Boundary conditions on internal three-body wave functions
- Department of Physics, University of California, Berkeley, California 94720 (United States)
For a three-body system, a quantum wave function {psi}{sub m}{sup l} with definite l and m quantum numbers may be expressed in terms of an internal wave function {chi}{sub k}{sup l}, which is a function of three internal coordinates. This article provides necessary and sufficient constraints on {chi}{sub k}{sup l} to ensure that the external wave function {psi}{sub m}{sup l} is analytic. These constraints effectively amount to boundary conditions on {chi}{sub k}{sup l} and its derivatives at the boundary of the internal space. Such conditions find similarities in the (planar) two-body problem where the wave function (to lowest order) has the form r{sup |m|} at the origin. We expect the boundary conditions to prove useful for constructing singularity free three-body basis sets for the case of nonvanishing angular momentum. (c) 2000 The American Physical Society.
- OSTI ID:
- 20215822
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 61; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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