Scattering by singular logarithmic potential
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Potential of the form (gr-4 ln2 r - g1/2r -3)θ(r - r0) is considered in connection with the applicability of peratization technique. The advantage of this potential is the fact that while it is dominated by a logarithmic part near the origin, the exact solution of the zero-energy and s-wave Schrödinger equation is obtained in a closed form. We show that the peratization technique gives the correct answers.
How to cite this document
Aly, H. H.; Riazuddin,; Zimerman, A. H.. Scattering by singular logarithmic potential. Journal of Mathematical Physics, v. 6, n. 7, p. 1115-1117, 1965. Available at: <http://hdl.handle.net/11449/231083>.