https://doi.org/10.1140/epja/i2008-10636-0
Regular Article - Theoretical Physics
Threshold bound states
1
Department of Physics, University of Pretoria, Pretoria, 0002, South Africa
2
School of Life Sciences, The University of Sussex, Brighton, Sussex, BN1 9QH, UK
* e-mail: wb@wberger.com
Received:
26
June
2008
Revised:
30
July
2008
Published online:
5
September
2008
Relationships between the coupling constant and the binding energy of threshold bound states are obtained in a simple manner from an iterative algorithm for solving the eigenvalue problem. The absence of threshold bound states in higher dimensions can be easily understood.
PACS: 21.10.Dr Binding energies and masses – / 03.65.Ge Solutions of wave equations: bound states – / 02.60.Lj Ordinary and partial differential equations; boundary value problems –
© SIF, Springer-Verlag Berlin Heidelberg, 2008
