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Prog. Theor. Phys. Vol. 58 No. 6 (1977) pp. 1947-1953

[ Full Text PDF : FREE ACCESS (473K) ]

Elimination of Relative Time in Bilocal Model

Kiyoshi Kamimura

Department of Physics and Atomic Energy Research Institute,
College of Science and Technology, Nihon University, Kanda, Tokyo 101

(Received May 26, 1977)

Abstract:

The subsidiary conditions in the relativistic bilocal model are studied. In contrast to the conventional approach they are regarded as strong relations among dynamical variables. They are eliminated by using a canonical transformation in classical mechanics. The space-like solutions as well as time-lime solutions appear in this approach. The generators of Poincare group are constructed explicitly both for time-like and space-like solutions.


URL : http://ptp.ipap.jp/link?PTP/58/1947/
DOI : 10.1143/PTP.58.1947

[ Full Text PDF : FREE ACCESS (473K) ] Citation:

References:

  1. T. Takabayasi, Prog. Theor. Phys. 54 (1975), 563[PTP]; ibid. 57 (1977), 331[PTP].
    T. Takabayasi and S. Kojima, Prog. Theor. Phys. 57 (1977), 2127[PTP].
    T. Takabayasi, Prog. Theor. Phys. 58 (1977), 1299[PTP].
  2. T. Gotō, Prog. Theor. Phys. 58 (1977), 1635[PTP].
  3. K. Kamimura and T. Shimizu, Prog. Theor. Phys. 58 (1977), 383[PTP].
  4. P. A. M. Dirac, Can. J. Math. 2 (1950), 129.
  5. T. Takabayasi, Nuovo Cim. 33 (1964), 668.
  6. T. Gotō, Prog. Theor. Phys. 58 (1977), 1973[PTP].
  7. T. Yamanouchi, R. Uchiyama and T. Nakano, Theory of General Relativity and Gravity (Schokabo, Tokyo, 1967) (in Japanese).
  8. K. Kamimura and T. Shimizu, NUP-A-77-17 (preprint).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 633-645 :
    The Interaction of the Bi-Local Field with the External Field
    Tetsuo Gotō and Kiyoshi Kamimura
  2. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1746-1754 :
    Scattering Amplitude of Bi-Local Field in External Source
    Kiyoshi Kamimura and Tadayoshi Shimizu
  3. Progress of Theoretical Physics Vol. 59 No. 6 (1978) pp. 2133-2148 :
    Constraints, Center-of-Masses and Quantization for Relativistically Structured Systems
    Takehiko Takabayasi and Kenji Takeuchi
  4. Progress of Theoretical Physics Vol. 60 No. 2 (1978) pp. 595-610 :
    Constituent Mass, Free-Limit Condition, and Quantization for Trilocal Theory
    Takehiko Takabayasi
  5. Progress of Theoretical Physics Vol. 61 No. 3 (1979) pp. 960-970 :
    Relativistic Two-Particle System and Spin-Mass Relations of Meson
    Seiji Kojima
  6. Progress of Theoretical Physics Vol. 62 No. 4 (1979) pp. 1143-1151 :
    Bi-Local Field on Space-Like Surface
    Kiyoshi Kamimura
  7. Progress of Theoretical Physics Vol. 62 No. 5 (1979) pp. 1403-1418 :
    Relativistic Mechanical Model for Three-Particle System
    Seiji Kojima
  8. Progress of Theoretical Physics Vol. 71 No. 5 (1984) pp. 1051-1062 :
    Lagrangian Formulation of Todorov-Komar Model
    J. Gomis, Kiyoshi Kamimura and J. M. Pons
  9. Progress of Theoretical Physics Vol. 73 No. 2 (1985) pp. 476-495 :
    Canonical Formulation of Superstring
    Takayuki Hori and Kiyoshi Kamimura
  10. Progress of Theoretical Physics Supplement No.67 (1979) pp. 1-68 :
    Relativistic Mechanics of Confined Particles as Extended Model of Hadrons
    Takehiko Takabayasi
  11. Progress of Theoretical Physics Supplement No.67 (1979) pp. 69-114 :
    On the Bi-Local Model and String Model
    Tetsuo Gotō, Shigefumi Naka and Kiyoshi Kamimura

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