Exact solution of a 1D quantum many-body system with momentum-dependent interactions

Journal of Physics A: Mathematical and General

Volumn 37, Issue 16, 2004, Pages 4579-4592

  Grosse, Harald ^a   Langmann, Edwin ^b   Paufler, Cornelius ^b  

^a UNIVERSITY OF VIENNA   (Austria)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442488909     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/16/008     Document Type: Article

References (20)

1. Lieb E H and Liniger W 1963 Exact analysis of an interacting Bose gas: I. The general solution and the ground state Phys. Rev. 130 1605
2. Korepin V E, Bogoliubov N M and Izergin A G 1993 Quantum Inverse Scattering Method and Correlation Functions (Cambridge: Cambridge University Press)
3. Yang C N 1967 Some exact results for the many-body problem in one dimension with repulsive delta-function interaction Phys. Rev. Lett. 19 1312
4. Sutherland B 1968 Further results for the many-body problem in one dimension Phys. Rev. Lett. 20 98
5. Olshanii M 1998 Atomic scattering in the presence of an external confinement and a gas of impenetrable bosons Phys. Rev. Lett. 81 938
6. Gaudin M 1967 Un systeme a une dimension de fermions en interaction Phys. Lett. 24A 55
7. Flicker M and Lieb E H 1967 Delta-function fermi gas with two-spin deviates Phys. Rev. 161 179
8. Thirring W E 1958 A soluble relativistic field theory Ann. Phys., NY 3 91
9. Cheon T and Shigehara T 1999 Fermion-boson duality of one-dimensional quantum particles with generalized contact interactions Phys. Rev. Lett. 82 2536
10. Coleman S 1975 Quantum sine-Gordon equation as the massive Thirring model Phys. Rev. D 11 2088
11. Bergknoff H and Thacker H B 1979 Structure and solution of the massive Thirring model Phys. Rev. D 19 3666
12. Smirnov F A 1992 Form Factors in Completely Integrable Models of Quantum Field Theory (Advanced Series in Mathematical Physics vol 14) (Singapore: World Scientific)
13. Foldy L L and Wouthuysen S A 1950 On the Dirac theory of spin 1/2 particles and its non-relativistic limit Phys. Rev. 78 29
14. Gesztesy F, Thaller B and Grosse H 1983 Efficient method for calculating relativistic corrections for spin-1/2 particles Phys. Rev. Lett. 50 625
15. Gaudin M 1983 La fonction d'onde de Bethe (Paris: Masson)
16. Hamermesh M 1962 Group Theory and its Application to Physical Problems (Addison-Wesley, MA: Reading)
17. Chang Z 1995 Quantum groups and quantum symmetry Phys. Rep. 262 137 (Preprint hep-th/9508170)
18. Yang C N and Yang C P 1969 Thermodynamics of one-dimensional system of bosons with repulsive delta function interaction J. Math. Phys. 10 1115
19. Albeverio S, Gesztesy F, Høegh-Krohn R and Holden H 1988 Solvable Models in Quantum Mechanics (Heidelberg: Springer)
20. Seba P 1986 Some remarks on the δ′-interaction in one dimension Rep. Math. Phys. 24 111