Quantum fluctuations in quantum lattice systems with continuous symmetry

Journal of Statistical Physics

Volumn 85, Issue 1-2, 1996, Pages 193-210

  Momoi, Tsutomu ^a  

^a UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

Clustering; Ground states; Quantum fluctuations; Symmetry breaking; Uncertainty relation

Indexed keywords

EID: 0030495762     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02175562     Document Type: Article

References (31)

1. N. D. Mermin and H. Wagner, Phys. Rev. Lett. 17:1133 (1966).
2. P. C. Hohenberg, Phys. Rev. 158:383 (1967).
3. R. L. Dobrushin and S. B. Shlosman, Commun. Math. Phys. 42:31 (1975).
4. C.-E. Pfister, Commun. Math. Phys. 79:181 (1981).
5. J. Fröhlich and C.-E. Pfister, Commun. Math. Phys. 81:277 (1981).
6. A. Klein, L. J. Landau, and D. S. Shucker, J. Stat. Phys. 26:505 (1981).
7. P. A. Martin, Nuovo Cimento 68:302 (1982).
8. C. A. Bonato, J. F. Perez, and A. Klein, J. Stat. Phys. 29:159 (1982).
9. S. Takada, Prog. Theor. Phys. 54:1039 (1975).
10. L. Pitaevskii and S. Stringari, J. Low. Temp. Phys. 85:377 (1991).
11. B. S. Shastry, J. Phys. A: Math. Gen. 25:L249 (1992).
12. F. J. Dyson, E. H. Lieb, and B. Simon, J. Stat. Phys. 18:335 (1978).
13. L. Landau, J. F. Perez, and W. F. Wreszinski, J. Stat. Phys. 26:755 (1981).
14. T. Koma and H. Tasaki, J. Stat. Phys. 76:745 (1994).
15. W. Marshall, Proc. R. Soc. A 232:48 (1955).
16. E. H. Lieb and D. Mattis, J. Math. Phys. 3:749 (1962).
17. T. Kennedy, E. H. Lieb, and B. S. Shastry, J. Stat. Phys. 53:1019 (1988).
18. D. Ruelle, Statistical Mechanics: Rigorous Results (Benjamin, Reading, Massachusetts, 1969).
19. O. Bratteli and D. W. Robinson, Operator Algebras in Quantum Statistical Mechanics I, II (Springer, New York, 1979).
20. S.-Q. Shen and Z.-M. Qiu, Phys. Rev. Lett. 72:1280 (1994).
21. F. H. L. Essler, V. E. Korepin, and K. Schoutens, Phys. Rev. Lett. 68:2960 (1992); 70:73 (1993).
22. F. H. L. Essler, V. E. Korepin, and K. Schoutens, Phys. Rev. Lett. 68:2960 (1992); 70:73 (1993).
23. E. J. Neves and J. F. Perez, Phys. Lett. A 114:331 (1986).
24. T. Koma and H. Tasaki, Phys. Rev. Lett. 70:93 (1993): Commun. Math. Phys. 158:191 (1993).
25. T. Koma and H. Tasaki, Phys. Rev. Lett. 70:93 (1993): Commun. Math. Phys. 158:191 (1993).
26. T. Kennedy, E. H. Lieb, and B. S. Shastry, Phys. Rev. Lett. 61:2582 (1988).
27. K. Kubo and T. Kishi, Phys. Rev. Lett. 61:2585 (1988).
28. H. Nishimori and Y. Ozeki, J. Phys. Soc. Jpn. 58:1027 (1989).
29. T. Momoi, J. Phys. Soc. Jpn. 63:2507 (1994).
30. S. Stringari, Phys. Rev. B 49:6710 (1994).
31. T. Momoi, Phys. Lett. A 201:261 (1995).