- Autor(in)
- Referenz
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10 See for example: A. Bohr, B. R. Mottelson, "Nuclear Structure", two vols., W. A. Benjamin, Inc., New York (1969, 1975)
11 P. Kahn, N. Rosenzweig, Phys. Rev. 187 (1969) 1193
12 V. G. Kac, "Infinite Dimensional Lie Algebras", Cambridge Uni v. Press, 1985
13 A. Anzaldo-Meneses, Jour. Stat. Phys. 75 (1994) 297
14 R. Denton, B. Mühlschlegel, D. J. Scalapino, Phys. Rev. Lett. 26 (1971) 707;
1 T. Ericson, Adv. Phys. 9 (1960) 425;
2 H. A. Bethe, Phys. Rev. 50 (1936) 332
3 N. Bohr, F. Kalkar, Math. fys. Medd. 14 (1937) 1
4 C. van Lier, G. E. Uhlenbeck, Physica 4 (1937) 531
5 S. Goudsmidt, Phys. Rev. 51 (1937) 64
6 G. H. Hardy, S. Ramanujan, Proc. London Math. Soc. (2), 17 (1918) 75
7 L. Euler, "De Partitione Numerorum", Novi Commentari Academiae Scientarum Petropolitanae, vol. 3 (1950) p. 125
8 H. Rademacher, Proc. London Math. Soc. (2), 43 (1937) 241;
9 H. Rademacher, H. Zuckermann, Ann. Math. 39 (1938) 433
A. Anzaldo-Menskes, "Analytic Number Theory and the Nuclear Level Density", IAEA, INDC(GER)-038/G, Vienna, 1993
A. S. Iljinov et al., Nucl. Phys. A543 (1992) 517;
A. v. Ignatyuk, "Statistical Properties of Excited Atomic Nuclei", IAEA, INDC(CCP)-233/L, Vienna, 1985;
G. E. Andrews, "The Theory of Partitions", Addison-Wesley, Reading Mass, 1976
H. Rademacher, "Topics in Analytic Number Theory", Springer Verlag, Berlin, 1973;
J. R. Huizenga, L. G. Moretto, Ann. Rev. Nucl. Sci. 22 (1972) 427;
Phys. Rev. B7 (1973) 3589
V. S. Ramamurthy, in "Workshop on Applied Nuclear Theory and Nuclear Model Calculations", M. K. Metha, J. J. Schmidt (eds.), Singapore (World Scientific Publ., 1989);
- Seitenbereich
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0068 - 0073
- Schlagwort(e)
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<KWD>Nuclear level density
partition functions
shell effects
- Zusammenfsg.
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The total nuclear level density is obtained for periodic single particle spectra. First, we express the canonical partition function in terms of Jacobi theta functions for degenerated fermion systems. Secondly, we use a relation for the number of representations of an integer number as sums of smaller numbers to find an exact formula for the nuclear level density. The shell structure is incorporated in the result in a simple way. An asymptotic relation can be easily obtained from the exact result and shown to be the well known back-shifted Bethe-formula.
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