Bethe ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions

Journal of Physics A: Mathematical and General

Volumn 39, Issue 5, 2006, Pages 1073-1098

  Oelkers, N ^a   Batchelor, M T ^a   Bortz, M ^a   Guan, X W ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31144472646     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/39/5/005     Document Type: Article

References (48)

1. Lieb E and Liniger W 1963 Phys. Rev. 130 1605
2. Yang C N and Yang C P 1969 J. Math. Phys. 10 1115
3. Girardeau M 1960 J. Math. Phys. 1 516
4. McGuire J B 1964 J. Math. Phys. 5 622
5. Gaudin M 1967 Phys. Lett. A 24 55
6. Yang C N 1967 Phys. Rev. Lett. 19 1312
7. Sutherland B 1968 Phys. Rev. Lett. 20 98
8. Gaudin M 1971 Phys. Rev. A 4 386
9. Cheon T and Shigehara T 1999 Phys. Rev. Lett. 82 2536
10. Grosse H, Langmann E and Paufler C 2004 J. Phys. A: Math. Gen. 37 4579
11. Hallnäs M and Langman E 2005 J. Math. Phys. 46 052101
12. Lai C K and Yang C N 1971 Phys. Rev. A 3 393
13. Imambekov A and Demler E 2005 Preprint cond-mat/0505632
14. Batchelor M T, Bortz M, Guan X-W and Oelkers N 2005 Phys. Rev. A 72 061603 (R)
15. Frahm H and Palacios G 2005 Phys. Rev. A 72 061604 (R)
16. Imambekov A and Demler E 2005 Preprint cond-mat/05010801
17. Zhou Y K 1988 J. Phys. A: Math. Gen. 21 2399
18. Gaudin M 1983 La fonction d'onde de Bethe (Paris: Masson)
19. Ma Z-Q 1993 Yang-Baxter Equation and Quantum Enveloping Algebras (Singapore: World Scientific)
20. Korepin V E, Bogoliubov N M and Izergin A G 1993 Quantum Inverse Scattering Method and Correlation Functions (Cambridge: Cambridge University Press)
21. Mattis D C 1993 The Many Body Problem (Singapore: World Scientifc) chapters 4 and 5
22. Takahashi M 1999 Thermodynamics of One-Dimensional Solvable Models (Cambridge: Cambridge University Press)
23. Sutherland B 2004 Beautiful Models (Singapore: World Scientific)
24. Schlottman P 1997 Int. J. Mod. Phys. 11 355
25. Li Y-Q, Gu S-J, Ying Z-J and Eckern U 2003 Eur. Phys. Lett. 61 368
26. Zhang Q-L, Gu S J and Li Y-Q 2004 Eur. Phys. J. B 40 191
27. Li Y-Q, Gu S-J and Ying Z-J 2003 J. Phys. A: Math. Gen. 36 2821
28. Gu S-J, Li Y-Q and Ying Z-J 2001 J. Phys. A: Math. Gen. 34 8995
29. Tsujimoto K et al 2000 Phys. Lett. A 277 123
30. Shirai T et al 2002 Surf. Sci. 514 95
31. Li Y-Q and Dai J-H 1996 Phys. Rev. A 53 3743
32. Woynarovich F 1985 Phys. Lett. A 108A 401
33. Fujimoto S and Kawakami N 1996 Phys. Rev. B 54 5784
34. Schulz H 1985 J. Phys. C: Solid State Phys. 18 581
35. Essler F H L, Frahm H, Göhmann F, Klümper A and Korepin V E 2005 The One-Dimensional Hubbard Model (Cambridge: Cambridge University Press)
36. Batchelor M T, Guan X-W, Oelkers and Lee C 2005 J. Phys. A: Math. Gen. 38 7787
37. Batchelor M T, Guan X-W and McGuire J B 2004 J. Phys. A: Math. Gen. 37 L497
38. Batchelor M T, Bortz M, Guan X-W and Oelkers N 2005 J. Stat. Mech. L10001
39. Batchelor M T, Bortz M, Guan X-W and Oelkers N 2005 Preprint cond-mat/0506264
40. Alcaraz F C, Barber M N, Batchelor M T, Baxter R J and Quispel G R W 1987 J. Phys. A: Math. Gen. 20 6397
41. Bortz M and Sirker J 2005 J. Phys. A: Math. Gen. 38 5957
42. Flugge S 1971 Practical Quantum Mechanics (New York: Springer)
43. Sklyanin E K 1988 J. Phys. A: Math. Gen. 21 2375
44. de Vega H J and González-Ruiz A 1994 Nucl. Phys. B 417 553
45. Iida T and Wadati M 2005 J. Phys. Soc. Japan 24 1724 and references therein
46. Bortz M and Sirker J 2005 in preparation
47. Mezincescu L and Nepomechie R I 1992 Nucl. Phys. B 372 597
48. Yung C M and Batchelor M T 1995 Nucl. Phys. B 435 430