Fast convergent hyperspherical harmonic expansion for three-body systems

Journal Article · Sun Jan 01 04:00:00 EST 1989 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(89)90076-6· OSTI ID:6315363

Haftel, M I; Mandelzweig, V B

A method of acceleration of the convergence of the hyperspherical harmonic expansion, which allows very accurate direct solution of nonrelativistic three body equations, is presented. The detailed description of the method, which combines the use of the Jastrow correlation factors and of the hyperspherical formalism, is given. The calculation of the ground-state wavefunctions of the helium atom and of expectation values of different operators is carried out for cases of finite and infinite nuclear masses and shows that the accuracy of the method is comparable to the most sophisticated variational calculations. The influence of different choices of correlation functions is discussed. The convergence patterns are analyzed and compared with the results of the computation. copyright 1989 Academic Press, Inc.

• Research Organization: Code 4651, Naval Research Laboratory, Washington, DC 20375
• OSTI ID: 6315363
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 189:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
BOUND STATE
DATA
DIFFERENTIAL EQUATIONS
ELEMENTS
ENERGY LEVELS
EQUATIONS
FLUIDS
FUNCTIONS
GASES
GROUND STATES
HELIUM
INFORMATION
JASTROW THEORY
MANY-BODY PROBLEM
MECHANICS
NONMETALS
NUMERICAL DATA
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM MECHANICS
RARE GASES
SCATTERING
SCHROEDINGER EQUATION
SERIES EXPANSION
SPHERICAL HARMONICS METHOD
THEORETICAL DATA
THREE-BODY PROBLEM
WAVE EQUATIONS
WAVE FUNCTIONS