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Prog. Theor. Phys. Vol. 5 No. 3 (1950) pp. 405-411

[ Full Text PDF : FREE ACCESS (419K) ]

On the Elimination of the Normal-dependent Part from the Hamiltonian

Kazuhiko Nishijima

Institute of Physics, Tokyo University

(Received February 22, 1950)

Abstract:

We know in the covariant formalism that the Hamiltonian density H depends on the normal of the space-like surface in many cases. It is because of the fact that the commutator of the Hamiltonians between two space-like points contains the 2nd order derivatives of the D-function, and the reason of the occurrence of such funcions comes from that H contains the derivatives of the wave function of some field (meson field).
In this paper, we will see that it is possible to eliminate the normal dependent part from H by modifying Dyson's P-bracket.


URL : http://ptp.ipap.jp/link?PTP/5/405/
DOI : 10.1143/PTP.5.405

[ Full Text PDF : FREE ACCESS (419K) ] Citation:

References:

  1. F. J. Dyson, Phys. Rev. 75 (1949), 486[APS].
  2. Z. Koba, Prog. Theor. Phys. 5 (1950), 139[PTP].
  3. P. T. Matthews, Phys. Rev. 76 (1949), 684[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 5 No. 5 (1950) pp. 813-821 :
    On the Generalized Transformation Function and the Integrability Condition
    Kazuhiko Nishijima
  2. Progress of Theoretical Physics Vol. 6 No. 5 (1951) pp. 849-890 :
    Production of Charged π-Meson by γ-Ray
    Ziro Koba, Tsuneyuki Kotani and Shinzo Nakai
  3. Progress of Theoretical Physics Vol. 6 No. 6 (1951) pp. 1024-1025 :
    Divergences arising from Nuclear Forces
    T. Nakano and K. Nishijima
  4. Progress of Theoretical Physics Vol. 7 No. 2 (1952) pp. 131-170 :
    On Lagrangian and Hamiltonian Formalism
    Yoichiro Nambu
  5. Progress of Theoretical Physics Vol. 8 No. 4 (1952) pp. 401-415 :
    On Lagrangian Formalism
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  6. Progress of Theoretical Physics Vol. 33 No. 2 (1965) pp. 279-289 :
    Remarks on the Relativistic Covariance of the Theory of Vector Mesons
    Morio Nakamura
  7. Progress of Theoretical Physics Vol. 48 No. 5 (1972) pp. 1693-1707 :
    Feynman Rules and Factor Ordering in Derivative Coupling and Spin-One Theories
    Joel S. Kvitky and John O. Mouton
  8. Progress of Theoretical Physics Vol. 51 No. 3 (1974) pp. 920-944 :
    Super-Quantization. II
    Susumu Okubo

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