Exotic Galilean symmetry in the non-commutative plane and the hall effect

Journal of Physics A: Mathematical and General

Volumn 34, Issue 47, 2001, Pages 10097-10107

  Duval, C ^a   Horvathy P A ^b  

^a CNRS   (France)

^b UNIVERSITÉ DE TOURS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035976846     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/47/314     Document Type: Article

References (38)

1. Bigatti D and Susskind L 2000 Phys. Rev. D 62 066004
2. Gamboa J, Loewe M and Rojas J C 2000 Preprint hep-th/0010220
3. Chaichian M, Sheikh-Jabbari M M and Tureanu A 2001 Phys. Rev. Lett. 86 2716
4. Nair V P 2001 Phys. Lett B 505 249
5. Nair V P and Polychronakos A P 2001 Phys. Lett. B 505 267
6. Duval C and Horváthy P A 2000 Phys. Lett. B 479 284
7. (Duval C and Horváthy P A 2000 Preprint hep-th/0002233)
8. Duval C, Horváth Z and Horváthy P A 2001 Int. J. Mod. Phys. B 15 3397
9. (Duval C, Horváth Z and Horváthy P A 2001 Preprint cond-mat/0101449)
10. Lévy-Leblond J-M 1972 Group Theory and Applications vol 2, ed Loebl (New York: Academic) p 222
11. Ballesteros A, Gadella N and del Olmo M 1992 J. Math. Phys. 33 3379
12. Brihaye Y, Gonera C, Giller S and Kosiński P 1995 Preprint hep-th/9503046
13. Grigore D R 1996 J. Math. Phys. 37 240 and 460
14. Lukierski J, Stichel P C and Zakrzewski W J 1997 Ann. Phys. NY 260 224
15. Laughlin R B 1983 Phys. Rev. Lett. 50 1395
16. On the quantum Hall effect see, e.g.,
17. Morandi G 1988 Quantum Hall Effect (Napoli: Bibliopolis)
18. Stone M (ed) 1992 Quantum Hall Effect (Singapore: World Scientific)
19. Girvin S M 1998 The Quantum Hall Effect: New Excitations and Broken Symmetries (Les Hauches Lectures)
20. Faddeev L and Jackiw R 1988 Phys. Rev. Lett. 60 1692
21. Dunne G, Jackiw R and Trugenberger C A 1990 Phys. Rev. D 41 661
22. Dunne G and Jackiw R 1993 Nucl. Phys. B (Proc. Suppl.) 33C 114
23. Iso S, Karabali D and Sakita B 1992 Phys. Lett. B 296 143
24. Cappelli A, Trugenberger C A and Zemba G R 1993 Nucl. Phys. B 396 465
25. Cappelli A, Dunne G V, Trugenberger C A and Zemba G R 1993 Nucl. Phys. B (Proc. Suppl). 33C 21
26. Martinez J and Stone M 1993 Int. J. Mod. Phys. B 26 4389
27. Souriau J-M 1970 Structure des Systémes Dynamiques (Paris: Dunod)
28. Souriau J-M 1997 Structure of Dynamical Systems, a Symplectic View of Physics (Dordrecht: Birkhäuser)
29. The variational one-form has been introduced by Cartan E 1922 Leçons sur les Invariants Intégraux (Paris: Hermann)
30. Simms D J and Woodhouse N M J 1976 Lectures on Geometric quantization (Springer Lectures Notes in Physics vol 53)
31. Woodhouse NMJ 1992 Geometric Quantization 2nd ed (New York: Oxford University Press)
32. Girvin S and Jach T 1984 Phys. Rev. B 29 5617
33. Dünne G 1992 Ann. Phys. 215 233
34. Guralnik Z, Jackiw R, Pi S Y and Polychronakos A P 2001 Phys. Lett. B 517 450
35. (Guralnik Z, Jackiw R, Pi S Y and Polychronakos A P 2001 Preprint hep-th/0106044)
36. Bellucci S, Neressian A and Sochichiu C 2001 Preprint hep-th/0106138
37. See also Sochichiu C 2000 Preprint hep-th/0010149
38. Acatrinei C 2001 Preprint hep-th/0106141