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Prog. Theor. Phys. Vol. 26 No. 4 (1961) pp. 483-488

[ Full Text PDF : FREE ACCESS (315K) ]

Macroscopic Causality and Lower Limit for the Energy Derivative of the Scattering Phase Shift

— Relativistic Case —

Takesi Ogimoto

Department of Physics, Osaka University, Osaka

(Received May 18, 1961)

Abstract:

A relation between the macroscopic causality and lower bound of the energy derivative of the scattering phase shift is studied in the case of relativistic quantum field theory. From the requirement of the macroscopic causality the energy derivative of the real part of the phase shift must be non-negative in such an energy region that the imaginary part of phase shift does not vary rapidly with the energy, whereas in another region such inequality is not generally valid.


URL : http://ptp.ipap.jp/link?PTP/26/483/
DOI : 10.1143/PTP.26.483

[ Full Text PDF : FREE ACCESS (315K) ] Citation:


References:

  1. E. P. Wigner, Phys. Rev. 98 (1955), 145[APS].
  2. T. Ogimoto, Prog. Theor. Phys. 24 (1960), 949[PTP].
  3. K. Yamamoto, Prog. Theor. Phys. 23 (1960), 859[PTP].