuclear Physics, 2000 - Elsevier
Correlations in the nuclear wave-function beyond the mean-field or Hartree-Fock
approximation are very important to describe basic properties of nuclear structure. Various …

[图书][B] Modern many-particle physics: atomic gases, nanostructures and quantum liquids

E Lipparini - 2008 - books.google.com
This book is devoted to the description of Bosonic and Fermionic systems: metallic clusters;
quantum dots, wires, rings and molecules; trapped Fermi and Bose atoms; liquid drops of …

Backflow correlations for the electron gas and metallic hydrogen

M Holzmann, DM Ceperley, C Pierleoni, K Esler - Physical Review E, 2003 - APS
We justify and evaluate backflow three-body wave functions for a two-component system of
electrons and protons. Based on the generalized Feynman-Kacs formula, many-body …

Iterative backflow renormalization procedure for many-body ground-state wave functions of strongly interacting normal Fermi liquids

M Taddei, M Ruggeri, S Moroni, M Holzmann - Physical Review B, 2015 - APS
We show how a ground-state trial wave function of a Fermi liquid can be systematically
improved by introducing a sequence of renormalized coordinates through an iterative …

Population size bias in diffusion Monte Carlo

M Boninsegni, S Moroni - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
The size of the population of random walkers required to obtain converged estimates in
diffusion Monte Carlo (DMC) increases dramatically with system size. We illustrate this by …

Progress in Monte Carlo Calculations of Fermi Systems: Normal Liquid

J Casulleras, J Boronat - Physical Review Letters, 2000 - APS
The application of the diffusion Monte Carlo method to a strongly interacting Fermi system as
normal liquid 3 He is explored. We show that the fixed-node method together with the …