Fredholm Theory of Scattering
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概要
- 論文の詳細を見る
The Fredholm theory of integral equations is applied to the non-relativistic theory of scattering. Divergence difficulties are overcome by using the Poincare-Hilbert formula. It is shown that the Fredholm determinant has a zero of order 2l+1 corresponding to a bound state or a resonance with orbital angular momentum l. In order to see the speed of convergence of the Fredholm determinant as a power series in the coupling constant, scattering by the Yukawa potential and the exponential potential is studied. Application of our method to the Bethe-Salpeter equation is also discussed.
- 理論物理学刊行会の論文
- 1966-05-25
著者
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KAWAGUCHI Masaaki
Department of Applied Mathematics, Faculty of Engineering Science Osaka University
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Kanki Takeshi
Institute of Physics, College of General Education, Osaka University
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Kawaguchi Masaaki
Department Of Applied Mathematics Faculty Of Engineering Science
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Kanki T.
Institute of Physics College of General Education Osaka University
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