Exact Treatment of the Bound State Problems in the Non-Relativistic Quantum Field Theory
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概要
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An exact equation for the bound state of nucleons in the static neutral scalar model is obtained by using the field equation for Heisenberg operator and the method of canonical transformation. The formulation of the eigenvalue problem is completed by the analyticity consideration. In particular, a boundary condition at τ=0 (-iτ being the "negative imaginary" relative time) turns out that the derivative of the "wave function" with respect to τ must be zero at τ=0. The abnormal solutions exist in this case as well as in the ladder approximation, but there is difference in nature between them for the zero meson mass case. The appearance of abnormal solutions is mainly due to the structure of the fundamental equation itself. This is demonstrated by handling a first order equation for the static neutral scalar model and the Bethe-Salpeter equation for the Lee model, in both cases of which the abnormal solutions do not appear.
- 理論物理学刊行会の論文
- 1961-05-25
著者
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MUGIBAYASHI Nobumichi
Department of Electrical and Electronic Engineering,Faculty of Engineering,Kobe University
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Mugibayashi Nobumichi
Department Of Physics Kobe University
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