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On a Paper of Green and Lanford
1.T. A. Green and O. E. Lanford, III, J. Math. Phys. 1, 139 (1960). Hereafter, we shall refer to this paper as I.
2.S. T. Kuroda, J. Math. Soc. Japan 12, 243 (1960), hereafter referred to as II.
3.The transforms and F are the restrictions on the partial wave space under consideration of the transforms and F given in I.
4.Although may be regarded as identical with X, we make a distinction mainly because X and correspond to the configuration and momentum spaces, respectively.
5.We regard the momentum spaces of the free and actual particles as identical. This is for the convenience in handling the phase shift formula without introducing the canonical mapping between two momentum spaces.
6.See Secs. II and III of reference 1.
7.Incidentally, we remark that, in II, is denoted by
8.Although (12) is established here only for the one‐dimensional case, the same argument as in the above remark shows that (12) holds also for three‐dimensional wave operators.
9.“Uniformly for ” means that the convergence is uniform with respect to k in any closed interval of of k.
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