Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Three-body hyperspherical method with infinite angular expansions

Journal Article · · Physical Review. A
; ;  [1]
  1. State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071 (China)
The hyperspherical method based on infinite angular expansions is introduced. We approximate the cusp behavior of a wave function using B-spline techniques. Calculations for the ground-state energies of the atomic helium and the e{sup +}Li system are presented as two examples for testing this method. The computed ground-state energy of He is -2.903 724 a.u. with single particle orbitals l{sub max}=8. For the e{sup +}Li system, with l{sub max}=9, the ground-state energy is -0.250 83 a.u., which is better than the configuration interaction result of -0.250 107 82 a.u. with l{sub max}=30.
OSTI ID:
22095746
Journal Information:
Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
Country of Publication:
United States
Language:
English

Similar Records

Comments on explicitly correlated wave functions for the ground state of the helium atom
Journal Article · Sat Oct 01 00:00:00 EDT 1977 · Phys. Rev., A; (United States) · OSTI ID:7209907

First order of the hyperspherical harmonic expansion method
Journal Article · Wed Oct 31 23:00:00 EST 1979 · Ann. Phys. (N.Y.); (United States) · OSTI ID:5611640

Fast convergent hyperspherical harmonic expansion for three-body systems
Journal Article · Sat Dec 31 23:00:00 EST 1988 · Ann. Phys. (N.Y.); (United States) · OSTI ID:6315363