Abstract
We investigate truncation schemes for the many-body dynamics of finite fermion systems beyond the time-dependent Hartree-Fock (TDHF) approximation. One approach starts from the quantum Bogolyubov-Born-Green-Kirkwood-Yvon (BBGKY-)hierarchy of equations of motion for density matrices. It is shown that simple truncation of higher correlations within this scheme is inconsistent because essential exchange correlations are lost. As an alternative, we study the (extended) exp(S) or coupled-cluster formalism. It provides a wider range of applicability. But it also runs into problems with non-unitary propagation after truncation.
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References
Wong, C.Y., Tang, H.H.: Phys. Rev. Lett.40, 1070 (1978)
Orland, H., Schaeffer, R.: Z. Phys. A — Atoms and Nuclei290, 191 (1979)
Grangé, P., Weidenmüller, H.A., Wolschin, G.: Ann. Phys. (N.Y.)136, 190 (1981)
Wang, S.J., Cassing, W.: Ann. Phys. (N.Y.)159, 328 (1985)
Danielewicz, P.: Phase space approach to nuclear dynamics. Topical Meeting, Trieste, Italy, p. 37. Singapore: World Scientific 1986
Cassing, W., Wang, S.J.: Z. Phys. A — Atomic Nuclei328, 423 (1987)
Ando, K., Ikeda, A., Holzwarth, G.: Z. Phys. A — Atoms and Nuclei310, 223 (1983)
Nemes, M.C., de Toledo Piza, A.F.R.: Z. Phys. A — Atoms and Nuclei10, 339 (1983)
Yannouleas, C., Dworzecka, M., Griffin, J.J.: Nucl. Phys. A397, 239 (1983)
Ayik, S., Dworzecka, M.: Nucl. Phys. A440, 424 (1985)
Reinhard, P.-G., Yadav, H.L., Toepffer, C.: Nucl. Phys. A458, 301 (1986)
Toepffer, C., Reinhard, P.-G.: Ann. Phys. (N.Y.)181, 1 (1988)
Suraud, E., Pi, M., Schuck, P.: Nucl. Phys. A492, 294 (1990)
Tohyama, M., Gong, M.: Z. Phys. A — Atomic Nuclei332, 269 (1989)
Adachi, S., Schuck, P.: Nucl. Phys. A496, 485 (1989)
Uehling, E.A., Uhlenbeck, G.E.: Phys. Rev.43, 552 (1933)
Hofmann, H., Siemens, P.J.: Nucl. Phys. A275, 464 (1977)
Buck, P., Feldmeier, H.: Phys. Lett.129B, 172 (1983)
Reinhardt, H., Balian, R., Alhassid, Y.: Nucl. Phys. A422, 349 (1984)
Balescu, R.: Equilibrium and non-equilibrium statistical mechanics, Chaps. 3 and 14. New York: Wiley-Interscience 1975
Martin, P.C., Schwinger, J.: Phys. Rev.115, 1342 (1959)
Arponen, J., Bishop, R.F., Pajanne, E.: Phys. Rev. A36, 2519, 2539 (1987)
Coester, F., Kümmel, H.: Nucl. Phys.17, 477 (1960)
Arponen, J.: Ann. Phys. (N.Y.)151, 311 (1983)
Robinson, N.I., Bishop, R.F., Arponen, J.: Phys. Rev. A40, 4256 (1989)
Lipkin, H.J., Meshkov, N., Glick, A.J.: Nucl. Phys.62, 188 (1965)
Schmitt, K.-J.: Dynamik von Korrelationen in endlichen Fermionensystemen — reguläres und chaotisches Verhalten. Thesis, Erlangen 1988
Mosel, U., Zint, P.-G., Passler, K.H.: Nucl. Phys. A236, 252 (1974)
Hoodbhoy, P., Negele, J.W.: Phys. Rev. C18, 2380 (1978); C19, 1971 (1979)
Cassing, W.: Private communication
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Dedicated to Professor Friedel Sellschop on the occasion of his 60th birthday
We thank Prof. H. Kümmel for valuable discussions.