Sadhan K Adhikari and Angsula Ghosh 1997 J. Phys. A: Math. Gen. 30 6553 doi:10.1088/0305-4470/30/18/029
Renormalization in non-relativistic quantum mechanics
Sadhan K Adhikari and Angsula Ghosh
Show affiliationsThe importance and usefulness of renormalization are emphasized in non-relativistic 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 behaviour 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.
- PACS
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11.10.St Bound and unstable states; Bethe-Salpeter equations
- MSC
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81Uxx Scattering theory (See also 34A55, 34L25, 34L40, 35P25, 47A40)
- Subjects
- Dates
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Issue 18 (21 September 1997)
Received 18 February 1997, in final form 10 June 1997
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Renormalization in non-relativistic quantum mechanics
Sadhan K Adhikari and Angsula Ghosh 1997 J. Phys. A: Math. Gen. 30 6553
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