The Macro Monte Carlo (MMC) method has been developed to improve the speed of traditional Monte Carlo calculations without significant loss in accuracy. MMC runs about one order of magnitude faster for clinically relevant irradiation situations. For routine use in a clinical environment a further sp
A method for relativistic variational Monte Carlo calculations
โ Scribed by Hartmut Bueckert; Stuart M. Rothstein; Jan Vrbik
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 180 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0009-2614
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โฆ Synopsis
We report formulas and describe how to estimate the relativistic energy and related properties of atoms and molecules by variational Monte Carlo (VMC) simulations, without having to resort to perturbation approximations. Quantities required for these simulations are routinely coupled in nonrelativistic VMC. Therefore to modify an existing VMC computer program to incorporate relativity is a minor task. A recently reported scheme for optimizing parameters of a trial function is also applicable. We illustrate our technique by estimating the relativistic corrections to the ground-state energies of LiH and Li.
๐ SIMILAR VOLUMES
The Feynman path integral method is applied to the many-electron problem. We first give new closure relations in terms of ordinary complex and real numbers, which could be derived from an arbitrary complete set of state vectors. Then, in the path integral form, the partition function of the system a
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