Galilean covariance and the Duffin-Kemmer-Petiau equation

Journal of Physics A: Mathematical and General

Volumn 33, Issue 31, 2000, Pages

  De Montigny, M ^a   Khanna, F C ^a,b   Santana, A E ^a,c   Santos, E S ^d   Vianna, J D M ^c,e  

^a UNIVERSITY OF ALBERTA   (Canada)

^b TRIUMF   (Canada)

^c FEDERAL UNIVERSITY OF BAHIA   (Brazil)

^d SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

^e UNIVERSITY OF BRASILIA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034636930     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/31/102     Document Type: Article

References (17)

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2. Takahashi Y 1988 Towards the many-body theory with the Galilei invariance as a guide. I Fortschr. Phys. 36 63-81 Takahashi Y 1988 Towards the many-body theory with the Galilei invariance as a guide. II Fortschr. Phys. 36 83-96
3. Omote M, Kamefuchi S, Takahashi Y and Ohnuki Y 1989 Galilean covariance and the Schrödinger equation Fortschr. Phys. 12 933-50
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6. de Montigny M, Khanna F C, Santana A E, Santos E S and Vianna JDM 1999 Poincaré gauge theory and Galilean covariance Ann. Phys., NY 277 144-58
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8. Petiau G 1936 Contribution à la théorie des équations d'ondes corpusculaires Acad. R. Belg. Cl. Sc. Mem. Collect. 16 (complete volume) Duffin R J 1939 On the characteristic matrices of covariant systems Phys. Rep. 54 1114 Kemmer N 1938 Quantum theory of Einstein-Bose particles and nuclear interaction Proc. R. Soc. A 166 127-53 Kemmer N 1939 The particle aspect of meson theory Proc. R. Soc. A 173 91-116 Takahashi Y 1969 An Introduction to Field Quantization (Oxford: Pergamon) Corson E M 1955 Introduction to Tensors, Spinors, and Relativistic Wave Equations (London: Blackie) Fischbach E, Louck J D, Nieto M M and Scott C K 1974 The Lie algebra so(N) and the Duffin-Kemmer-Petiau ring J. Math. Phys. 15 60-4 Krajcik R A and Nieto M M 1977 Historical development of the Bhabha first-order relativistic wave equation for arbitrary spin Am. J. Phys. 45 818-22
9. Petiau G 1936 Contribution à la théorie des équations d'ondes corpusculaires Acad. R. Belg. Cl. Sc. Mem. Collect. 16 (complete volume) Duffin R J 1939 On the characteristic matrices of covariant systems Phys. Rep. 54 1114 Kemmer N 1938 Quantum theory of Einstein-Bose particles and nuclear interaction Proc. R. Soc. A 166 127-53 Kemmer N 1939 The particle aspect of meson theory Proc. R. Soc. A 173 91-116 Takahashi Y 1969 An Introduction to Field Quantization (Oxford: Pergamon) Corson E M 1955 Introduction to Tensors, Spinors, and Relativistic Wave Equations (London: Blackie) Fischbach E, Louck J D, Nieto M M and Scott C K 1974 The Lie algebra so(N) and the Duffin-Kemmer-Petiau ring J. Math. Phys. 15 60-4 Krajcik R A and Nieto M M 1977 Historical development of the Bhabha first-order relativistic wave equation for arbitrary spin Am. J. Phys. 45 818-22
10. Petiau G 1936 Contribution à la théorie des équations d'ondes corpusculaires Acad. R. Belg. Cl. Sc. Mem. Collect. 16 (complete volume) Duffin R J 1939 On the characteristic matrices of covariant systems Phys. Rep. 54 1114 Kemmer N 1938 Quantum theory of Einstein-Bose particles and nuclear interaction Proc. R. Soc. A 166 127-53 Kemmer N 1939 The particle aspect of meson theory Proc. R. Soc. A 173 91-116 Takahashi Y 1969 An Introduction to Field Quantization (Oxford: Pergamon) Corson E M 1955 Introduction to Tensors, Spinors, and Relativistic Wave Equations (London: Blackie) Fischbach E, Louck J D, Nieto M M and Scott C K 1974 The Lie algebra so(N) and the Duffin-Kemmer-Petiau ring J. Math. Phys. 15 60-4 Krajcik R A and Nieto M M 1977 Historical development of the Bhabha first-order relativistic wave equation for arbitrary spin Am. J. Phys. 45 818-22
11. Petiau G 1936 Contribution à la théorie des équations d'ondes corpusculaires Acad. R. Belg. Cl. Sc. Mem. Collect. 16 (complete volume) Duffin R J 1939 On the characteristic matrices of covariant systems Phys. Rep. 54 1114 Kemmer N 1938 Quantum theory of Einstein-Bose particles and nuclear interaction Proc. R. Soc. A 166 127-53 Kemmer N 1939 The particle aspect of meson theory Proc. R. Soc. A 173 91-116 Takahashi Y 1969 An Introduction to Field Quantization (Oxford: Pergamon) Corson E M 1955 Introduction to Tensors, Spinors, and Relativistic Wave Equations (London: Blackie) Fischbach E, Louck J D, Nieto M M and Scott C K 1974 The Lie algebra so(N) and the Duffin-Kemmer-Petiau ring J. Math. Phys. 15 60-4 Krajcik R A and Nieto M M 1977 Historical development of the Bhabha first-order relativistic wave equation for arbitrary spin Am. J. Phys. 45 818-22
12. Petiau G 1936 Contribution à la théorie des équations d'ondes corpusculaires Acad. R. Belg. Cl. Sc. Mem. Collect. 16 (complete volume) Duffin R J 1939 On the characteristic matrices of covariant systems Phys. Rep. 54 1114 Kemmer N 1938 Quantum theory of Einstein-Bose particles and nuclear interaction Proc. R. Soc. A 166 127-53 Kemmer N 1939 The particle aspect of meson theory Proc. R. Soc. A 173 91-116 Takahashi Y 1969 An Introduction to Field Quantization (Oxford: Pergamon) Corson E M 1955 Introduction to Tensors, Spinors, and Relativistic Wave Equations (London: Blackie) Fischbach E, Louck J D, Nieto M M and Scott C K 1974 The Lie algebra so(N) and the Duffin-Kemmer-Petiau ring J. Math. Phys. 15 60-4 Krajcik R A and Nieto M M 1977 Historical development of the Bhabha first-order relativistic wave equation for arbitrary spin Am. J. Phys. 45 818-22
13. Petiau G 1936 Contribution à la théorie des équations d'ondes corpusculaires Acad. R. Belg. Cl. Sc. Mem. Collect. 16 (complete volume) Duffin R J 1939 On the characteristic matrices of covariant systems Phys. Rep. 54 1114 Kemmer N 1938 Quantum theory of Einstein-Bose particles and nuclear interaction Proc. R. Soc. A 166 127-53 Kemmer N 1939 The particle aspect of meson theory Proc. R. Soc. A 173 91-116 Takahashi Y 1969 An Introduction to Field Quantization (Oxford: Pergamon) Corson E M 1955 Introduction to Tensors, Spinors, and Relativistic Wave Equations (London: Blackie) Fischbach E, Louck J D, Nieto M M and Scott C K 1974 The Lie algebra so(N) and the Duffin-Kemmer-Petiau ring J. Math. Phys. 15 60-4 Krajcik R A and Nieto M M 1977 Historical development of the Bhabha first-order relativistic wave equation for arbitrary spin Am. J. Phys. 45 818-22
14. Petiau G 1936 Contribution à la théorie des équations d'ondes corpusculaires Acad. R. Belg. Cl. Sc. Mem. Collect. 16 (complete volume) Duffin R J 1939 On the characteristic matrices of covariant systems Phys. Rep. 54 1114 Kemmer N 1938 Quantum theory of Einstein-Bose particles and nuclear interaction Proc. R. Soc. A 166 127-53 Kemmer N 1939 The particle aspect of meson theory Proc. R. Soc. A 173 91-116 Takahashi Y 1969 An Introduction to Field Quantization (Oxford: Pergamon) Corson E M 1955 Introduction to Tensors, Spinors, and Relativistic Wave Equations (London: Blackie) Fischbach E, Louck J D, Nieto M M and Scott C K 1974 The Lie algebra so(N) and the Duffin-Kemmer-Petiau ring J. Math. Phys. 15 60-4 Krajcik R A and Nieto M M 1977 Historical development of the Bhabha first-order relativistic wave equation for arbitrary spin Am. J. Phys. 45 818-22
15. Petiau G 1936 Contribution à la théorie des équations d'ondes corpusculaires Acad. R. Belg. Cl. Sc. Mem. Collect. 16 (complete volume) Duffin R J 1939 On the characteristic matrices of covariant systems Phys. Rep. 54 1114 Kemmer N 1938 Quantum theory of Einstein-Bose particles and nuclear interaction Proc. R. Soc. A 166 127-53 Kemmer N 1939 The particle aspect of meson theory Proc. R. Soc. A 173 91-116 Takahashi Y 1969 An Introduction to Field Quantization (Oxford: Pergamon) Corson E M 1955 Introduction to Tensors, Spinors, and Relativistic Wave Equations (London: Blackie) Fischbach E, Louck J D, Nieto M M and Scott C K 1974 The Lie algebra so(N) and the Duffin-Kemmer-Petiau ring J. Math. Phys. 15 60-4 Krajcik R A and Nieto M M 1977 Historical development of the Bhabha first-order relativistic wave equation for arbitrary spin Am. J. Phys. 45 818-22
16. Fainberg V Ya and Pimentel B M 1999 On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equation Preprint hep-th/9911219
17. Nedjadi Y and Barrett R C 1994 The Duffin-Kemmer-Petiau oscillator J. Phys. A: Math. Gen. 27 4301-15