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Prog. Theor. Phys. Vol. 12 No. 2 (1954) pp. 234-240

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Upper and Lower Bounds of Born Approximation, II

Takashi Kikuta

Department of Physics, University of Tokyo

(Received April 30, 1954)

Abstract:

The properties of three dimensional Born approximation are investigated along similar lines as Part 1. Relations between one dimensional and three dimensional Born approximations are elucidated. We also compare the convergence radii for both approximations for typical examples.


URL : http://ptp.ipap.jp/link?PTP/12/234/
DOI : 10.1143/PTP.12.234

[ Full Text PDF : FREE ACCESS (437K) ] Citation:


References:

  1. The explicit integrations of second Born approximation for various potentials were devised by
    R. H. Dalitz. Proc. R. Soc. (London) A 206 (1951), 509.
    Numerical tables of second Born approximation were given by
    L. Mower, Phys. Rev. 89 (1953), 947[APS].
  2. W. Kohn, Phys. Rev. 87 (1952), 539, [APS]and preprint to Prof. T. Kato.
  3. P. Urban and K. Wildermuth, Z. Naturforschg. a 8 (1953), 594.
  4. R. Jost and A. Pais, Phys. Rev. 82 (1951), 840[APS].
  5. T. Kikuta, Prog. Theor. Phys. 10 (1953), 653, [PTP]Fig. 2.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 14 No. 1 (1955) pp. 52-64 :
    On the Meson-Theoretical Potentials
    Shoichiro Otsuki and Ryozo Tamagaki