Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-06-26
J.Phys.A30:6553-6564,1997
Physics
High Energy Physics
High Energy Physics - Theory
16 pages
Scientific paper
10.1088/0305-4470/30/18/029
The importance and usefulness of renormalization are emphasized in nonrelativistic quantum mechanics. The momentum space treatment of both two-body bound state and scattering problems involving some potentials singular at the origin exhibits ultraviolet divergence. The use of renormalization techniques in these problems leads to finite converged results for both the exact and perturbative solutions. The renormalization procedure is carried out for the quantum two-body problem in different partial waves for a minimal potential possessing only the threshold behavior and no form factors. The renormalized perturbative and exact solutions for this problem are found to be consistent with each other. The useful role of the renormalization group equations for this problem is also pointed out.
Adhikari Sadhan K.
Ghosh Angsula
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