CASINO manual - Theory of Condensed Matter
CASINO manual - Theory of Condensed Matter
CASINO manual - Theory of Condensed Matter
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8.6 GAUSSIAN94/98/03/09 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106<br />
8.7 GP . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112<br />
8.8 MCEXX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112<br />
8.9 PWSCF/Quantum Espresso . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112<br />
8.10 TURBOMOLE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115<br />
8.11 Unsupported programs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115<br />
8.12 Request for help . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115<br />
9 Using <strong>CASINO</strong> with blip functions 115<br />
10 Utilities provided with the <strong>CASINO</strong> distribution 116<br />
11 Making movies with <strong>CASINO</strong> 119<br />
11.1 How to make movies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119<br />
11.2 Visualization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120<br />
12 Detailed information: the VMC method 121<br />
12.1 Evaluating expectation values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121<br />
12.2 The sampling algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121<br />
12.3 Two-level sampling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122<br />
12.4 Optimal value <strong>of</strong> the VMC time step . . . . . . . . . . . . . . . . . . . . . . . . . . . 122<br />
13 Detailed information: the DMC method 123<br />
13.1 Imaginary-time propagation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123<br />
13.2 The ensemble <strong>of</strong> configurations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124<br />
13.3 Drift and diffusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124<br />
13.4 Branching and population control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125<br />
13.5 Modifications to the Green’s Function . . . . . . . . . . . . . . . . . . . . . . . . . . . 126<br />
13.6 Modifications to the DMC Green’s function at bare nuclei . . . . . . . . . . . . . . . 127<br />
13.7 Evaluating expectation values <strong>of</strong> observables . . . . . . . . . . . . . . . . . . . . . . . . 129<br />
13.8 Growth estimator <strong>of</strong> the energy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129<br />
13.9 Automatic block-resetting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130<br />
13.10Reducing the computational expense <strong>of</strong> DMC equilibration . . . . . . . . . . . . . . . 131<br />
14 Evaluation <strong>of</strong> Gaussian orbitals in the Slater wave function 132<br />
15 Constructing real orbitals 132<br />
16 Cusp corrections for Gaussian orbitals 133<br />
16.1 Electron–nucleus cusp corrections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133<br />
16.2 Cusp correction algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134<br />
17 General-purpose cusp corrections 136<br />
18 Wave-function updating 137<br />
19 Evaluating the local energy 137<br />
19.1 Evaluating the kinetic energy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138<br />
19.2 Evaluating the nonlocal pseudopotential energy . . . . . . . . . . . . . . . . . . . . . . 139<br />
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