Colloquium: Random matrices and chaos in nuclear spectra

Reviews of Modern Physics

Volumn 79, Issue 3, 2007, Pages 997-1013

  Papenbrock, T ^a,b   Weidenmuller H A ^c  

^a UNIVERSITY OF TENNESSEE   (United States)

^b OAK RIDGE NATIONAL LABORATORY   (United States)

^c MAX PLANCK INSTITUT FÜR KERNPHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; CHAOS THEORY; CORRELATION THEORY; MATHEMATICAL MODELS; MATRIX ALGEBRA; MEAN FIELD THEORY; RANDOM PROCESSES;

ATOMIC NUCLEI; MATRIX ELEMENTS; NUCLEAR SPECTRA; RANDOM MATRICES; RANDOM-MATRIX THEORY;

QUANTUM THEORY;

EID: 34548425044     PISSN: 00346861     EISSN: 15390756     Source Type: Journal    
DOI: 10.1103/RevModPhys.79.997     Document Type: Article

References (40)

1. Abul-Magd, A. Y., H. L. Harney, M. H. Simbel, and H. A. Weidenmüller, 2004, Phys. Lett. B PYLBAJ 0370-2693 10.1016/j.physletb.2003. 07.092 579, 278.
2. Ajzenberg-Selove, J., 1987, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(87)90205-3 475, 1.
3. Alhassid, Y., and N. Whelan, 1991, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.816 67, 816.
4. Benet, L., and H. A. Weidenmüller, 2003, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/12/340 36, 3569.
5. Bijker, R., and A. Frank, 2000, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.420 84, 420.
6. Bijker, R., and A. Frank, 2001, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.64.061303 64, 061303.
7. Bohigas, O., and J. Flores, 1971, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(71)90598-3 34B, 261.
8. Bohigas, O., E. M. Giannoni, and C. Schmit, 1986, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52.1 52, 1.
9. Bohr, A., and B. Mottelson, 1975, Nuclear Structure (Benjamin, New York), Vol. II.
10. Bohr, N., 1936, Nature (London) NATUAS 0028-0836 137, 344.
11. Brown, B. A., and B. H. Wildenthal, 1988, Annu. Rev. Nucl. Part. Sci. ARPSDF 0163-8998 10.1146/annurev.ns.38.120188.000333 38, 29.
12. Dyson, F. J., 1962a, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703773 3, 140.
13. Dyson, F. J., 1962b, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703774 3, 157.
14. Dyson, F. J., 1962c, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703863 3, 1199.
15. French, J. B., and S. S. M. Wong, 1970, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(70)90213-3 33B, 449.
16. Garg, J. B., J. Rainwater, J. S. Petersen, and W. W. Havens, Jr., 1964, Phys. Rev. PRVBAK 0096-8269 10.1103/PhysRev.134.B985 134, B985.
17. Guhr, T., A. Müller-Groeling, and H. A. Weidenmüller, 1998, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00088-4 299, 189.
18. Haake, F., 2001, Quantum Signatures of Chaos, 2nd enlarged ed. (Springer-Verlag, Berlin).
19. Haq, R. V., A. Pandey, and O. Bohigas, 1982, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.48.1086 48, 1086.
20. Haq, R. V., A. Pandey, and O. Bohigas, 1983, in Nuclear Data for Science and Technology, edited by, K. H. Böckhoff, (Reidel, Dordrecht), p. 209.
21. Heusler, S., S. Müller, A. Altland, P. Braun, and F. Haake, 2007, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.044103 98, 044103.
22. Honma, M., T. Otsuka, B. A. Brown, and T. Mizusaki, 2004, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.69.034335 69, 034335.
23. Jaquod, P., and A. D. Stone, 2000, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.3938 84, 3938.
24. Johnson, C. W., G. F. Bertsch, and D. J. Dean, 1998, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2749 80, 2749.
25. Kota, V. B. K., 2001, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00) 00113-7 347, 223.
26. Lane, T., and R. Thomas, 1958, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.30.257 30, 257.
27. Lapikas, L., 1993, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(93) 90630-G 553, 297c.
28. Mayer, M., and J. H. D. Jensen, 1955, Elementary Theory of Nuclear Shell Structure (Wiley, New York).
29. Mehta, M. L., 2004, Random Matrices, 3rd ed. (Academic, New York).
30. Mon, K. K., and J. B. French, 1975, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(75)90045-7 95, 90.
31. Papenbrock, T., and H. A. Weidenmüller, 2004, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.132503 93, 132503.
32. Papenbrock, T., and H. A. Weidenmüller, 2005, Nucl. Phys. A NUPABL 0375-9474 10.1016/j.nuclphysa.2005.04.018 757, 422.
33. Papenbrock, T., and H. A. Weidenmüller, 2006, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.73.014311 73, 014311.
34. Porter, C. E., 1965, Statistical Theories of Spectra: Fluctuations (Academic, New York).
35. Wigner, E. P., 1955, Ann. Math. ANMAAH 0003-486X 10.2307/1970079 62, 548.
36. Wigner, E. P., 1959, Report No. ORNL-2309, Oak Ridge National Laboratory (reprinted in Porter, 1965), p. 188.
37. Zelevinsky, V., B. A. Brown, N. Frazier, and M. Horoi, 1996, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(96)00007-5 276, 85.
38. Zelevinsky, V., and A. Volya, 2004, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2003.10.008 391, 311.
39. Zhao, Y. M., A. Arima, and N. Yoshinaga, 2002, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.66.034302 66, 034302.
40. Zhao, Y. M., A. Arima, and N. Yoshinaga, 2004, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2004.07.004 400, 1.