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Volumn 46, Issue 1-2, 2000, Pages 107-112

On the Duffin-Kemmer-Petiau formulation of the covariant Hamiltonian dynamics in field theory

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EID: 0034238871     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0034-4877(01)80013-6     Document Type: Article
Times cited : (105)

References (41)
  • 1
    • 0002308536 scopus 로고
    • No. 2
    • G. Petiau: Acad. R. Belg. Cl. Sci. Mem. Collect. (8) 16, No. 2 (1936); R. J. Duffin: Phys. Rev. 54, 1114 (1938); N. Kemmer: Proc. Roy. Soc. (London) A173, 91-116 (1939); N. Kemmer: Proc. Camb. Phil. Soc. 39, 189-96 (1943); M. Taketani and S. Sakata: Proc. Phys. Math. Soc. Japan 22, 757-70 (1940) [Reprinted in Suppl. Progr. Theor. Phys. 22, 84-97 (1955)].
    • (1936) Acad. R. Belg. Cl. Sci. Mem. Collect. , vol.16 , Issue.8
    • Petiau, G.1
  • 2
    • 36149010674 scopus 로고
    • G. Petiau: Acad. R. Belg. Cl. Sci. Mem. Collect. (8) 16, No. 2 (1936); R. J. Duffin: Phys. Rev. 54, 1114 (1938); N. Kemmer: Proc. Roy. Soc. (London) A173, 91-116 (1939); N. Kemmer: Proc. Camb. Phil. Soc. 39, 189-96 (1943); M. Taketani and S. Sakata: Proc. Phys. Math. Soc. Japan 22, 757-70 (1940) [Reprinted inSuppl. Progr. Theor. Phys. 22, 84-97 (1955)].
    • (1938) Phys. Rev. , vol.54 , pp. 1114
    • Duffin, R.J.1
  • 3
    • 0003082795 scopus 로고
    • London
    • G. Petiau: Acad. R. Belg. Cl. Sci. Mem. Collect. (8) 16, No. 2 (1936); R. J. Duffin: Phys. Rev. 54, 1114 (1938); N. Kemmer: Proc. Roy. Soc. (London) A173, 91-116 (1939); N. Kemmer: Proc. Camb. Phil. Soc. 39, 189-96 (1943); M. Taketani and S. Sakata: Proc. Phys. Math. Soc. Japan 22, 757-70 (1940) [Reprinted inSuppl. Progr. Theor. Phys. 22, 84-97 (1955)].
    • (1939) Proc. Roy. Soc. , vol.A173 , pp. 91-116
    • Kemmer, N.1
  • 4
    • 84932544622 scopus 로고
    • G. Petiau: Acad. R. Belg. Cl. Sci. Mem. Collect. (8) 16, No. 2 (1936); R. J. Duffin: Phys. Rev. 54, 1114 (1938); N. Kemmer: Proc. Roy. Soc. (London) A173, 91-116 (1939); N. Kemmer: Proc. Camb. Phil. Soc. 39, 189-96 (1943); M. Taketani and S. Sakata: Proc. Phys. Math. Soc. Japan 22, 757-70 (1940) [Reprinted inSuppl. Progr. Theor. Phys. 22, 84-97 (1955)].
    • (1943) Proc. Camb. Phil. Soc. , vol.39 , pp. 189-196
    • Kemmer, N.1
  • 5
    • 0002371599 scopus 로고
    • G. Petiau: Acad. R. Belg. Cl. Sci. Mem. Collect. (8) 16, No. 2 (1936); R. J. Duffin: Phys. Rev. 54, 1114 (1938); N. Kemmer: Proc. Roy. Soc. (London) A173, 91-116 (1939); N. Kemmer: Proc. Camb. Phil. Soc. 39, 189-96 (1943); M. Taketani and S. Sakata: Proc. Phys. Math. Soc. Japan 22, 757-70 (1940) [Reprinted in Suppl. Progr. Theor. Phys. 22, 84-97 (1955)].
    • (1940) Proc. Phys. Math. Soc. Japan , vol.22 , pp. 757-770
    • Taketani, M.1    Sakata, S.2
  • 6
    • 0002297549 scopus 로고
    • G. Petiau: Acad. R. Belg. Cl. Sci. Mem. Collect. (8) 16, No. 2 (1936); R. J. Duffin: Phys. Rev. 54, 1114 (1938); N. Kemmer: Proc. Roy. Soc. (London) A173, 91-116 (1939); N. Kemmer: Proc. Camb. Phil. Soc. 39, 189-96 (1943); M. Taketani and S. Sakata: Proc. Phys. Math. Soc. Japan 22, 757-70 (1940) [Reprinted in Suppl. Progr. Theor. Phys. 22, 84-97 (1955)].
    • (1955) Suppl. Progr. Theor. Phys. , vol.22 , pp. 84-97
  • 8
    • 0004210359 scopus 로고
    • North-Holland, Amsterdam
    • H. Umezawa: Quantum Field Theory, North-Holland, Amsterdam 1956; P. Roman: Theory of Elementary Particles, North-Holland, Amsterdam 1964.
    • (1956) Quantum Field Theory
    • Umezawa, H.1
  • 9
    • 0003863082 scopus 로고
    • North-Holland, Amsterdam
    • H. Umezawa: Quantum Field Theory, North-Holland, Amsterdam 1956; P. Roman: Theory of Elementary Particles, North-Holland, Amsterdam 1964.
    • (1964) Theory of Elementary Particles
    • Roman, P.1
  • 11
    • 0000777871 scopus 로고
    • H. J. Bhabha: Rev. Mod. Phys. 17, 200-16 (1945); H. J. Bhabha: Rev. Mod. Phys. 21, 451-62 (1949).
    • (1945) Rev. Mod. Phys. , vol.17 , pp. 200-216
    • Bhabha, H.J.1
  • 12
    • 0002249932 scopus 로고
    • H. J. Bhabha: Rev. Mod. Phys. 17, 200-16 (1945); H. J. Bhabha: Rev. Mod. Phys. 21, 451-62 (1949).
    • (1949) Rev. Mod. Phys. , vol.21 , pp. 451-462
    • Bhabha, H.J.1
  • 14
    • 0002124711 scopus 로고
    • T. Tsuneto, T. Hirosige and I. Fujiwara: Progr. Theor. Phys. 14, 267-82 (1955); T. Tsuneto and I. Fujiwara: Progr. Theor. Phys. 20, 439-56 (1958).
    • (1958) Progr. Theor. Phys. , vol.20 , pp. 439-456
    • Tsuneto, T.1    Fujiwara, I.2
  • 17
    • 4243768094 scopus 로고
    • A. A. Bogush and L. F. Zhirkov: Vesti Acad. Sci. Belarus SSR, Ser. Phys-Math., No. 5,51 (1977) (in Russian); S. Okubo and Y. Tosa: Phys. Rev. D 20, 462-73 (1979).
    • (1979) Phys. Rev. D , vol.20 , pp. 462-473
    • Okubo, S.1    Tosa, Y.2
  • 18
    • 0002101315 scopus 로고
    • Universal matrix form of first order relativistic wave equations and generalized kronecker symbols
    • Preprint No. 192, Minsk 53 pp.Also see: A. A. Bogush: Rep. Math. Phys. 25, 27-42 (1988)
    • A. A. Bogush and F. I. Fedorov: Universal matrix form of first order relativistic wave equations and generalized kronecker symbols, Preprint No. 192, Inst. of Physics of the Belarus SSR Acad. Sci., Minsk (1980), 53 pp. Also see: A. A. Bogush: Rep. Math. Phys. 25, 27-42 (1988).
    • (1980) Inst. of Physics of the Belarus SSR Acad. Sci.
    • Bogush, A.A.1    Fedorov, F.I.2
  • 19
    • 0002040090 scopus 로고
    • A. Lichnerowicz: Bull. Soc. Math. France 92, 11-100 (1964); V. M. Red'kov: Generally Relativistic Duffin-Kemmer Formalism and Behavior of Quantum-Mechanical Particle of Spin 1 in the Abelian Monopole Field, quant-ph/9812007; J. T. Lunardi, B. M. Pimentel and R. G. Texeira: Duffin-Kemmer-Petiau Equation in Riemannian Space-Times, gr-qc/9909033.
    • (1964) Bull. Soc. Math. France , vol.92 , pp. 11-100
    • Lichnerowicz, A.1
  • 23
    • 0000850969 scopus 로고
    • Harish-Chandra: Proc. Roy. Soc. A 186, 502-25 (1946); Harish-Chandra: Proc. Cambr. Phil. Soc. 43, 414-21 (1947); Also see: I. Fujiwara: Progr. Theor. Phys. 10, 589-616 (1953).
    • (1946) Proc. Roy. Soc. A , vol.186 , pp. 502-525
    • Harish-Chandra1
  • 24
    • 0002249939 scopus 로고
    • Harish-Chandra: Proc. Roy. Soc. A 186, 502-25 (1946); Harish-Chandra: Proc. Cambr. Phil. Soc. 43, 414-21 (1947); Also see: I. Fujiwara: Progr. Theor. Phys. 10, 589-616 (1953).
    • (1947) Proc. Cambr. Phil. Soc. , vol.43 , pp. 414-421
    • Harish-Chandra1
  • 25
    • 0002246847 scopus 로고
    • Harish-Chandra: Proc. Roy. Soc. A 186, 502-25 (1946); Harish-Chandra: Proc. Cambr. Phil. Soc. 43, 414-21 (1947); Also see: I. Fujiwara: Progr. Theor. Phys. 10, 589-616 (1953).
    • (1953) Progr. Theor. Phys. , vol.10 , pp. 589-616
    • Fujiwara, I.1
  • 28
    • 0031993512 scopus 로고    scopus 로고
    • hep-th/9709229
    • I. V. Kanatchikov: Rep. Math. Phys. 41, 49-90 (1998), hep-th/9709229; I. V. Kanatchikov: Rep. Math. Phys. 40, 225-34 (1997), hep-th/9710069.
    • (1998) Rep. Math. Phys. , vol.41 , pp. 49-90
    • Kanatchikov, I.V.1
  • 29
    • 0031256825 scopus 로고    scopus 로고
    • hep-th/9710069
    • I. V. Kanatchikov: Rep. Math. Phys. 41, 49-90 (1998), hep-th/9709229; I. V. Kanatchikov: Rep. Math. Phys. 40, 225-34 (1997), hep-th/9710069.
    • (1997) Rep. Math. Phys. , vol.40 , pp. 225-234
    • Kanatchikov, I.V.1
  • 30
    • 0003542367 scopus 로고
    • Gauthier-Villars, Paris
    • Th. De Donder: Theorie Invariantive du Calcul des Variations, Gauthier-Villars, Paris 1935; H. Weyl: Ann. Math. (2) 36, 607-29 (1935);Also see: H. Rund: The Hamilton-Jacobi Theory in the Calculus of Variations, D. vanNostrand, Toronto 1966.
    • (1935) Theorie Invariantive du Calcul des Variations
    • De Donder, T.1
  • 31
    • 0001376821 scopus 로고
    • Th. De Donder: Theorie Invariantive Du Calcul Des Variations, Gauthier-Villars, Paris1935; H. Weyl: Ann. Math. (2) 36, 607-29 (1935); Also see: H. Rund: The Hamilton-Jacobi Theory in the Calculus of Variations, D. van Nostrand, Toronto 1966.
    • (1935) Ann. Math. , vol.36 , Issue.2 , pp. 607-629
    • Weyl, H.1
  • 32
    • 0003682620 scopus 로고
    • D. van Nostrand, Toronto
    • Th. De Donder: Theorie Invariantive Du Calcul Des Variations, Gauthier-Villars, Paris1935; H. Weyl: Ann. Math. (2) 36, 607-29 (1935); Also see: H. Rund: The Hamilton-Jacobi Theory in the Calculus of Variations, D. van Nostrand, Toronto 1966.
    • (1966) The Hamilton-Jacobi Theory in the Calculus of Variations
    • Rund, H.1
  • 35
    • 0042137401 scopus 로고    scopus 로고
    • T. J. Bridges: Math. Proc. Camb. Phil. Soc. 121, 147-90 (1997); Also see: J. E. Marsden and S. Shkoller: ibid. 125, 553-575 (1999), math/9807086.
    • (1997) Math. Proc. Camb. Phil. Soc. , vol.121 , pp. 147-190
    • Bridges, T.J.1
  • 38
    • 51249174389 scopus 로고
    • V. Tapia: Nuovo Cim. 102B, 123-30 (1988).
    • (1988) Nuovo Cim. , vol.102 B , pp. 123-130
    • Tapia, V.1
  • 40
    • 0033074624 scopus 로고    scopus 로고
    • hep-th/9810165
    • I. V. Kanatchikov: Rep. Math. Phys. 43, 157-70 (1999), hep-th/9810165; I. V. Kanatchikov: On quantization of field theories in polymomentum variables, in: Particles, Fields and Gravitation (Proc. Int. Conf. Devoted to the Memory of Prof. R. Ra̧czka, Lódź, Poland, Apr. 1998) ed. J. Rembieliński, AIP Conf. Proc. 453, 356-67 (1998),hep-th/9811016.
    • (1999) Rep. Math. Phys. , vol.43 , pp. 157-170
    • Kanatchikov, I.V.1
  • 41
    • 0033074624 scopus 로고    scopus 로고
    • On quantization of field theories in polymomentum variables
    • Particles, Fields and Gravitation (Proc. Int. Conf. Devoted to the Memory of Prof. R. Ra̧czka, Lódź, Poland, Apr. 1998) ed. J. Rembieliński, hep-th/9811016
    • I. V. Kanatchikov: Rep. Math. Phys. 43, 157-70 (1999), hep-th/9810165; I. V. Kanatchikov: On quantization of field theories in polymomentum variables, in: Particles, Fields and Gravitation (Proc. Int. Conf. Devoted to the Memory of Prof. R. Ra̧czka, Lódź, Poland, Apr. 1998) ed. J. Rembieliński, AIP Conf. Proc. 453, 356-67 (1998), hep-th/9811016.
    • (1998) AIP Conf. Proc. , vol.453 , pp. 356-367
    • Kanatchikov, I.V.1


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