Energy Spectrum and Determinant Method in Quantized Field Theory
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概要
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This is a continuation of the previous works on the energy spectrum and the phase shift. First, one's attention is called to the fact that, when multiple processes compete, a certain combination of phase shifts which is always real has elementary properties. As an illustration Levinson's theorem which has previously been generalized to the field theory is directly examined in a modified Lee model in which two channels compete. Next it is shown that the determinant quantity introduced in the foregoing paper has an analytic property corresponding to the structure of the energy spectrum. From this property one obtains a dispersion-like formula involving the stated phase shift, one by one for each eigenspace, which holds without any approximation on inelastic processes. An application of this property also to a statistical-dynamical system is discussed. Further a relation on the asymptotic behavior of the phase shift is suggested and a difference in whether a particle is elementary or composite is remarked.
- 理論物理学刊行会の論文
- 1961-12-25
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関連論文
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- Energy Spectrum and Determinant Method in Quantized Field Theory