2002/04/07 by V. A. Roudnev, Vladimir Roudnev, Roudnev, V. A. +4
Physics and Astronomy · #Atomic and Molecular Clusters (physics.atm-clus) #Atomic and Molecular Physics #Chemical Physics (physics.chem-ph) #Cold Atom Physics and Bose-Einstein Condensates #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Quantum optics and atomic interactions #physics.atm-clus #physics.chem-ph #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.physics/0204025
18 pages, 3 figures, 9 tables, revtex4
openalex publication_date 2002/04/07 · arxiv created 2002/04/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A method to calculate the bound states of three-atoms without resorting to an explicit partial wave decomposition is presented. The differential form of the Faddeev equations in the total angular momentum representation is used for this purpose. The method utilizes Cartesian coordinates combined with the tensor-trick preconditioning for large linear systems and Arnoldi's algorithm for eigenanalysis. As an example, we consider the He3 system in which the interatomic force has a very strong repulsive core that makes the three-body calculations with standard methods tedious and cumbersome requiring the inclusion of a large number of partial waves. The results obtained compare favorably with other results in the field.