HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 18 (1957) > Number 1
| Next Article >

Prog. Theor. Phys. Vol. 18 No. 1 (1957) pp. 51-65

[ Full Text PDF : FREE ACCESS (1126K) ]

Criticism on the Assumptions in the Formal Scattering Theory

Tsutomu Imamura

Department of Physics, Osaka University, Osaka

(Received March 20, 1957)

Abstract:

We derive the conditions which give a well-defined meaning to the mathematical expressions appearing in the current formal scattering theory. These conditions remove some restrictions that are usually imposed on the spectra of H and H0. By these conditions we can systematically discuss many problems, such as the equivalence between two kinds of S-matrices given by Heisenberg and Dyson respectively, or as the adiabatic theorem in the quantum field theory. The rearrangement collisions can be investigated from this view-point.


URL : http://ptp.ipap.jp/link?PTP/18/51/
DOI : 10.1143/PTP.18.51

[ Full Text PDF : FREE ACCESS (1126K) ] Citation:

References:

  1. B. A. Lippmann and J. Schwinger, Phys. Rev. 79 (1950), 469[APS].
  2. H. S. Snyder, Phys. Rev. 83 (1951), 1154[APS].
  3. H. Suura, Y. Mimura and T. Kimura, Prog. Theor. Phys. 7 (1952), 171[PTP].
  4. S. T. Ma, Phys. Rev. 91 (1953), 392[APS].
  5. M. Gell-Mann and M. L. Goldberger, Phys. Rev. 91 (1953), 398[APS].
  6. F. Low and G. F. Chew, Scattering Theory Seminor (Lecture note at Univ. of Illinois, 1953).
  7. H. Ekstein, Phys. Rev. 94 (1954), 1063[APS].
  8. M. N. Hack, Phys. Rev. 96 (1954), 196[APS].
  9. B. J. Belinfante and C. Møller, Kgl. Danske Viedenskab. Mat. fys. Medd. 28 (1954).
  10. F. Coester, M. Hamermesh and K. Tanaka, Phys. Rev. 96 (1954), 1142[APS].
  11. H. E. Moses, Nuovo Cim. 1 (1955), 103.
  12. K. A. Bruckner and C. A. Levinson, Phys. Rev. 97 (1955), 1344[APS].
  13. R. J. Eden and N. C. Francis, Phys. Rev. 97 (1955), 1366[APS].
  14. H. A. Bethe, Phys. Rev. 103 (1956), 1353[APS].
  15. B. S. Dewitt, Phys. Rev. 100 (1955), 905[APS].
  16. G. Källén, Helv. Phys. Acta 25 (1952), 417; Det. Kong. Dansk. Viedensk. Medd. 27 (1953), Nr. 12; Helv. Phys. Acta 26 (1953), 755.
  17. M. Gell-Mann and F. E. Low, Phys. Rev. 95 (1954), 1300[APS].
  18. H. Lehmann, Nuovo Cim. 2 (1954), 342.
  19. S. Sunakawa, Prog. Theor. Phys. 14 (1955), 175[PTP].
  20. S. Bochner, Vorlesungen über Fouriersche Integrale, Leipzig (1932).
  21. T. D. Lee, Phys. Rev. 95 (1954), 1329[APS].
  22. H. Araki, Y. Munakata, M. Kawaguchi and T. Goto, Prog. Theor. Phys. 17 (1957), 419[PTP].
  23. K. Naito, in press.
  24. Y. Fujimoto, S. Hayakawa and K. Nishijima, Prog. Theor. Phys. 10 (1953), 113[PTP].
  25. K. Nishijima, Prog. Theor. Phys. 10 (1953), 549[PTP]; ibid. 12 (1954), 279[PTP].
  26. H. Ekstein, Phys. Rev. 101 (1956), 880[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 18 No. 6 (1957) pp. 559-566 :
    A New Approach to a Bound State
    Tsutomu Imamura

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.