A quantal transport theory for nuclear collective motion: The merits of a locally harmonic approximation

Physics Report

Volumn 284, Issue 4-5, 1997, Pages 137-380

  Hofmann, Helmut ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Brownian motion for self bound systems; Collective and nucleonic motion at finite T; Nuclear dissipation; Quantal dynamics of fluctuations

Indexed keywords

EID: 0031138656     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-1573(97)00006-9     Document Type: Review

References (307)

1. [1] J.H.D. Jensen, Glimpses at the history of the nuclear structure theory, in: Nobel Lectures, Physics 1963-1970, Elsevier, New York, 1972.
2. [2] A. Bohr, Rev. Mod. Phys. 48 (1976) 365.
3. [3] B. Mottelson, Rev. Mod. Phys. 48 (1976) 375.
4. [4] J. Rainwater, Rev. Mod. Phys. 48 (1976) 385.
5. [5] N. Bohr, Nature 137 (1936) 344, 351.
6. [6] N. Bohr, F. Kalckar, Kgl. Danske Videnskab. Selskab, Mat. Fys. Medd. 14 (10) (1937).
7. [7] L. Meitner, O.R. Frisch, Nature 143 (1939) 239.
8. [8] N. Bohr, J.A. Wheeler, Phys. Rev. 56 (1939) 426.
9. [9] H.A. Kramers, Physica 7 (1940) 284.
10. [10] A. Bohr, B.R. Mottelson, Kgl. Danske Videnskab. Selskab, Mat. Fys. Medd. 27 (16) (1953).
11. [11] A.K. Kerman, S.E. Koonin, Ann. Phys. 100 (1976) 332.
12. [12] F. Villars, Nucl. Phys. A 285 (1977) 269.
13. [13] M. Baranger, M. Vénéroni, Ann. Phys. 114 (1978) 123.
14. [14] K. Goeke, P.G. Reinhard, Ann. Phys. 112 (1978) 328.
15. [15] D.J. Rowe, R. Basserman, Canad. J. Phys. 57 (1976) 1941.
16. [16] T. Marumori, Progr. Theor. Phys. 57 (1977) 112.
17. [17] F. Sakata, M. Matsuo, T. Marumori, Y. Zhuo, Ann. Phys. 194 (1989) 30.
18. [18] A. Klein, N.R. Walet, G. Do Dang, Ann. Phys. 208 (1991) 90.
19. [19] P. Ring, P. Schuck, The Nuclear Many Body Problem, Springer, Berlin, 1980.
20. [20] P. Danielewicz, Ann. Phys. 152 (1984) 239, 305.
21. [21] R. Malfliet, in: M. Soyeur, H. Flocard, B. Tamain, M. Porneuf (Eds.), Invited Talk at the Les Houches Winter School on Nuclear Matter and Heavy Ion Collisions, Feb. 7-16, 1989, Plenum Press, New York, 1989.
22. [22] H. Stöcker, W. Greiner, Phys. Rep. 137 (1986) 277.
23. [23] G.F. Bertsch, S. Das Gupta, Phys. Rep. 160 (1988) 189.
24. [24] Y. Abe, S. Ayik, P.-G. Reinhard, E. Suraud, Phys. Rep. 275 (1996) 249.
25. [25] W. Nörenberg, Phys. Lett. B 53 (1974) 289.
26. [26] L. Moretto, J.S. Sventek, Phys. Lett. B 58 (1975) 26.
27. [27] H. Hofmann, P.J. Siemens, Nucl. Phys. A 257 (1976) 165.
28. [28] H. Hofmann, P.J. Siemens, Nucl. Phys. A 275 (1977) 464.
29. [29] W. Nörenberg, H.A. Weidenmüller, Lecture Notes in Physics, vol. 51, 2nd ed., Springer, Heidelberg, 1980.
30. [30] W. Nörenberg, in: C.H. Dasso (Ed.), Nuclear Physics, Proc. Nuclear Physics Workshop, I.C.T.P., Trieste, Miramare, Italy, 5-30 October, 1981, North-Holland, Amsterdam, 1982, p. 543.
31. [31] H.A. Weidenmüller, Progress Particle Nucl. Phys. 3 (1980) 49.
32. [32] M.C. Nemes, H.A. Weidenmüller, Phys. Rev. 24 (1981) 450 and 944.
33. [33] W. Nörenberg, Nucl. Phys. A 428 (1984) 177c.
34. [34] W. Nörenberg, in: W.Q Shen, J.Y. Lin, L.X. Ge (Eds.), Heavy Ion Reaction Theory, World Scientific, Singapore, 1989, p. 1.
35. [35] R. Balian, M. Vénéroni, Ann. Phys. 164 (1985) 334; ibid: 187 (1988) 29; 195 (1989) 324; 216 (1992) 351.
36. [35] R. Balian, M. Vénéroni, Ann. Phys. 164 (1985) 334; ibid: 187 (1988) 29; 195 (1989) 324; 216 (1992) 351.
37. [35] R. Balian, M. Vénéroni, Ann. Phys. 164 (1985) 334; ibid: 187 (1988) 29; 195 (1989) 324; 216 (1992) 351.
38. [35] R. Balian, M. Vénéroni, Ann. Phys. 164 (1985) 334; ibid: 187 (1988) 29; 195 (1989) 324; 216 (1992) 351.
39. [36] V.M. Strutinsky, Nucl. Phys. A 95 (1967) 420; A 122 (1968) 1.
40. [36] V.M. Strutinsky, Nucl. Phys. A 95 (1967) 420; A 122 (1968) 1.
41. [37] A. Bohr, B.R. Mottelson, Nuclear Structure, Vol. II, Benjamin, London, 1975.
42. [38] V.M. Strutinsky, F.A. Ivanjuk, Nucl. Phys. A 255 (1975) 405.
43. [39] A. Sobiczewski, A. Gyurkovich, M. Brack, Nucl. Phys. A 289 (1977) 346.
44. [40] V.S. Ramamurthy, S.S. Kapoor, S.K. Kataria, Phys. Rev. Lett. 25 (1970) 386.
45. [41] V.S. Ramamurthy, S.S. Kapoor, Phys. Lett. B 42 (1972) 399.
46. [42] R.K. Bhaduri, C.K. Ross, Phys. Rev. Lett. 27 (1971) 606.
47. [43] R.K. Bhaduri, S. Das Gupta, Phys. Lett. B 47 (1973) 129.
48. [44] M. Brack, The shell correction method, in: R. Bengtson, J. Draayer, W. Nazarewicz (Eds.), Nuclear Structure Models, World Scientific, Singapore, 1992, p. 165.
49. [45] J. Blocki, Y. Boneh, J.R. Nix, J. Randrup, M. Robel, A. Sierk, W.J. Swiatecki, Prog. Part. Nucl. Phys. 4 (1980) 383.
50. [46] J. Randrup, W.J. Swiatecki, Ann. Phys. (NY) 125 (1980) 193.
51. [47] W.J. Swiatecki, Nucl. Phys. A 574 (1994) 233c.
52. [48] H. Hofmann, D. Kiderlen, I. Tsekhmistrenko, Z. Phys. A 341 (1992) 181.
53. [49] D. Kiderlen, H. Hofmann, Phys. Lett. B 332 (1994) 8.
54. [50] D. Kiderlen, Doctoral Thesis, TU Munich, 1994.
55. [51] D. Kiderlen, Nucl. Phys. A 589 (1995) 320.
56. [52] F. Scheuter, H. Hofmann, Nucl. Phys. A 394 (1983) 477.
57. [53] G. Lamm, K. Schulten, J. Chem. Phys. 78 (1983) 2713.
58. [54] P. Fröbrich, S.Y. Xu, Nucl. Phys. A 477 (1988) 143.
59. [55] H. Hofmann, Physica Scripta, T 32 (1990) 132.
60. [56] C. Grègoire, F. Scheuter, Z. Phys. A 303 (1981) 337.
61. [57] J.R. Nix, A.J. Sierk, H. Hofmann, F. Scheuter, D. Vautherin, Nucl. Phys. A 424 (1984) 239.
62. [58] F. Scheuter, C. Grègoire, H. Hofmann, J.R. Nix, Phys. Lett. B 149 (1984) 303.
63. [59] E. Strumberger, K. Dietrich, K. Pomorski, Nucl. Phys. A 529 (1991) 522; ibid. A 502 (1989) 523c.
64. [59] E. Strumberger, K. Dietrich, K. Pomorski, Nucl. Phys. A 529 (1991) 522; ibid. A 502 (1989) 523c.
65. [60] W. Przystupa, K. Pomorski, Nucl. Phys. A 572 (1994) 153.
66. [61] P. Fröbrich, I.I. Gontchar, Nucl. Phys. A 563 (1993) 326.
67. [62] D. Boilley, E. Suraud, Y. Abe, S. Ayik, Nucl. Phys. A 556 (1993) 67.
68. [63] P. Fröbrich, I.I. Gontchar, Physics Report, in preparation.
69. [64] H. Hofmann, C. Ngô, Phys. Lett B 65 (1976) 97.
70. [65] C. Ngô, H. Hofmann, Z. f. Physik A282 (1977) 83.
71. [66] H. Hofmann, Fizika 9 (1977) 441.
72. [67] M. Berlanger, P Grangè, H. Hofmann, C. Ngô, J. Richert, Phys. Rev. C 17 (1978) 1495.
73. [68] H. Hofmann, C. Grègoire, R. Lucas, C. Ngô, Z. f. Physik A 293 (1979) 229.
74. [69] H. Hofmann, Phys. Lett. B 61 (1976) 423.
75. [70] V.M. Strutinsky, Nucl. Phys. A 502 (1989) 67c.
76. [71] D. Kiderlen, H. Hofmann, F.A. Ivanyuk, Nucl. Phys. A 550 (1992) 473.
77. [72] H. Hofmann, R. Sollacher, Ann. Phys. 184 (1988) 62.
78. [73] H. Hofmann, R. Samhammer, G. Ockenfuß, Nucl. Phys. A 496 (1989) 269.
79. [74] H. Hofmann, G.-L. Ingold, Phys. Lett. B 264 (1991) 253.
80. [75] P.J. Siemens, A.S. Jensen, Elements of Nuclei: Many-Body Physics with the Strong Interaction, Addison-Wesley, Reading, MA, 1987.
81. [76] R. Kubo, M. Toda, N. Hashitsume, Statistical Physics II, Non-equilibrium Statistical Mechanics, Springer, New York, 1985.
82. [77] W. Brenig, Statistische Theorie der Wärme, Springer, Berlin, 1992.
83. [78] L.D. Landau, E.M. Lifschitz, Course of Theoretical Physics, vol. 5, Statistical Physics, Part 1, Pergamon, Oxford, 1980.
84. [79] H. Hofmann, S. Yamaji, A.S. Jensen, Phys. Lett. B 286 (1992) 1.
85. [80] H. Hofmann, F.A. Ivanyuk, Z. Phys. A, Hadrons, Nuclei, 344 (1993) 285.
86. [81] E.T. Whittaker, G.N. Watson, A Course in Modern Analysis, Cambridge University Press, New York, 1992.
87. [82] R. Samhammer, Doctoral Thesis, Technical University Munich, 1988.
88. [83] R. Samhammer, H. Hofmann, S. Yamaji, Nucl. Phys. A 503 (1989) 404.
89. [84] F.A. Ivanyuk, H. Hofmann, V.V. Pashkevich, S. Yamaji, Phys. Rev. C 55 (1997) 1730.
90. [85] H. Hofmann, R. Samhammer, S. Yamaji, Phys. Lett. B 229 (1989) 309.
91. [86] A.O. Caldeira, A.J. Leggett, Ann. Phys. 149 (1983) 374.
92. [87] P. Hänggi, J. Stat. Phys. 42 (1986) 105.
93. [88] H. Grabert, P. Olschowski, U. Weiss, Phys. Rev. B 36 (1987) 1931.
94. [89] H. Grabert, P. Schramm, G.-L. Ingold, Phys. Rep. 168 (1988) 115.
95. [90] D. Bohm, D. Pines, Phys. Rev. 32 (1953) 609.
96. [91] H. Hofmann, Phys. Lett. B 119 (1982) 7.
97. [92] P.J. Siemens, Nucl. Phys. A 387 (1982) 247c.
98. [93] H.A. Tolhoek, Physica 21 (1954) 1.
99. [94] G. Süssmann, Z. Phys. 139 (1954) 543.
100. [95] T. Marumori, S. Suekane, A. Yamamoto, Progr. Theor. Phys. 16 (1956) 320.
101. [96] A. Bohr, B.R. Mottelson, D. Kon. Nor. Vid. Selskab. Forhandl. 31 (12) (1958).
102. [97] R. Sollacher, H. Hofmann, Z. Phys. A 339 (1991) 1.
103. [98] L.P. Kadanoff, P.C. Martin, Ann. Phys. 24 (1963) 419.
104. [99] D. Forster, Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions, W.A. Benjamin, London, 1975.
105. [100] H. Hofmann, A.S. Jensen, Nucl. Phys. A 428 (1984) 1.
106. [101] H. Hofmann, Damped Motion in Collective Phase Space (Trieste, October 1985) in: M. di Toro, W. Nörenberg, M. Rosina, S. Stringari (Eds.), Phase Space Approach to Nuclear Dynamics, World Scientific, Singapore, 1986.
107. [102] H. Hofmann, D. Kiderlen, to be published.
108. [103] H. Grabert, U. Weiss, P. Talkner, Z. Physik B 55 (1984) 87.
109. [104] M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions, Dover, New York, 1968.
110. [105] E.R. Hansen, A Table of Series and Products, Prentice-Hall, Englewood Cliffs, NJ, 1975.
111. [106] H. Hofmann, R. Samhammer, Z. Phys. 322 (1985) 157.
112. [107] H. Hofmann, P.J. Siemens, Phys. Lett. B 58 (1975) 417.
113. [108] F. Scheuter, Thesis, TU München, 1982.
114. [109] R. Samhammer, Diploma Thesis, Technical University Munich, 1984.
115. [110] D. Hill, J.A. Wheeler, Phys. Rev. 89 (1953) 1102.
116. [111] N.L. Balazs, A. Voros, Ann. Phys. 199 (1990) 123.
117. [112] G.-L. Ingold, Thesis, Univ. Stuttgart, 1988.
118. [113] J. Ankerhold, H. Grabert, G.-L. Ingold, Phys. Rev. E 51 (1995) 4267.
119. [114] J.S. Langer, Ann. Phys. 41 (1967) 108.
120. [115] C. Callan, S. Coleman, Phys. Rev. D 16 (1977) 1762.
121. [116] S. Coleman, in: A. Zuchichi (Ed.), The uses of instantons, Erice 1977, Plenum Press, London, 1979.
122. [117] I. Affleck, Phys. Rev. Lett. 46 (1981) 388.
123. [118] H. Hofmann, D. Kiderlen, A self-consistent treatment of damped motion for stable and unstable collective modes, to be published.
124. [119] P.G. Reinhard, M. Rufa, J. Maruhn, W. Greiner, J. Friedrichs, Z. Phys. A 323 (1986) 13.
125. [120] M.M. Sharma, M.A. Nagarajan, P. Ring, Phys. Lett. B 312 (1993) 377.
126. [121] M.M. Sharma, G.A. Lalazissis, W. Hillebrandt, P. Ring, Phys. Rev. Lett. 72 (1994) 1431.
127. [122] B.D. Serot, J.D. Walecka, The relativistic nuclear many body problem, Adv. Nucl. Phys. 16 (1986) 1.
128. [123] H.A. Bethe, The Strutinsky energy theorem, in: Quanten und Felder, F. Vieweg u. Sohn, Braunschweig 1971.
129. [124] W.D. Myers, W.J. Swiatecki, Nucl. Phys. 81 (1966) 1.
130. [125] M. Brack, J. Damgaard, A.S. Jensen, H.C. Pauli, V.M. Strutinsky, C.Y. Wong, Rev. Mod. Phys. 44 (1972) 320.
131. [126] M. Brack, On Strutinsky's Shell Correction Method..., Lectures given at the Int. School on Nuclear Physics, Predeal, Romania, September 1974.
132. [127] H.A. Bethe, Ann. Rev. Nucl. Sci. 21 (1971) 93.
133. [128] G.G. Bunatian, V.M. Kolomietz, V.M. Strutinsky, Nucl. Phys. A 188 (1972) 225.
134. [129] M. Brack, P. Quentin, Nucl. Phys. A 361 (1981) 35.
135. [130] M. Brack, P. Quentin, Physics and Chemistry of Fission, Rochester 1973, IAEA, Vienna (1974) vol. I, p. 231.
136. [131] P. Möller, J.R. Nix, Critical Assessment of Nuclear Mass Models, Proc. 6th Int. Conf. on Nuclei far from Stability and 9th Int. Conf. on Nuclear Masses and Fundamental Constants, Bernkastel-Kues, 1992 (IOP Publishing Limited, Bristol, 1993) Inst. Phys. Ser. No. 132 (1993) pp. 43-52.
137. [132] P. Möller, J.R. Nix, W.D. Myers, W.J. Swiatecki, Atomic Data and Nuclear Data Tables 59 (1995) 185.
138. [133] Y. Aboussir, J.M. Pearson, A.K. Dutta, F. Tondeur, Atomic Data and Nuclear Data Tables, 61 (1995) 127; see also Nucl. Phys. A 549 (1992) 155.
139. [133] Y. Aboussir, J.M. Pearson, A.K. Dutta, F. Tondeur, Atomic Data and Nuclear Data Tables, 61 (1995) 127; see also Nucl. Phys. A 549 (1992) 155.
140. [134] H. Hofmann, F.A. Ivanyuk, S. Yamaji, Nucl. Phys. A 598 (1996) 187.
141. [135] M. Bolsterli, E.O. Fiset, J.R. Nix, J.L. Norton, Phys. Rev. C 5 (1972) 1050.
142. [136] P. Möller, J.R. Nix, Nucl. Phys. A 361 (1981) 117.
143. [137] V.V. Pashkevich, Nucl. Phys. A 169 (1971) 275.
144. [138] J. Dudek, Z. Szymanski, T. Werner, A. Faessler, C. Lima, Phys. Rev. C 26 (1982) 1712.
145. [139] S.G. Nilsson, C.F. Tsang, A. Sobiczewski, Z. Szymanski, S. Wycech, G. Gustafson, I.-L. Lamm, P. Möller, B. Nilsson, Nucl. Phys. A 131 (1969) 1.
146. [140] G. Anderson, S.E. Larsson, G. Leander, P. Møller, S.G. Nilsson, I. Ragnarsson, S. Åberg, R. Dudek Bengtsson, J. B. Nerlo-Pomorska, K. Pomorski, Z. Szymanski, Nucl. Phys. A 268, 205 (1976).
147. [141] B.L. Anderson, F. Dickmann, K. Dietrich, Nucl. Phys. A 159 (1970) 337.
148. [142] U. Mosel, H.W. Schmitt, Phys. Rev. C 4 (1971) 2185.
149. [143] J. Maruhn, W. Greiner, Z. Phys. 251 (1972) 431.
150. [144] S. Yamaji, A. Iwamoto, Z. Phys. A 313 (1983) 161.
151. [145] W.D. Myers, W.J. Swiatecki, Ann. Phys. 55 (1969) 395, ibid. 84 (1974) 186.
152. [145] W.D. Myers, W.J. Swiatecki, Ann. Phys. 55 (1969) 395, ibid. 84 (1974) 186.
153. [146] H.J. Krappe, J.R. Nix, A.J. Sierk, Phys. Rev. C 20 (1979) 992.
154. [147] W.D. Myers, W.J. Swiatecki, Ann. Phys. 204 (1990) 401, ibid. 211 (1991) 292, see also Nucl. Phys. A 531 (1991) 93.
155. [147] W.D. Myers, W.J. Swiatecki, Ann. Phys. 204 (1990) 401, ibid. 211 (1991) 292, see also Nucl. Phys. A 531 (1991) 93.
156. [147] W.D. Myers, W.J. Swiatecki, Ann. Phys. 204 (1990) 401, ibid. 211 (1991) 292, see also Nucl. Phys. A 531 (1991) 93.
157. [148] U. Brosa, S. Grossmann, A. Müller, Z. Phys. A 325 (1986) 241; Z. Naturforschung 41a (1986) 1341.
158. [148] U. Brosa, S. Grossmann, A. Müller, Z. Phys. A 325 (1986) 241; Z. Naturforschung 41a (1986) 1341.
159. [149] V.V. Pashkevich, Nucl. Phys. A 477 (1988) 1; see also: The Shell Effects in Collective Degrees of Freedom, in: Yu.Ts. Oganessian, W. von Oertzen, R. Kalpakchieva (Eds.), Proc. of XV Int. EPS Nuclear Physics divisional Conference on Low Energy Nuclear Dynamics, April 1995, St. Petersburg; World Scientific, Singapore.
160. [149] V.V. Pashkevich, Nucl. Phys. A 477 (1988) 1; see also: The Shell Effects in Collective Degrees of Freedom, in: Yu.Ts. Oganessian, W. von Oertzen, R. Kalpakchieva (Eds.), Proc. of XV Int. EPS Nuclear Physics divisional Conference on Low Energy Nuclear Dynamics, April 1995, St. Petersburg; World Scientific, Singapore.
161. [150] P. Möller, J.R. Nix, W.J. Swiatecki, Nucl. Phys. A 492 (1989) 349.
162. [151] S. Ćwiok, P. Rozmej, A. Sobiczewski, Z. Patyk, Nucl. Phys. A 491 (1989) 281.
163. [152] S.E. Koonin, Nucl. Phys. A 574 (1994) 1c.
164. [153] G.F. Bertsch, P.F. Bortignon, R.A. Broglia, C. Dasso, Phys. Lett. B 80 (1979) 161.
165. [154] J. Wambach, V.K. Mishra, C.-H. Li, Nucl. Phys. A 380 (1982) 285.
166. [155] S. Kamerdzhiev, J. Speth, G. Tertychny, V. Tselyaev, Nucl. Phys. A 555 (1993) 90.
167. [156] S. Kamerdzhiev, J. Speth, G. Tertychny, Phys. Rev. Lett. 74 (1995) 3943.
168. [157] B. Schwesinger, J. Wambach, Nucl. Phys. A 426 (1984) 253.
169. [158] C. Yannouleas. Nucl. Phys. A 439 (1985) 336.
170. [159] W. Cassing, A. Peter, A. Pfitzner, Nucl. Phys. A 561 (1993) 133.
171. [160] F.V. Blasio, W. Cassing, M. Tohyama, P.F. Bortignon, R.A. Broglia, Phys. Rev. Lett. 68 (1992) 1663.
172. [161] W. Nörenberg, in: P.J. Brussard, J.H. Koch (Eds.), New Vistas in Nuclear Dynamics, Plenum, New York, 1986, p. 91.
173. [162] Y. Abe, S. Ayik, P.-G. Reinhard, E. Suraud, On stochastic approaches of nucler dynamics, YITP-95-18, to appear in Physics Reports.
174. [163] C.B. Dover, R.H. Lemmer, F.J.W. Hahne, Ann. Phys. 70 (1972) 458.
175. [164] S.P. Klevansky, R.H. Lemmer, Phys. Rev. C 28 (1983) 1763.
176. [165] H. Hofmann, C. Ngô, A.S. Jensen, P.J. Siemens, Proc. Conf. on Large Amplitude Collective Nuclear Motion, Kesztheley, Hungary, 1979.
177. [166] A.S. Jensen, J. Leffers, K. Reese, H. Hofmann, P.J. Siemens, Phys. Lett. B 117 (1982) 5.
178. [167] A.S. Jensen, P.J. Siemens, H. Hofmann, in: S.S. Wu, T.T.S. Kuo (Eds.), Nucleon-Nucleon Interaction and the Nuclear Many-Body Problem, World Scientific, Singapore, 1984.
179. [168] R. Alkofer, H. Hofmann, P.J. Siemens, Nucl. Phys. A 476 (1988) 213.
180. [169] P.J. Siemens, A.S. Jensen, in: R. Broglia, G.B. Hagemann, B. Herskind (Eds.), Single Particle Dynamics, Elsevier, Amsterdam, 1985.
181. [170] S. Yamaji, H. Hofmann, R. Samhammer, Nucl. Phys. A 475 (1988) 487.
182. [171] L. van Hove, Physica 21 (1955) 517.
183. [172] P.J. Johansen, P.J. Siemens, A.S. Jensen, H. Hofmann, Nucl. Phys. A 288 (1977) 152.
184. [173] A.S. Jensen, J. Leffers, H. Hofmann, P.J. Siemens, Phys. Scripta T5 (1983) 186.
185. [174] A.S. Jensen, K. Reese, H. Hofmann, P.J. Siemens, Physics and Chemistry of Fission, Jülich 1979, IAEA, Vienna, SM/241-H4.
186. [175] D. Pines, P. Nozières, The Theory of Quantum Liquids, W.A. Benjamin, New York, 1966.
187. [176] G. Baym, C.J. Pethick, Landau Fermi Liquid Theory, Wiley, New York, 1991.
188. [177] J.P. Jeukenne, A. Lejeune, C. Mahaux, Phys. Rep. 25 C (1976) 83.
189. [178] J.W. Negele, H. Orland, Quantum Many-Particle Systems, Addison-Wesley, Reading, MA, 1987.
190. [179] C. Mahaux, P.F. Bortignon, R.A. Broglia, C. Dasso, Phys. Rep. 120 (1985) 1.
191. [180] C. Mahaux, H. Ngo, Phys. Lett. B 100 (1981) 285.
192. [181] G.E. Brown, M. Rho, Nucl. Phys. A 372 (1981) 397.
193. [182] G.F. Bertsch, Z. Phys. A 289 (1978) 103.
194. [183] W. Nörenberg, Nucl. Phys. A 459 (1986) 77.
195. [184] R. Alkofer, Diploma Thesis, Technical University Munich, 1985.
196. [185] G.F. Bertsch, P.F. Bortignon, R.A. Broglia, Rev. Mod. Phys. 55 (1983) 287.
197. [186] N. Auerbach, A. Klein, Nucl. Phys. A 452 (1986) 398.
198. [187] I.S. Gradsshteyn, I.M. Ryzhik, Table of Integrals, Series and Products, Academy Press, London, 1965.
199. [188] A.S. Jensen, J. Leffers, K. Reese, P.J. Siemens, Phys. Lett. B 117 (1982) 157.
200. [189] D. Agassi, C.M. Ko, H.A. Weidenmüller, Ann. Phys. (NY) 107 (1977) 140; ibid 117 (1979) 407.
201. [189] D. Agassi, C.M. Ko, H.A. Weidenmüller, Ann. Phys. (NY) 107 (1977) 140; ibid 117 (1979) 407.
202. [190] C.M. Ko, D. Agassi, H.A. Weidenmüiler, Ann. Phys. (NY) 117 (1979) 237.
203. [191] A. Bulgac, G. Do Dang, D. Kusnezov, Phys. Rev. E54 (1996) 3468.
204. [192] J. Trost, Diploma Thesis, TU-Munich, 1994.
205. [193] C.M. Ko, H.J. Pirner, H.A. Weidenmüller, Phys. Lett. B 62 (1976) 248.
206. [194] A. Bohr, B.R. Mottelson, Nuclear Structure, vol. I, Benjamin, London, 1969.
207. [195] H.A. Bethe, Rev. Mod. Phys. 9 (1937) 69.
208. [196] H. Feshbach, Physics Today (Nov. 1987) 9 and IEEE J. Quant. Electron., 24 (1988) 1320.
209. [197] R. Becker, Theorie der Wärme, Springer, Berlin, 1964.
210. [198] J. Lindhard, Complementarity between energy and temperature, in: J. de Boer, E. Dal, O. Ulfbeck (Eds.), The lesson of quantum theory, Elsevier, Amsterdam, 1986.
211. [199] M. Brack, P. Quentin, Phys. Scripta A 10 (1974) 163; Phys. Lett. B 52 (1974) 159.
212. [199] M. Brack, P. Quentin, Phys. Scripta A 10 (1974) 163; Phys. Lett. B 52 (1974) 159.
213. [200] P. Bonche, S. Levit, D. Vautherin, Nucl. Phys. A 436 (1985) 265.
214. [201] S. Shlomo, J.B. Natowitz, Phys. Lett. B 252 (1990) 187. Phys. Rev. C 44 (1991) 2878.
215. [201] S. Shlomo, J.B. Natowitz, Phys. Lett. B 252 (1990) 187. Phys. Rev. C 44 (1991) 2878.
216. [202] G. Sauer, H. Chandra, U. Mosel, Nucl. Phys. A 264 (1976) 221.
217. [203] L. Moretto, Phys. Lett. B 58 (1975) 26; Nucl. Phys. A 182 (1972) 641.
218. [203] L. Moretto, Phys. Lett. B 58 (1975) 26; Nucl. Phys. A 182 (1972) 641.
219. [204] A.S. Jensen, J. Damgaard, Nucl. Phys. A 203 (1973) 578.
220. [205] S.K. Kataria, V.S. Ramamurthy, S.S. Kapoor, Phys. Rev. C 18 (1978) 549.
221. [206] H.W. Schmitt, M.G. Mustafa, Physics and Chemistry of Fission, Rochester 1973, IAEA, Vienna, (1974) vol. I, p. 421.
222. [207] O. Civitarese, A.L. De Paoli, A. Plastino, Z. Phys. A, Atoms and Nuclei 311 (1983) 317.
223. [208] S. Frauendorf, V.V. Pashkevich, Dubna preprint E17-95-324, contribution to: NATO Advanced Study Institute, Int. School of Solid State Physics, 6th Course: Large Clusters of Atoms and Molecules, E. Majorana Centre for Scientific Culture, Erice/Sicily: June 19-29, 1995.
224. [209] V.M. Strutinsky, A.G. Magner, Sov. J. Part. Nucl. 7 (1976) 138.
225. [210] A.G. Magner, V.M. Kolomietz, V.M. Strutinsky, Izvest. Akademi Nauk SSSR, Seria Fizicheskaya 43 (11) (1979) 2408; see also V.M. Kolomietz, A.G. Magner, V.M. Strutinsky, Yad. Fiz. 29 (1979) 1478.
226. [210] A.G. Magner, V.M. Kolomietz, V.M. Strutinsky, Izvest. Akademi Nauk SSSR, Seria Fizicheskaya 43 (11) (1979) 2408; see also V.M. Kolomietz, A.G. Magner, V.M. Strutinsky, Yad. Fiz. 29 (1979) 1478.
227. [211] V.M. Strutinsky, A.G. Magner, S.R. Ofengenden, T. Døssing, Z. Phys. A 283 (1977) 269.
228. [212] M. Gutzwiller, J. Math. Phys. 8 (1967) 1979; 12 (1971) 343.
229. [212] M. Gutzwiller, J. Math. Phys. 8 (1967) 1979; 12 (1971) 343.
230. [213] R. Balian, C. Bloch, Ann. Phys. (NY) 85 (1974) 514.
231. [214] X. Campi, S. Stringari, Z. Phys. A 309 (1983) 239.
232. [215] M. Brack, C. Guet, H.B. Håkansson, Phys. Reports 123 (1985) 275.
233. [216] C. Guet, E. Strumberger, M. Brack, Phys. Lett. B 205 (1988) 427.
234. [217] R. Vandenbosch, J.R. Huizenga, Nuclear Fission, Academy Press, London, 1973.
235. [218] R.W. Hasse, P. Schuck, Phys. Lett. B 179 (1986) 313.
236. [219] P.F. Bortignon, C. Dasso, Phys. Lett. B 189 (1987) 381.
237. [220] D. Kiderlen, Diploma Thesis, TU Munich, 1990.
238. [221] W. Brenig, Statistical Theory of Heat, Nonequlibrium Phenomena, Springer, Berlin, 1989.
239. [222] E. Fick, G. Sauermann, Quantenmechanik dynamischer Prozesse Band Ila, Harri Deutsch, Thun, 1986; cf. also The Quantum Mechanics of Dynamical Processes, Springer, Berlin, 1990.
240. [222] E. Fick, G. Sauermann, Quantenmechanik dynamischer Prozesse Band Ila, Harri Deutsch, Thun, 1986; cf. also The Quantum Mechanics of Dynamical Processes, Springer, Berlin, 1990.
241. [223] A.S. Davydov, Quantum Mechanics, Pergamon, Oxford, 1965.
242. [224] K. Hara, Y. Sun, Int. J. Mod. Phys. E (1995, December issue).
243. [225] O. Bohigas, H.A. Weidenmüller, Ann. Rev. Nucl. Part. Sci. 38 (1984) 421.
244. [226] S. Yamaji, F.A. Ivanyuk, H. Hofmann, Nucl. Phys. A 612 (1997) 1.
245. [227] H. Goldstein, Classical Mechanics, Addison-Wesley, Reading, MA, 1980.
246. [228] S. Yamaji, A.S. Jensen, H. Hofmann, Progr. Theor. Phys. 92 (1994) 773.
247. [229] S.G. Nilsson, Dan. Mat. Fys. Medd. 29 (1955) No. 16.
248. [230] W. Werner, H.S. Wio, H. Hofmann, K. Pomorski, Z. Phys. A 299 (1981) 231.
249. [231] K. Pomorski, H. Hofmann, Phys. Lett. B 263 (1991) 164.
250. [232] J.R. Nix, A.J. Sierk, A New Picture of Dissipation in Fission and Heavy Ion Collisions, Workshop on Nuclear Dynamics IV, Copper Mountain Co, USA, Febr. 1986; LA-UR-86-698.
251. [233] S. Ayik, W. Nörenberg, Z, Phys. A 309 (1982) 121.
252. [234] V.I. Abrosimov, J. Randrup, Nucl. Phys. A 449 (1986) 446; ibid A 489 (1988) 412.
253. [234] V.I. Abrosimov, J. Randrup, Nucl. Phys. A 449 (1986) 446; ibid A 489 (1988) 412.
254. [235] V.I. Abrosimov, V.M. Kolomietz, Phys. At. Nucl. 56(9) (1993) 1208.
255. [236] S.E. Koonin, J. Randrup, Nucl. Phys. A 289 (1977) 475.
256. [237] V.I. Abrosimov, H. Hofmann, Nucl. Phys. A 578 (1994) 317.
257. [238] P.J. Feibelman, Ann. Phys. 48 (1968) 369.
258. [239] Yu.B. Ivanov, J. Exp. Theor. Phys. (USSR) 81 (1981) 977.
259. [240] A.G. Magner, H. Hofmann, V.M. Kolomietz, S. Shlomo, Phys. Rev. C 51 (1995) 2457.
260. [241] A.G. Magner, V.M. Strutinsky, Z. Phys. A 322 (1985) 633.
261. [242] V.M. Strutinsky, A.G. Magner, M. Brack, Z. Phys. A 319 (1984) 205.
262. [243] A.G. Magner, H. Hofmann, to be published.
263. [244] A.G. Magner, S. Vydrug-Vlasenko, H. Hofmann, Nucl. Phys. A 524 (1991) 31.
264. [245] R. Balian, C. Bloch, Ann. Phys. (NY) 69 (1972) 76.
265. [246] H. Hofmann, F.A. Ivanyuk, S. Yamaji, Strutinsky smoothing and the macroscopic limit of collective motion, in: Inv. Talk at the 4th KINR Int. School on Nuclear Physics, Kiev, Aug. 19-Sept. 7, 1994.
266. [247] J. Blocki, Y. Boneh, J.R. Nix, J. Randrup, M. Robel, A.J. Sierk, W.J. Swiatecki, Ann. Phys. 113, 330 (1978).
267. [248] H. Hofmann, F.A. Ivanyuk, to be published.
268. [249] J. Blocki, J.-J. Shi, W.J. Swiatecki, Nucl. Phys. A 554 (1993) 387.
269. [250] J. Blocki, J. Skalski, W.J. Swiatecki, Nucl. Phys. A 594 (1995) 137.
270. [251] B.W. Bush, G.F. Bertsch, B.A. Brown, Phys. Rev. C 45 (1992) 1709.
271. [252] H. Hofmann, G.-L. Ingold, M. Thoma, Phys. Lett. B 317 (1993) 489.
272. [253] R.P. Feynman, A.R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York, 1965.
273. [254] R.P. Feynman, Statistical Mechanics, Addison-Wesley, Reading, MA, 1988.
274. [255] P. Hänggi, P. Talkner, M. Borkovec, Rev. Mod. Phys. 62 (1990) 251.
275. [256] P. Fröbrich, G.-R. Tillack, Nucl. Phys. A 540 (1992) 353.
276. [257] P.G. Wolynes, Phys. Rev. Lett. 47 (1981) 968.
277. [258] H. Hofmann, J.R. Nix, Phys. Lett. B 122 (1983) 117.
278. [259] H. Hofmann, D. Kiderlen, Statistical fluctuations for the fission process on its descent from saddle to scission, to be published.
279. [260] E.H. Hauge, J.A. Støvneng, Rev. Mod. Phys. 61 (1989) 917.
280. 2) dx, Mapleton House, New York, 1948.
281. [262] D. Hilscher, H. Rossner, Ann. Phys. Fr. 17 (1992) 471.
282. [263] D. Hilscher, I.I. Gontchar, H. Rossner, Physics of Atomic Nuclei 57 (1994) 1187-1199.
283. [264] D.J. Hofman, B.B. Back, P. Paul, Phys. Rev. C 51 (1995) 2597.
284. [265] P. Paul, M. Thoennessen, Ann. Rev. Part. Nucl. Sci. 44 (1994) 65.
285. [266] D.J. Hofman, B.B. Back, I. Diószegi, C.P. Montoya, S. Schadmand, R. Varma, P. Paul, Phys. Rev. Lett. 72 (1994) 470.
286. [267] M. Thoennessen, Nucl. Phys. A 599 (1996) 1c.
287. [268] J.P. Lestone, J.R. Leigh, J.O. Newton, D.J. Hinde, J.X. Wei, J.X. Chen, S. Elfstrom, D.G. Popescu, Phys. Rev. Lett. 67 (1991) 1078.
288. [269] J.P. Lestone, Phys. Rev. Lett. 70 (1993) 2245.
289. [270] J.P. Lestone, Tours Symposium on Nuclear Physics II, World Scientific, Singapore (1995) ISBN 981-02-2156, pp. 458-469.
290. [271] J.P. Lestone, to be published.
291. [272] V.M. Strutinsky, Phys. Lett. B 47 (1973) 121.
292. [273] V.M. Strutinsky, A.G. Magner, V.Yu Denisov, Z. Phys. A 322 (1985) 149.
293. [274] C.J. Pethick, D.G. Ravenhall, Ann. Phys. (NY) 183 (1988) 131.
294. [275] H. Heiselberg, C.J. Pethick, D.G. Ravenhall, Ann. Phys. (NY) 223 (1993) 37.
295. [276] L.D. Landau, E.M. Lifschitz, Course of Theoretical Physics, vol. 6, Fluid Mechanics, Pergamon, Oxford, 1963.
296. [277] A.A. Abrikosov, I.M. Khalatnikov, Rep. Progr. Phys. 22 (1959) 329.
297. [278] M. Bixon, R. Zwanzig, Phys. Rev. 187 (1969) 267.
298. [279] S. Ayik, C. Grègoire, Nucl. Phys. A 513 (1990) 187.
299. [280] J. Randrup, B. Remaud, Nucl. Phys. A 514 (1990) 339.
300. [281] H.J. Krappe, Nucl. Phys. A 505 (1989) 417.
301. [282] L.P. Kadanoff, G. Baym, Quantum Statistical Mechanics, Benjamin, 1962.
302. [283] A.L. Fetter, J.D. Walecka, Quantum Theory of Many-Particle Systems, McGraw-Hill, New York, 1971.
303. [284] S. Nakajima, Prog. Theor. Phys. 20 (1958) 948; R. Zwanzig, J. Chem. Phys. 33 (1960) 1338.
304. [284] S. Nakajima, Prog. Theor. Phys. 20 (1958) 948; R. Zwanzig, J. Chem. Phys. 33 (1960) 1338.
305. [285] F. Haake, Statistical Treatment of Open Systems by Generalized Master Equations, Springer Tracts in Modern Physics, vol. 66, Heidelberg, 1973, 98.
306. [286] M. Brack, B. Jennings, R.K. Bhaduri, Phys. Rev. Lett. 34 (1975) 228.
307. [287] F.A. Ivanyuk, V.M. Strutinsky, Z. Phys. A 293 (1979) 337.