Monte Carlo techniques for ground-state properties

Conference · Fri Oct 30 04:00:00 EST 1987 · AIP Conf. Proc.; (United States)

OSTI ID:5853966

Schmidt, K E

Monte Carlo calculations of the ground-state properties of various few-body systems are described. The variational Monte Carlo method is used to calculate upper bounds to the ground-state energy. The resulting variational wave functions can be used to calculate other properties such as the density profile and potential and kinetic energies. Typically, the variational trial functions are also used as the initial and guiding functions in the Green's function Monte Carlo (GFMC) method, which can solve for the ground-state of the Schroedinger equations with only statistical errors. The GFMC method is described and its intimate relationship with path integral techniques shown. The fermion problem is discussed. Results for variational and GFMC calculations in /sup 5/He as well as various atomic systems are discussed.

• Research Organization: Department of Chemistry and Courant Institute of Mathematical Sciences, New York Univeristy, New York, NY. 10003
• OSTI ID: 5853966
• Report Number(s): CONF-8704193-
• Conference Information: Journal Name: AIP Conf. Proc.; (United States) Journal Volume: 162:1
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
99 GENERAL AND MISCELLANEOUS
990230 -- Mathematics & Mathematical Models-- (1987-1989)
ALPHA DECAY RADIOISOTOPES
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EQUATIONS
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
FOUR-BODY PROBLEM
FUNCTIONS
GREEN FUNCTION
GROUND STATES
HELIUM 4
HELIUM 5
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MANY-BODY PROBLEM
MONTE CARLO METHOD
NUCLEAR STRUCTURE
NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
RADIOISOTOPES
SCHROEDINGER EQUATION
STABLE ISOTOPES
WAVE EQUATIONS