Nonrelativistic bound-state problems in momentum space
Journal
Journal of Physics A
Journal Volume
19
Journal Issue
13
Pages
2537-2547
Date Issued
1986
Author(s)
Abstract
The nonrelativistic bound-state problem is studied in momentum space with emphasis on the potentials which are divergent at large distances. The Schrodinger integral equation is solved by the collocation method. In contrast to the bound-state problem in coordinate space, solving this type of eigenproblem in momentum space does not yield the correct eigenvalues unless the 'infrared' divergent potential is regularised. A regularisation method is introduced and illustrated with two examples, namely the simple harmonic oscillator and the linearly rising potential. Finally the quarkonium systems are studied with the regulated linear plus Coulomb potential.
Type
journal article