Boundary conditions on internal three-body wave functions
- LBNL Library
For a three-body system, a quantum wave function {Psi}{sub m}{sup {ell}} with definite {ell} and m quantum numbers may be expressed in terms of an internal wave function {chi}{sub k}{sup {ell}} which is a function of three internal coordinates. This article provides necessary and sufficient constraints on {chi}{sub k}{sup {ell}} to ensure that the external wave function {Psi}{sub k}{sup {ell}} is analytic. These constraints effectively amount to boundary conditions on {chi}{sub k}{sup {ell}} 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.
- Research Organization:
- Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA (US)
- Sponsoring Organization:
- USDOE Director. Office of Science. Office of Fusion Energy Sciences (US)
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 841543
- Report Number(s):
- LBNL--44436; HIFAN 1008
- Journal Information:
- Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 61
- Country of Publication:
- United States
- Language:
- English
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