Scattering by singular logarithmic potential

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1965-01-01

Autores

Aly, H. H.
Riazuddin,
Zimerman, A. H.

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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.

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Journal of Mathematical Physics, v. 6, n. 7, p. 1115-1117, 1965.