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Popov's coefficient
Contents
Quantum Monte Carlo technique
Subsections
Introduction
Variational Monte Carlo
Variational principle
Applications
Implementation
Diffusion Monte Carlo
Schrödinger equation
Green's function
Primitive algorithm
Higher-order algorithm
Fixed-node Diffusion Monte Carlo method
Construction of trial wave functions: system of Bosons
Introduction
Bijl-Jastrow wave function
One-body Bijl-Jastrow term in an anisotropic trap
One-dimensional wave functions
Tonks-Giradeau wave function
Hard-rod wave function (exact)
Hard-rod wave function (approximate)
Wave function of the Lieb Liniger gas
Phonon trial wave function (
-potential)
Super-Tonks trial wave function (attractive
-potential)
Scattering on the resonance state of a Bose gas
Three-dimensional wave functions
Hard sphere trial wave function
Soft sphere trial wave function
Trial wave function of 3D zero range potential
Scattering on the resonance state of a Bose gas
Construction of trial wave functions: system of Fermions
Trial wave function in the BCS limit
Kinetic energy
Calculation of the tail energy
Bijl-Jastrow term
Trial wave function: zero energy scattering state
Matching to a constant
Measured quantities
Local energy
Local kinetic energy and the drift force
Exponentiation
Static structure factor
One body density matrix in a homogeneous system
One body density matrix in a harmonic trap
Pair distribution
Pure estimators and extrapolation technique
G.E. Astrakharchik 15-th of December 2004
-potential)