Gauging kinematical and internal symmetry groups for extended systems: The Galilean one-time and two-times harmonic oscillators

Classical and Quantum Gravity

Volumn 13, Issue 6, 1996, Pages 1417-1450

  De Pietri, R ^a,b   Lusanna, L ^c   Pauri, M ^a,b,d  

^a UNIVERSITY OF PARMA   (Italy)

^b INFN SEZIONE DI MILANO   (Italy)

^c INFN SEZIONE DI FIRENZE   (Italy)

^d UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344454422     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/13/6/013     Document Type: Article

References (22)

1. De Pietri R, Lusanna L and Pauri M 1995 Standard and generalized Newtonian gravities as 'gauge' theories of the extended Galilei group: I. The standard theory Class. Quantum Grav. 12 219
2. Utiyama R 1956 Invariant theoretical interpretation of interactions Phys. Rev. 101 1597
3. Barducci A, Casalbuoni B and Lusanna L 1977 Classical spinning particles interacting with Yang-Mills fields Nucl. Phys. B 124 93
4. Longhi G and Lusanna L 1989 On the many-time formulation of classical particle dynamics J. Math. Phys. 30 1893
5. Pohlmeyer K 1982 A group-theoretical approach to the quantization of the free relativistic closed string Phys. Lett. 119B 100
6. Pohlmeyer K and Rehren K H 1986 Algebraic properties of the invariant charges of the Nambu-Goto theory Commun. Math. Phys. 105 593
7. Pauri M and Prosperi G M 1966 Canonical realizations of Lie symmetry groups J. Math. Phys. 7 366;
8. 1968 Canonical realizations of the Galilei group J. Math. Phys. 9 1146
9. De Pietri R and Pauri M 1996 A peculiar class of canonical realizations of the U(3) group, in preparation
10. Droz-Vincent Ph 1969 Lett. Nuovo Cimento 1 839;
11. Droz-Vincent Ph 1973 Lett. Nuovo Cimento 7 206;
12. 1970 Phys. Scr. 2 129;
13. 1975 Rep. Math. Phys. 8 79;
14. 1977 Ann. Inst. H Poincaré 27 407;
15. 1979 Phys. Rev. D 19 702
16. Todorov I T 1976 Dubna preprint JINR E2-10125 (unpublished);
17. 1978 Ann. Inst. H Poincaré A 28 207
18. Rizov V A, Sazdjian H and Todorov I T 1985 Ann. Phys., NY 165 59
19. Komar A 1978 Phys. Rev. D 18 1881, 1887, 3017
20. Droz-Vincent Ph and Nurowsky P 1990 Symmetries in predictive relativstic mechanics J. Math. Phys. 31 2393
21. Pohlmeyer K and Rehren K H 1986 Algebraic properties of the invariant charges of the Nambu-Goto theory Commun. Math. Phys. 105 593
22. Colomo F, Longhi G and Lusanna L 1992 Int. J. Mod. Phys. A7 1705, 4107