Variational Calculation of the Scattering Lengths in Electron-Hydrogen Scattering

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概要

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• The non-relativistic Schrodinger equation of electron plus hydrogen-atom system is solved by the Hulthen type variational method at the limit of zero incident electron energy. 8 and 5 parameter trial functions are used for the singlet and triplet states respectively, and the following upper bounds on the scattering length a are obtained, a_s≦6.217a_0 (singlet), a_t≦2.272a_0 (triplet). Some discussions are given on the accuracy of the result. It is shown that the relation a_<OH>>a_<SH>>a_K>a(true) holds for trial functions of the same form if a(true) is positive.

• 理論物理学刊行会の論文
• 1961-03-25

著者

• Hara Yasuo

  Department Of Surgery Nagoya Higashi Municipal Hospital

• Ohmura Takashi

  Division Of Pure Physics National Research Council : Department Of Physics University Of Tokyo

• Ohmura Takashi

  Division Of Pure Physics National Research Council Of Canada

• Hara Yasuo

  Department Of Physics Tokyo University Of Education

• Hara Yasuo

  Department Of Physics University Of Tokyo : Department Of Physics Washington University

• YAMANOUCHI Takahiko

  Department of Physics, University of Tokyo

• Yamanouchi Takahiko

  Department Of Applied Mathematics Second Faculty Of Engineering And Department Of Dynamics First Fac

• Yamanouchi Takahiko

  Department Of Physics University Of Tokyo : Department Of Physics Washington University

• HARA Y.

  Department of Periodontology, Unit of Translational Medicine, Course of Medical and Dental Sciences,

• YAMANOUCHI Takahiko

  Department of Physics, University of Tokyo : Department of Physics, Washington University

• OHMURA Takashi

  Division of Pure Physics, National Research Council of Canada

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