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Prog. Theor. Phys. Vol. 68 No. 4 (1982) pp. 1377-1393
Poincaré-Cartan Invariant Form and Dynamical Systems with Constraints. II
Reiji Sugano
Department of Physics, Osaka City University, Osaka 558
(Received March 11, 1982)
Abstract:
A formulation of point mechanics with singular Lagrangians is developed further on the basis of the Poincaré-Cartan invariant form. Its extension to field theory is also made. Properties with respect to gauge transformation of the electromagnetic and the Yang-Mills fields are discussed in the light of this formalism.
URL :
http://ptp.ipap.jp/link?PTP/68/1377/
DOI : 10.1143/PTP.68.1377
References:
- R. Sugano and H. Kamo, Prog. Theor. Phys. 67 (1982), 1966[PTP].
- P. A. M. Dirac, Lectures on Quantum Mechanics (Belfer Graduate School of Science, Yeshiva University, New York, 1964).
- A. Hanson, T. Regge and C. Teitelboim, Accademia Nationale dei Lincei, Rome #22 (1976).
D. Dominici and J. Gomis, J. Math. Phys. 21 (1980), 2124[CrossRef].
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R. D. Peccei, Phys. Rev. D 17 (1978), 1097[APS].
- V. N. Gribov, Materials for the 12th Winter School of the Leiningrad Nuclear Institute, 1977.
Citing Article(s) :
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Progress of Theoretical Physics Vol. 69 No. 1 (1983) pp. 252-261
:
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On the Relation of First-Class Constraints to Gauge Degrees of Freedom
-
Reiji Sugano and Toshiei Kimura
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Progress of Theoretical Physics Vol. 69 No. 4 (1983) pp. 1256-1271
:
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On the Choice of Gauge Conditions for Systems with Secondary First Class Constraints
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Reiji Sugano and Toshiei Kimura
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Progress of Theoretical Physics Vol. 70 No. 1 (1983) pp. 36-50
:
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Necessary and Sufficient Conditions of Reducibility of Gauge Degrees of Freedom without Using Gauge Conditions
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Reiji Sugano
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Progress of Theoretical Physics Vol. 73 No. 4 (1985) pp. 1025-1042
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Relation between Generators of Gauge Transformations and Subsidiary Conditions on State Vectors
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Reiji Sugano, Tohru Sohkawa and Toshiei Kimura
