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On the existence of scattering solutions for singular potentials

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Lettere al Nuovo Cimento (1971-1985)

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  1. A. Bastai, L. Bertocchi, S. Fubini, G. Furlan andM. Tonin:Nuovo Cimento,30, 1512, 1532 (1963);W. Guttinger, R. Penzl andE. Pfaffelhuber:Ann. of Phys.,33, 246 (1965);Nuovo Cimento,35, 1247 (1965);H. H. Aly andJ. G. Taylor:Journ. Math. Phys.,9, 781 (1968).

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  2. R. M. Spector:Journ. Math. Phys.,8, 2357 (1967).

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  3. See, for example,E. Coddington andN. Levinson:Theory of Ordinary Differential Equations (New York, 1955);P. Hartman:Ordinary Differential Equations (New York, 1964), p. 370, Theorem 8.1;R. Bellman:Stability Theory of Differential Equations (New York, 1954);V. de Alfaro andT. Regge:Potential Scattering (Amsterdam, 1965).

  4. See, for example,T. Kato:Comm. Pure Appl. Math.,12, 403 (1959).

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  5. G. Watson:Theory of Bessel Functions, 2nd Edition (London, 1944), p. 78.

  6. G. Watson:Theory of Bessel Functions, 2nd Edition (London, 1944) p. 98;H. H. Aly, Riazuddin andA. H. Zimerman:Nuovo Cimento,35 324 (1964).

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Authors and Affiliations

  1. Faculty of Physics, Southern Illinois University, Edwardsville, Ill.

    H. H. Aly

  2. IBM Thomas J. Watson Research Center, Yorktown Heights, N. Y.

    F. Odeh

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  1. H. H. Aly
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  2. F. Odeh
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Aly, H.H., Odeh, F. On the existence of scattering solutions for singular potentials. Lett. Nuovo Cimento 2, 193–199 (1971). https://doi.org/10.1007/BF02772748

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