Quantum phase transitions studied within the interacting boson model

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 6, 2000, Pages 6237-6247

  Cejnar, Pavel ^a   Jolie, Jan ^b  

^a CHARLES UNIVERSITY   (Czech Republic)

^b UNIVERSITY OF FRIBOURG   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

PHASE TRANSITIONS; QUANTUM THEORY; DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; MOLECULAR DYNAMICS; NUCLEAR PHYSICS; PARTIAL DIFFERENTIAL EQUATIONS; SPECTROSCOPIC ANALYSIS;

ALGEBRAIC FRAMEWORK; CLASSICAL POTENTIALS; DYNAMICAL VARIABLES; GEOMETRICAL INTERPRETATION; INTERACTING BOSON MODELS; QUALITATIVE CHANGES; QUANTUM PHASE TRANSITIONS; SPECTROSCOPIC FEATURES;

BOSONS; QUANTUM THEORY;

BOSON MODEL; INTERSYMMETRY TRANSITION; QUANTUM PHASE TRANSITION;

EID: 0034205386     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.6237     Document Type: Article

References (42)

1. D. J. Rowe, Prog. Part. Nucl. Phys. 37, 265 (1996).
2. D. J. Thouless, Nucl. Phys. 22, 78 (1961).
3. E. D. Davis and W. D. Heiss, J. Phys. G 12, 805 (1986).
4. W. D. Heiss, Z. Phys. A 329, 133 (1988)
5. Z. Phys. AW. D. Heiss and A. A. Kotzé, 331, 223 (1988).
6. W. D. Heiss and A. L. Sannino, Phys. Rev. A 43, 4159 (1991)
7. W. D. Heiss, Phys. Rep. 242, 443 (1994).
8. D. H. Feng, R. Gilmore, and S. R. Deans, Phys. Rev. C 23, 1254 (1981).
9. A. E. Dieperink, O. Scholten, and F. Iachello, Phys. Rev. Lett. 44, 1747 (1980).
10. D. J. Rowe, C. Bahri, and W. Wijesundera, Phys. Rev. Lett. 80, 4394 (1998).
11. F. Iachello and A. Arima, The Interacting Boson Model (Cambridge University Press, Cambridge, England, 1987).
12. A. Frank and P. Van Isacker, Algebraic Methods in Molecular and Nuclear Structure Physics (Wiley, New York, 1994).
13. J. Dobeš, Phys. Rev. C 42, 2023 (1990).
14. P. Van Isacker, A. Frank, and J. Dukelsky, Phys. Rev. C 31, 671 (1985).
15. N. Whelan and Y. Alhassid, Nucl. Phys. A 556, 42 (1993).
16. P. Cejnar and J. Jolie, Phys. Lett. B 420, 241 (1998).
17. P. Cejnar and J. Jolie, Phys. Rev. E 58, 387 (1998).
18. J. N. Ginocchio and M. W. Kirson, Nucl. Phys. A 350, 31 (1980).
19. R. L. Hatch and S. Levit, Phys. Rev. C 25, 614 (1982).
20. Y. Alhassid and N. Whelan, Phys. Rev. C 43, 2637 (1991).
21. A. Klein and M. Vallieres, Phys. Rev. Lett. 46, 586 (1981).
22. R. F. Casten, N. V. Zamfir, and D. S. Brenner, Phys. Rev. Lett. 71, 227 (1993).
23. R. F. Casten, D. Kusnezov, and N. V. Zamfir, Phys. Rev. Lett. 82, 5000 (1999).
24. J. Jolie, P. Cejnar, and J. Dobeš, Phys. Rev. C 60, 061303(R) (1999).
25. F. M. Izrailev, Phys. Rep. 196, 299 (1990).
26. V. Zelevinsky, B. A. Brown, N. Frazier, and M. Horoi, Phys. Rep. 276, 85 (1996).
27. V. V. Sokolov, B. A. Brown, and V. Zelevinsky, Phys. Rev. E 58, 56 (1998).
28. M. R. Zirnbauer, J. J. M. Verbaarschot, and H. A. Weidenmüller, Nucl. Phys. A 441, 161 (1983).
29. P. E. Shanley, Ann. Phys. (N.Y.) 186, 292 (1988).
30. W. D. Heiss and A. A. Kotzé, Phys. Rev. A 44, 2403 (1991).
31. J. von Neumann and E. Wigner, Phys. Z. 30, 467 (1929).
32. C. E. Zener, Proc. R. Soc. London, Ser. A 137, 696 (1932).
33. D. L. Hill and J. A. Wheeler, Phys. Rev. 89, 1102 (1953).
34. W. J. Swiatecki, Nucl. Phys. A 488, 375c (1988).
35. M. Wilkinson, Phys. Rev. A 41, 4645 (1990).
36. D. Kusnezov, in Symmetries in Science VII, edited by B. Gruber and T. Otsuka (Plenum Press, New York, 1994).
37. D. Kusnezov and D. Mitchell, Phys. Rev. C 54, 147 (1996).
38. V. Paar, D. Vorkapic, and A. E. L. Dieperink, Phys. Rev. Lett. 69, 2184 (1992).
39. A. Bulgac, G. Do Dang, and D. Kusnezov, Phys. Rev. E 54, 3468 (1996)
40. A. BulgacG. Do DangD. KusnezovPhys. Rep. 264, 67 (1996).
41. S. Mizutori and S. Åberg, Phys. Rev. E 56, 6311 (1997).
42. A. Bulgac, G. Do Dang, and D. Kusnezov, Phys. Rev. E 58, 196 (1998).