Singular Potentials and Limit Cycles

Details Singular Potentials and Limit Cycles Singular Potentials and Limit Cycles

2000-10-19

arxiv.org/abs/quant-ph/0010073v2

Phys.Rev. A64 (2001) 042103

Physics

Quantum Physics

15 pages LaTex, 5 eps figures, error in figures and text corrected

Scientific paper

10.1103/PhysRevA.64.042103

We show that a central $1/r^n$ singular potential (with $n\geq 2$) is
renormalized by a one-parameter square-well counterterm; low-energy observables
are made independent of the square-well width by adjusting the square-well
strength. We find a closed form expression for the renormalization-group
evolution of the square-well counterterm.

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