QUANTUM CHAOS AND COMPLEXITY IN NUCLEI
10.1146/annurev.nucl.46.1.237
Crossref journal-article
Annual Reviews
Annual Review of Nuclear and Particle Science (22)
Abstract

▪ Abstract  A mesoscopic system with strong interaction between constituents, the atomic nucleus is a good candidate for studying the manifestations of quantum chaos. Recent experimental and theoretical developments give clear evidence of the dominant role chaotic dynamics plays not only in local level statistics, but also in the damping of collective motion, isospin and parity nonconservation, thermalization, and decay into continuum. In this review, those and other phenomena are discussed from the general viewpoint of quantum chaos and complexity. The complexity of eigenstates measured by information entropy in the mean-field basis is more informative than the standard signatures of chaos in the level statistics. It evolves regularly as a function of excitation energy and provides an alternative temperature scale. This sheds new light on the problems of foundations of statistical mechanics and quantum decoherence.

Bibliography

Zelevinsky, V. (1996). QUANTUM CHAOS AND COMPLEXITY IN NUCLEI. Annual Review of Nuclear and Particle Science, 46(1), 237–279.

Authors 1
  1. Vladimir Zelevinsky (first)
References 178 Referenced 89
  1. 10.1146/annurev.ns.38.120188.002225
  2. {'key': 'b2', 'volume-title': 'Deterministic Chaos.', 'author': 'Schuster HG', 'year': '1989'} / Deterministic Chaos. by Schuster HG (1989)
  3. Casati G, Chirikov BV, ed. Quantum Chaos: Between Order and Disorder. Cambridge: Cambridge Univ Press(1995) (10.1017/CBO9780511599989)
  4. Elyutin PV. Usp. Fiz. Nauk155:397(1988)[Engl. transl. Sov. Phys. Usp. 31:597 (1988)] (10.3367/UFNr.0155.198807b.0397)
  5. 10.1016/0370-1573(90)90067-C
  6. 10.1016/0370-1573(89)90121-X
  7. {'key': 'b7', 'volume-title': 'Chaos and Quantum Physics.', 'author': 'Giannoni M-J', 'year': '1991'} / Chaos and Quantum Physics. by Giannoni M-J (1991)
  8. 10.1103/RevModPhys.53.385
  9. 10.1007/978-1-4899-3698-1_38
  10. 10.1103/PhysRevLett.68.3468
  11. 10.1103/PhysRevLett.69.506
  12. 10.1103/PhysRevA.50.267
  13. 10.1103/PhysRevLett.70.497
  14. 10.1016/0375-9474(93)90582-I
  15. 10.1016/0375-9474(93)90619-9
  16. 10.1088/0022-3700/6/9/002
  17. 10.1103/PhysRev.120.181
  18. {'key': 'b18', 'first-page': '377', 'volume': '32', 'author': 'Sushkov OP', 'year': '1980', 'journal-title': "Pis'ma Zh. Exptl. Teor. Fiz."} / Pis'ma Zh. Exptl. Teor. Fiz. by Sushkov OP (1980)
  19. Landau LD. JETP11:592(1941);JETP30:1058(1956)[Engl. transl.Collected Papers by LD Landau, ed. D Ter Haar, pp. 301, 723.New York: Gordon & Breach 1965]
  20. 10.1103/PhysRevA.39.374
  21. 10.1016/0375-9474(93)90316-P
  22. 10.1016/0370-2693(95)00324-E
  23. {'key': 'b23', 'volume-title': 'Statistical Physics', 'author': 'Landau LD', 'year': '1958'} / Statistical Physics by Landau LD (1958)
  24. 10.1103/PhysRevLett.74.5194
  25. 10.1038/137344a0
  26. {'key': 'b26', 'author': 'Zelevinsky V', 'journal-title': 'Phys. Rep.'} / Phys. Rep. by Zelevinsky V
  27. 10.1016/0003-4916(72)90006-1
  28. 10.1007/978-1-4612-0983-6 / Chaos in Quantum and Classical Mechanics. by Gutzwiller MS
  29. 10.1080/00018736000101239
  30. {'key': 'b30', 'volume-title': 'Nuclear Structure, vol. 1.', 'author': 'Bohr A', 'year': '1969'} / Nuclear Structure, vol. 1. by Bohr A (1969)
  31. 10.1146/annurev.ns.38.120188.000333
  32. 10.1103/PhysRevA.37.3499
  33. 10.1007/978-1-4757-4257-2
  34. {'key': 'b34', 'first-page': '465', 'volume': '30', 'author': 'von Neumann J', 'year': '1929', 'journal-title': 'Z. Phys.'} / Z. Phys. by von Neumann J (1929)
  35. {'key': 'b35', 'volume-title': 'Statistical Theories of Spectra: Fluctuations.', 'author': 'Porter CE', 'year': '1965'} / Statistical Theories of Spectra: Fluctuations. by Porter CE (1965)
  36. 10.1063/1.1703773
  37. {'key': 'b37', 'volume-title': 'Random Matrices.', 'author': 'Mehta ML', 'year': '1991'} / Random Matrices. by Mehta ML (1991)
  38. Ullah N, Porter CE. Phys. Lett.6:301(1963);Ullah N. Int. Nucl. Phys. Conf.ed. RL Becker. New York: Academic.812 pp.(1967) (10.1016/0031-9163(63)90484-0)
  39. 10.1103/PhysRevLett.73.798
  40. 10.1016/0375-9474(84)90383-X
  41. {'key': 'b41', 'author': 'Flambaum VV', 'journal-title': 'Phys. Rev. E.'} / Phys. Rev. E. by Flambaum VV
  42. 10.1016/0370-2693(71)90424-2
  43. 10.1103/PhysRevLett.64.1
  44. 10.1103/PhysRevLett.67.2405
  45. {'key': 'b45', 'first-page': '1283', 'volume': '9', 'author': 'Gurevich', 'year': '1939', 'journal-title': 'Zh. Eksp. Teor. Phys.'} / Zh. Eksp. Teor. Phys. by Gurevich (1939)
  46. 10.1103/PhysRev.120.1698
  47. 10.1103/PhysRevLett.61.1473
  48. 10.1103/PhysRevC.43.521
  49. Garrett JD, et al. Future Directions with4πGamma Detection Systems of the New Generation, ed. J Dudek, B Haas, p. 345.:AIP(1991)
  50. 10.1103/PhysRevLett.48.1086
  51. 10.1103/PhysRevLett.52.1
  52. {'key': 'b52', 'first-page': '1407', 'volume': '48', 'author': "Gor'kov LP", 'year': '1965', 'journal-title': 'Zh. Eksp. Teor. Fiz.'} / Zh. Eksp. Teor. Fiz. by Gor'kov LP (1965)
  53. {'key': 'b53', 'author': 'Heiss WD', 'journal-title': 'Phys. Rev. Lett.'} / Phys. Rev. Lett. by Heiss WD
  54. 10.1103/PhysRevLett.64.2215
  55. 10.1103/PhysRevLett.69.1296
  56. 10.1103/PhysRevLett.75.1546
  57. 10.1103/PhysRevC.3.94
  58. 10.1016/0146-6410(92)90012-Q
  59. 10.1103/PhysRevC.46.1710
  60. 10.1103/PhysRevC.49.867
  61. 10.1016/0370-2693(84)91598-3
  62. Brown BA, et al. OXBASH code, MSUNSCL Report no. 524(1988)
  63. 10.1088/0305-4470/17/12/013
  64. 10.1088/0305-4470/26/10/010
  65. 10.1088/0305-4470/22/21/004
  66. 10.1103/PhysRevLett.74.4269
  67. 10.1016/0375-9601(94)90070-1
  68. 10.1098/rspa.1985.0078
  69. {'key': 'b69', 'first-page': '131', 'volume': '337', 'author': 'Lopac V', 'year': '1990', 'journal-title': 'Z. Phys. A'} / Z. Phys. A by Lopac V (1990)
  70. 10.1103/PhysRevA.44.6920
  71. 10.1103/PhysRevLett.70.587
  72. 10.1103/PhysRevLett.70.4063
  73. 10.1103/PhysRevLett.74.4635
  74. 10.1063/1.1703862
  75. 10.1103/PhysRevLett.51.943
  76. 10.1016/0375-9601(86)90138-6
  77. 10.1103/PhysRevC.41.2333
  78. 10.1103/PhysRevA.42.4015
  79. 10.1103/PhysRevE.47.1650
  80. {'key': 'b80', 'author': 'Kusnezov D', 'journal-title': 'Phys. Rev.'} / Phys. Rev. by Kusnezov D
  81. 10.1007/BF01437751
  82. 10.1146/annurev.ns.16.120166.001151
  83. 10.1016/0370-2693(88)90844-1
  84. Berry MV. Les Houches XXXVI, Chaotic Behavior of Deterministic Systems, ed. G Iooss, R H G Helleman, R Stora. Amsterdam: North Holland(1983);Les Houches LII, Chaos and Quantum Physics, ed. M-J Giannoni, A Voros, J Zinn-Justin. Amsterdam: North Holland(1991)
  85. {'key': 'b85', 'first-page': '445', 'volume': '48', 'author': 'Aurich R', 'year': '1991', 'journal-title': 'Physica'} / Physica by Aurich R (1991)
  86. 10.1103/PhysRevLett.53.1515
  87. 10.1209/0295-5075/6/8/001
  88. 10.1103/RevModPhys.55.287
  89. {'key': 'b89', 'first-page': '121', 'volume': '337', 'author': 'Reiter J', 'year': '1990', 'journal-title': 'Z. Phys. A'} / Z. Phys. A by Reiter J (1990)
  90. 10.1103/RevModPhys.58.607
  91. 10.1016/0375-9474(91)90789-9
  92. Zelevinsky VG, Bortignon PF, Broglia RA. PreprintNBI-93-45
  93. 10.1103/PhysRevLett.74.5190
  94. 10.1088/0954-3899/19/1/002
  95. 10.1146/annurev.ns.42.120192.002411
  96. 10.1103/PhysRevLett.74.3748
  97. 10.1103/PhysRevLett.71.967
  98. 10.1103/PhysRevC.41.202
  99. 10.1103/PhysRevLett.17.74
  100. 10.1016/0375-9474(94)90109-0
  101. 10.2307/1970079
  102. 10.1103/PhysRevB.42.9377
  103. 10.1070/PU1992v035n09ABEH002261
  104. 10.1146/annurev.ns.44.120194.000331
  105. 10.1063/1.881293
  106. Quint E. Limitations of the Mean-Field Description for Nuclei in the Pb Region. PhD thesis. Univ. Amsterdam(1988)
  107. 10.1016/S0031-8914(54)92646-4 / Physica by Van Hove L (1955)
  108. 10.1103/PhysRevE.50.888
  109. 10.1103/PhysRevLett.70.4051
  110. {'key': 'b110', 'author': 'Flambaum VV', 'journal-title': 'Phys. Rev.'} / Phys. Rev. by Flambaum VV
  111. {'key': 'b111', 'first-page': '263', 'volume': '11', 'author': 'Goodman AL', 'year': '1979', 'journal-title': 'Adv. Nucl. Phys.'} / Adv. Nucl. Phys. by Goodman AL (1979)
  112. 10.1103/PhysRevLett.75.1276
  113. 10.1142/S0218301393000108
  114. 10.1016/0375-9474(94)90044-2
  115. Zelevinsky VG. Frontiers of Nuclear Physics, p. 243. Dubna: JINR(1995)
  116. 10.1016/0375-9474(93)90227-O
  117. 10.1103/PhysRevA.35.2389
  118. {'key': 'b118', 'first-page': '233', 'volume': '334', 'author': 'Milek B', 'year': '1989', 'journal-title': 'Z. Phys. A'} / Z. Phys. A by Milek B (1989)
  119. 10.1088/0305-4470/22/11/018
  120. 10.1103/PhysRevLett.72.3771
  121. 10.1103/PhysRevC.25.2780
  122. 10.1103/PhysRevLett.68.3008
  123. 10.1016/0375-9474(95)00024-U
  124. 10.1016/0375-9474(86)90519-1
  125. 10.1016/0375-9474(93)90542-6
  126. 10.1016/0370-1573(95)00060-7
  127. {'key': 'b127', 'first-page': '615', 'volume': '2', 'author': 'Belyaev ST', 'year': '1965', 'journal-title': 'Yad. Fiz.'} / Yad. Fiz. by Belyaev ST (1965)
  128. 10.1016/0375-9474(94)90147-3
  129. 10.1103/PhysRevC.47.2621
  130. {'key': 'b130', 'volume-title': 'Fundamental Interactions and The Nucleus.', 'author': 'Blin-Stoyle RJ', 'year': '1973'} / Fundamental Interactions and The Nucleus. by Blin-Stoyle RJ (1973)
  131. 10.1016/0375-9474(83)90649-8
  132. 10.1103/PhysRevLett.65.1192
  133. 10.1103/PhysRevLett.67.564
  134. 10.1103/PhysRev.116.1221
  135. 10.3367/UFNr.0095.196808c.0647
  136. 10.1016/0370-2693(94)91289-0
  137. 10.1103/PhysRevLett.67.310
  138. 10.1016/0003-4916(88)90166-2
  139. 10.1016/0146-6410(95)00045-K
  140. 10.1016/0370-2693(95)00325-F
  141. 10.1016/0370-2693(95)01099-C
  142. {'key': 'b142', 'volume-title': 'Nuclear Structure, vol. 2.', 'author': 'Bohr A', 'year': '1974'} / Nuclear Structure, vol. 2. by Bohr A (1974)
  143. {'key': 'b143', 'first-page': '197', 'volume': '26', 'author': 'Danilyan GV', 'year': '1977', 'journal-title': "Pis'ma Zh. Exp. Teor. Fiz."} / Pis'ma Zh. Exp. Teor. Fiz. by Danilyan GV (1977)
  144. 10.1016/0375-9474(89)90670-2
  145. 10.1016/0003-4916(91)90372-F
  146. Smilansky U. Chaos and quantum physics, ed. M Giannoni, A Voros, J Zinn-Justin. Amsterdam: North Holland(1991)
  147. 10.1016/0375-9474(92)90485-3
  148. 10.1016/0375-9474(92)90043-J
  149. 10.1016/0003-4916(58)90007-1
  150. {'key': 'b150', 'volume-title': 'Shell-Model Approach to Nuclear Reactions.', 'author': 'Mahaux C', 'year': '1969'} / Shell-Model Approach to Nuclear Reactions. by Mahaux C (1969)
  151. 10.1016/0003-4916(92)90180-T
  152. 10.1016/0370-2693(90)92089-2
  153. 10.1016/0375-9474(94)90972-5
  154. 10.1103/PhysRev.93.99
  155. 10.1103/PhysRev.171.1164
  156. 10.1103/PhysRevC.32.1742
  157. 10.1088/0954-3899/19/12/010
  158. 10.1016/0003-4916(79)90287-2
  159. 10.1016/0375-9474(90)90617-U
  160. 10.1016/0375-9601(88)90138-7
  161. {'key': 'b161', 'author': 'Flambaum VV', 'journal-title': 'Phys. Rev. A.'} / Phys. Rev. A. by Flambaum VV
  162. {'key': 'b162', 'first-page': '303', 'volume': '22', 'author': 'Sokolov VV', 'year': '1990', 'journal-title': 'Fizika'} / Fizika by Sokolov VV (1990)
  163. {'key': 'b163', 'first-page': '383c', 'volume': '569', 'author': 'Suomijärvi T', 'year': '1993', 'journal-title': 'Nucl. Phys.'} / Nucl. Phys. by Suomijärvi T (1993)
  164. 10.1007/BF01470925
  165. {'key': 'b165', 'first-page': '3', 'volume': '6', 'author': 'Ginibre J', 'year': '1965', 'journal-title': 'J. Math. Phys.'} / J. Math. Phys. by Ginibre J (1965)
  166. 10.1063/1.1664808
  167. 10.1007/BF01290775
  168. 10.1016/0375-9601(91)90695-5
  169. 10.1016/0003-4916(92)90359-T
  170. 10.1103/PhysRevE.49.130
  171. 10.1103/PhysRevLett.65.2213
  172. 10.1103/PhysRevLett.74.62
  173. 10.1016/0370-1573(85)90070-5
  174. 10.1080/14786435608238116
  175. 10.1103/PhysRevLett.70.3201
  176. 10.1103/PhysRevLett.67.3360
  177. 10.1103/PhysRevLett.73.2288
  178. {'key': 'b178', 'first-page': '41', 'volume': '326', 'author': 'Kilgus G', 'year': '1987', 'journal-title': 'Z. Phys. A'} / Z. Phys. A by Kilgus G (1987)
Dates
Type When
Created 23 years, 1 month ago (July 27, 2002, 7:45 a.m.)
Deposited 3 years, 10 months ago (Oct. 15, 2021, 3:11 a.m.)
Indexed 3 weeks, 1 day ago (Aug. 6, 2025, 8:37 a.m.)
Issued 28 years, 8 months ago (Dec. 1, 1996)
Published 28 years, 8 months ago (Dec. 1, 1996)
Published Print 28 years, 8 months ago (Dec. 1, 1996)
Funders 0

None

@article{Zelevinsky_1996, title={QUANTUM CHAOS AND COMPLEXITY IN NUCLEI}, volume={46}, ISSN={1545-4134}, url={http://dx.doi.org/10.1146/annurev.nucl.46.1.237}, DOI={10.1146/annurev.nucl.46.1.237}, number={1}, journal={Annual Review of Nuclear and Particle Science}, publisher={Annual Reviews}, author={Zelevinsky, Vladimir}, year={1996}, month=dec, pages={237–279} }