Equations of motion for a spectrum-generating algebra: Lipkin-Meshkov-Glick model

Journal of Physics A: Mathematical and Theoretical

Volumn 41, Issue 2, 2008, Pages

  Rosensteel, G ^a   Rowe, D J ^b   Ho, S Y ^b  

^a Tulane University   (United States)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38749097749     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/2/025208     Document Type: Article

References (62)

1. Dothan Y, Gell-Mann Y and Ne'eman Y 1965 Phys. Lett. 17 148
2. Joseph A 1974 Commun. Math. Phys. 36 325
3. Bohm A, Ne'eman Y and Barut A O 1988 Dynamical Groups and Spectrum Generating Algebras (Singapore: World Scientific)
4. Bethe H 1931 Z. Phys. 71 205
5. Links Jon, Zhou Huan-Qiang, McKenzie Ross H and Gould Mark D 2003 J. Phys. A: Math. Gen. 36 R63
6. Ushveridze A G 1994 Quasi-Exactly Solvable Models in Quantum Mechanics (Bristol: Institute of Physics)
7. Alhassid Y and Leviatan A 1992 J. Phys. A: Math. Gen. 25 L1265
8. Leviatan A 1996 Phys. Rev. Lett. 77 818
9. Rosensteel G 1990 Phys. Rev. C 41 730
10. Rosensteel G and Rowe D J 2003 Phys. Rev. C 67 014303
11. Rosensteel G and Rowe D J 2005 Nucl. Phys. A 759 92 and references therein
12. Rowe D J 1968 Rev. Mod. Phys. 40 153
13. Rowe D J 1970 Nuclear Collective Motion (London: Methuen) chapter 13
14. Kerman A K and Klein A 1963 Phys. Rev. 132 1326
15. Li C-T, Klein A and Krejs F 1975 Phys. Rev. D 12 2311
16. Klein A and Protopapas P 1997 Contemporary Nuclear Shell Models ed X-W Pan, D H Feng and M Vallieres (Berlin: Springer) p 201
17. Ho S Y, Rosensteel G and Rowe D J 2007 Phys. Rev. Lett. 080401
18. Lipkin H J, Meshkov N and Glick A J 1965 Nucl. Phys. A 62 188
19. Meshkov N, Glick A J and Lipkin H J 1965 Nucl. Phys. A 62 199
20. Glick A J, Lipkin H J and Meshkov N 1965 Nucl. Phys. A 62 211
21. Parikh J C and Rowe D J 1968 Phys. Rev. 175 1293
22. Takahara S, Tohyama M and Schuck P 2004 Phys. Rev. C 71 057307
23. Harada Minoru 1972 Phys. Rev. C 7 1724
24. Abraham K J and Vary J P 2004 Phys. Rev. C 70 054310
25. Castãos O, López-Pẽa R and Hirsch J G 2006 Phys. Rev. B 74 104118
26. Severyukhin A P, Bender M and Heenan P-H 2006 Phys. Rev. C 74 024311
27. Cui H T, Li K and Yi X X 2006 Phys. Lett. A 360 243
28. Cirac J I, Lewenstein M, Molmer K and Zoller P 1998 Phys. Rev. A 57 1208
29. Botet R, Jullien R and Pfeuty P 1982 Phys. Rev. Lett. 49 478
30. Heiss W D 2006 J. Phys. A: Math. Gen. 39 10081
31. Vidal J, Palacios G and Mosseri R 2004 Phys. Rev. A 69 022107
32. Vidal J, Mosseri R and Dukelsky J 2004 Phys. Rev. A 69 054101
33. Unanyan R G, Ionescu C and Fleischhauer M 2005 Phys. Rev. A 72 022326
34. Latorre J I, Ors R, Rico E and Vidal J 2005 Phys. Rev. A 71 064101
35. Pan F and Draayer J P 1999 Phys. Lett. B 451 1
36. Dukelsky J and Pittel S 2001 Phys. Rev. Lett. 86 4791
37. Richardson R W and Sherman N 1964 Nucl. Phys. 52 221
38. Dukelsky J, Pittel S and Sierra G 2004 Rev. Mod. Phys. 36 R63
39. Cejnar P, Heinze S and Jolie J 2003 Phys. Rev. C 68 034326
40. Dusuel S and Vidal J 2004 Phys. Rev. Lett. 93 237204
41. Dusuel S and Vidal J 2005 Phys. Rev. A 71 060304
42. Dusuel S and Vidal J 2005 Phys. Rev. B 71 224220
43. Leyvraz F and Heiss W D 2005 Phys. Rev. Lett. 95 050402
44. Rowe D J, Turner P S and Rosensteel G 2004 Phys. Rev. Lett. 93 232502
45. Dusuel S, Vidal J, Arias J M, Dukelsky J and Garcia-Ramos J E 2005 Phys. Rev. C 72 011301
46. Hellemans V, Van Isacker P, De Baerdemacker S and Heyde K 2007 Nucl. Phys. A 789 164
47. Wilson K G 1975 Rev. Mod. Phys. 47 773
48. Sachdev S 1999 Quantum Phase Transitions (Cambridge: Cambridge University Press)
49. Iachello F 2003 Quantum Phase Transitions in Nuclei and Other Systems Proc. Int. School of Physics 'Enrico Fermi' Course CLIII ed A Molinari, L Riccati, W M Alberico and M Morando (Amsterdam: IOS Press)
50. Vojta M 2003 Rep. Prog. Phys. 66 2069
51. Rowe D J 2004 Phys. Rev. Lett. 93 122502
52. Rowe D J 2004 Nucl. Phys. A 745 47
53. Turner P S and Rowe D J 2005 Nucl. Phys. A 756 333
54. Frank A, van Isacker P and Iachello F 2006 Phys. Rev. C 73 061302
55. Yépez-Martinez H, Cseh J and Hess P O 2006 Phys. Rev. C 74 024319
56. Leviatan A 2006 Phys. Rev. C 74 051301
57. Cejnar P, Heinze S and Marcek M 2007 Phys. Rev. Lett. 99 100601
58. Nikic T, Vretenar G, Lalazissis A and Ring P 2007 Phys. Rev. Lett. 99 092502
59. Caprio M A, Cejnar P and Iachello F 2007 Ann. Phys. at press
60. Dyson F 1956 Phys. Rev. 102 1217
61. Chen H, Brownstein J R and Rowe D J 1990 Phys. Rev. C 42 1422
62. Rowe D J 2004 Nucl. Phys. A 745 47