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Prog. Theor. Phys. Vol. 8 No. 4 (1952) pp. 401-415

[ Full Text PDF : FREE ACCESS (998K) ]

On Lagrangian Formalism

Kazuhiko Nishijima

Department of Physics, Osaka City University

(Received August 8, 1952)

Abstract:

The differences between Lagrangian and Hamiltonian formalisms are discussed through the concept of chronological ordering operators thereby keeping close correspondence to Feynman's path integral.
Next a method to derive commutation relations without referring to Hamiltonian formalism is presented.


URL : http://ptp.ipap.jp/link?PTP/8/401/
DOI : 10.1143/PTP.8.401

[ Full Text PDF : FREE ACCESS (998K) ] Citation:

References:

  1. F. J. Dyson, Phys. Rev. 75 (1949), 486[APS].
    Also see R. P. Feynman, Phys. Rev. 84 (1951), 108[APS].
  2. R. P. Feynman, Rev. Mod. Phys. 20 (1948), 367[APS]; Phys. Rev. 80 (1950), 440[APS].
  3. Y. Nambu, Prog. Theor. Phys. 7 (1952), 131[PTP].
  4. Z. Koba, Prog. Theor. Phys. 5 (1950), 696[PTP].
    K. Nishijima, Prog. Theor. Phys. 5 (1950), 405[PTP]; ibid. 5 (1950), 813[PTP].
    There are serious mistakes in the content of the latter paper, which are corrected in the present paper.
    Y. Nambu, see ref. (3).
  5. R. P. Feynman, Phys. Rev. 76 (1949), 749[APS]; ibid. 76 (1949), 769[APS].
  6. C. N. Yang and D. Feldman, Phys. Rev. 79 (1950), 972[APS].
    G. Kallen. Arkiv för Fysik, Bd. 2 Nr. 19, (1950).
    F. J. Dyson, Phys. Rev. 82 (1951), 428[APS]; ibid. 83 (1951), 608[APS].
  7. R. E. Peierls, to be published.
    The author wishes to express his thanks to Prof. Peierls for having made him available his paper in advance of publication.
  8. W. Pauli, Phys. Rev. 58 (1940), 716[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 10 No. 5 (1953) pp. 549-574 :
    Many-body Problem in Quantum Field Theory
    Kazuhiko Nishijima
  2. Progress of Theoretical Physics Vol. 13 No. 3 (1955) pp. 305-328 :
    Many-Body Problem in Quantum Field Theory, III
    Kazuhiko Nishijima
  3. Progress of Theoretical Physics Vol. 17 No. 6 (1957) pp. 765-802 :
    On the Asymptotic Conditions in Quantum Field Theory
    Kazuhiko Nishijima
  4. Progress of Theoretical Physics Vol. 47 No. 4 (1972) pp. 1378-1384 :
    Green's Functions for the Massive Yang-Mills Field
    Kazuhiko Nishijima and Tadashi Watanabe

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