HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 24 (1960) > Number 4
| Next Article >

Prog. Theor. Phys. Vol. 24 No. 4 (1960) pp. 689-720

[ Full Text PDF : FREE ACCESS (1607K) ]

Energy Spectrum and Scattering Problem in Quantized Field Theory

Shûkô Azuma

Department of Physics, Fukusima University, Fukusima

(Received December 23, 1959)

Abstract:

It is shown that the scattering problem can be formulated in terms of a generating operator with respect to the variation of the coupling parameter which is contained in the Hamiltonian. This formalism makes the rigorous treatment of such problems possible concerning the self energies of closed systems as well as the scattering between bound states. One can further obtain a certain general relation concerning the phase shifts and levels, which includes the field theoretical generalization of Levinson's theorem.


URL : http://ptp.ipap.jp/link?PTP/24/689/
DOI : 10.1143/PTP.24.689

[ Full Text PDF : FREE ACCESS (1607K) ] Citation:

References:

  1. C. N. Yang and G. Feldman, Phys. Rev. 79 (1950), 973[APS].
  2. M. Gell-Mann and F. Low, Phys. Rev. 84 (1951), 350[APS].
  3. J. Schwinger, Proc. Nat. Acad. Sci. 37 (1951), 452; ibid. 37 (1951), 455.
  4. A. Klein, Phys. Rev. 99 (1955), 1000[APS].
  5. R. Haag, Phys. Rev. 112 (1958), 669[APS].
  6. T. Imamura, S. Sunakawa and R. Utiyama, Prog. Theor. Phys. 11 (1954), 291[PTP].
  7. N. Levinson, Kgl. Danske Vid. Selsk. Mat.-fys. Medd. 25 (1949), No. 9.
  8. J. M. Jauch, Helv. Phys. Acta 30 (1957), 143.
  9. F. Low, Phys. Rev. 97 (1955), 1392[APS].
  10. E. P. Wigner, Göttinger Nachrichten (1932), 546.
  11. J. Schwinger, Phys. Rev. 82 (1951), 914[APS].
  12. G. Morpurgo, L. A. Radicati and B. F. Touscheck, Nuovo Cim. 12 (1954), 677.
  13. Bogoliubov, Medvedev and Polivanov, lecture note (1957).
  14. T. Imamura, Prog. Theor. Phys. 18 (1957), 559[PTP].
  15. G. Källen and W. Pauli, Kgl. Danske Vid. Selsk. Mat.-fys. Medd. 30 (1955), No. 7.
  16. M. L. Goldberger and S. B. Treiman, Phys. Rev. 113 (1958), 1663[APS].
  17. E. P. Wigner, Phys. Rev. 98 (1955), 145[APS].
  18. S. T. Epstein, Phys. Rev. 98 (1955), 196[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 25 No. 3 (1961) pp. 381-403 :
    Phase Shift and Identities in Quantized Field Theory
    Shûkô Azuma
  2. Progress of Theoretical Physics Vol. 26 No. 6 (1961) pp. 861-878 :
    Energy Spectrum and Determinant Method in Quantized Field Theory
    Shûkô Azuma
  3. Progress of Theoretical Physics Vol. 29 No. 1 (1963) pp. 87-96 :
    Use of the Generalized Jost Function in Quantum Field Theory
    Takeshi Kanki

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.