2000/09/27 by Vladimir S. Vanyashin, V.S. Vanyashin, Vanyashin, Vladimir S.
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Atomic Physics (physics.atom-ph) #FOS: Physical sciences #Geophysics and Gravity Measurements #Space Satellite Systems and Control #Spacecraft Dynamics and Control #physics.atom-ph
paper · pdf · doi:10.48550/arxiv.physics/0009082
Latex, 6 pages, talk given at the International Conference dedicated to the memory of Professor Efim Fradkin, Moscow, 5 - 10 May 2000, to appear in the Conference Proceedings
arxiv created 2000/09/27 · openalex publication_date 2000/09/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new variational basis with well-behaved local approximation properties and multiple output is proposed for Coulomb systems. The trial function has proper behaviour at all Coulomb centres. Nonlinear asymptotic parameters are introduced softly: they do not destroy the self-optimized local behaviour of the wave function at vanishing interparticle distances. The diagonalization of the Hamiltonian on a finite Hilbert subspace gives a number of meaningful eigenvalues. Thus together with the ground state some excited states are also reliably approximated. For three-body systems all matrix elements are analytically obtainable up to rational functions of asymptotic parameters. The feasibility of the new basis usage has been proved by a pilot computer algebra calculation. The negative sign of an electron pair local energy at their Coulomb centre has been revealed. PACS number: 31.15.Pf