Dynamics of the Hubbard model: A general approach by the time-dependent variational principle

Physical Review B - Condensed Matter and Materials Physics

Volumn 55, Issue 13, 1997, Pages 8226-8239

  Montorsi, Arianna ^a   Penna, Vittorio ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000152940     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.55.8226     Document Type: Article

References (29)

1. R.A. Broglia, A. Molinari and T. Regge, Ann. Phys. 109, 349 (1977).
2. A.M. Perelomov, Generalized Coherent States and their Applications (Springer-Verlag, Berlin, 1986).
3. W.M. Zhang, D.H. Feng and R. Gilmore, Rev. Mod. Phys. 62, 867 (1990).
4. T. Fukui and Y. Tsue, Prog. Theor. Phys. 87, 627 (1992).
5. H.B. Braun and D. Loss, Phys. Rev. B 53, 3237 (1996).
6. D.R. Tilley and J. Tilley, Superfluidity and Superconductivity (Adam Hilger, Bristol, 1986).
7. J.R. Hook and H.E. Hall, Solid State Physics (Wiley, Chichester, 1991).
8. J. Hubbard, Proc. R. Soc. London Ser. A 276, 238 (1963).
9. J. Hubbard, Proc. R. Soc. London Ser. A 277, 237 (1964).
10. M.C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963).
11. A. Shapere and F. Wilczek, Geometric Phases in Physics (World Scientific, Singapore, 1992).
12. Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58, 1593 (1987).
13. M.V. Berry, Proc. R. Soc. London Ser. A 392, 45 (1984).
14. A. Montorsi and V. Penna (unpublished).
15. The Hubbard Model: A Reprint Volume, edited by A. Montorsi (World Scientific, Singapore, 1993).
16. E. H. Lieb, in Proceedings of the XIth International Congress of Mathematical Physics, edited by D. Iagolnitzer (International, Diderot, 1995).
17. E.H. Lieb and F.Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).
18. J.E. Hirsch, Phys. Rev. B 31, 4403 (1985).
19. R. Livi, A. Montorsi and M. Rasetti, Mod. Phys. Lett. B 6, 151 (1992).
20. D.K. Arrowsmith and C.M. Place, An Introduction to Dynamical Systems (Cambridge University Press, Cambridge, 1990).
21. H. Sakaguchi and Y. Kuramoto, Prog. Theor. Phys. 76, 576 (1986).
22. Y. Kuramoto, Prog. Theor. Phys. 79, 223 (1984).
23. A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1962).
24. L.L. Bonilla and F. Guinea, Phys. Rev. 45, 7718 (1992).
25. L. Bonci, R. Roncaglia, B.J. West and P. Grigolini, Phys. Rev. 45, 8490 (1992).
26. V. Penna and M. Rasetti, Phys. Rev. B 50, 11 783 (1994).
27. H.T. Davis, Introduction to Nonlinear Differential and Integral Equations (Dover, New York, 1970).
28. Handbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun (Dover, New York, 1972).
29. M.C. Gutzwiller, Phys. Rev. 137, A1726 (1965).