Matrix elements between vector hyperspherical states

Nir Barnea*, Victor B. Mandelzweig

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Three-body symmetrized vector hyperspherical harmonic functions, realizing irreducible representations of the permutation group of three particles, are constructed and expressed in terms of Wigner D functions. Matrix elements of arbitrary two-body potentials between these hyperspherical states, including their velocity-dependent parts, are calculated analytically and expressed through the sum of products of the Wigner 3-j symbols and explicitly written functions of the radial variable.

Original languageAmerican English
Pages (from-to)7053-7064
Number of pages12
JournalPhysical Review A
Volume44
Issue number11
DOIs
StatePublished - 1991

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