Fast Convergent Hyperspherical Expansion and Its Application to Precise Nonvariational Atomic Calculations
Abstract
An efficient method of solving the three-body Schroedinger equation is presented. The wave function is decomposed into the product of a correlation factor describing the singularity and clustering structure, and a smooth factor expanded in hyperspherical harmonics. The application to the Helium atom yields a ground state energy of 2.9037244 (2.9033052) au for infinite (finite) nuclear mass. The convergence pattern shows that the accuracy of these values is better than a few parts in 10 to the 8th power.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1985
- Accession Number
- ADA227517
Entities
People
- M. I. Haftel
- V. B. Mandelzweig
Organizations
- University of Maryland