Abstract
Using the path integral formalism and a model based on statistical arguments, we derive the correlation function which enters the description of a one-dimensional collective system coupled to an intrinsic system in terms of transport concepts. The derivation shows a finite time dependence of the correlation function in contradistinction to a former calculation. We discuss some points related to the derivation and estimate the relaxation times which characterise the memory effects in both cases of weak and strong coupling.
Similar content being viewed by others
References
Nörenberg, W.: Nucl. Phys. A409, 191 c (1983)
Nörenberg, W.: Phys. Lett.53 B, 298 (1974)
Moretto, L.G., Schmitt, R.: European Conference on Nuclear Physics with Heavy Ions, Caen (France). J. Phys. C5 (1976)
Wolschin, G., Nörenberg, W.: Z. Phys. A — Atoms and Nuclei284, 209 (1978)
Berlanger, M., Grangé, P., Hofmann, H., Ngô, C., Richert, J.: Z. Phys. A — Atoms and Nuclei286, 207 (1978)
Gross, D.H.E., Hartmann, K.M.: Phys. Rev. C24, 2526 (1981)
Grossmann, S., Krappe, H.J.: Z. Phys. A — Atoms and Nuclei298, 41 (1981)
Brosa, U.: 14th Summer School on Nuclear Physics, Mikolaji/Poland 1981
Scheuter, F., Hofmann, H.: Nucl. Phys. A394, 477 (1983)
Grangé, P., Li Ju-Qing, Weidenmüller, H.A.: Phys. Rev. C27, 2063 (1983)
Ayik, S., Schürmann, B., Nörenberg, W.: Z. Phys. A — Atoms and Nuclei277, 299 (1976)
Ayik, S., Schürmann, B., Nörenberg, W.: Z. Phys. A — Atoms and Nuclei279, 145 (1976)
Hofmann, H., Siemens, P.J.: Nucl. Phys. A275, 464 (1977)
Agassi, D., Ko, C.M., Weidenmüller, H.A.: Ann. Phys. (NY)107, 140 (197
Ko, C.M., Agassi, D., Weidenmüller, H.A.: Ann. Phys. (NY)117, 407 (1979)
Brink, D.M., Neto, J., Weidenmüller, H.A.: Phys. Lett.80 B, 170 (1979)
Nemes, M.C., Weidenmüller, H.A.: Phys. Rev. C24, 450 (1981)
Nemes, M.C., Weidenmüller, H.A.: Phys. Rev. C24, 944 (1981)
Richert, J., Sami, T., Weidenmüller, H.A.: Phys. Rev. C26, 1018 (1982)
Feynman, A.P., Hibbs, A.R.: Quantum mechanics and path integrals. Chap. 12. New York: McGraw Hill 1965
Pechukas, P.: Phys. Rev.181, 174 (1969)
Richert, J.: Lecture Notes on Transport Phenomena, Ecole Joliot-Curie de Physique Nucléaire, Bombannes, IN2 P3 Paris (1982)
Weidenmüller, H.A.: Progress in particle and nuclear physics. Wilkinson, D.H. (ed.), Vol. 3, p. 49. Oxford: Pergamon Press 1980
Mukamel, S., Smilansky, U., Gross, D.H.E., Möhring, K., Sobel, M.I.: Nucl. Phys. A366, 339 (1981)
Gross, D.H.E., Möhring, K., Mukamel, S., Smilansky, U., Sobel, M.I.: Nucl. Phys. A378, 375 (1982)
Saloner, D., Weidenmüller, H.A.: Z. Phys. A — Atoms and Nuclei294, 207 (1980)
Grossmann, S.: Z. Phys. B — Condensed Matter47, 251 (1982)
Fox, R.F.: Phys. Lett.94A, 281 (1983)
Author information
Authors and Affiliations
Additional information
The authors acknowledge interesting discussions and helpful suggestions from H.A. Weidenmüller and D.M. Brink.
Rights and permissions
About this article
Cite this article
Sami, T., Richert, J. Time dependence of the transport coefficients in a path integral approach to large amplitude collective motion. Z Physik A 317, 101–105 (1984). https://doi.org/10.1007/BF01420453
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01420453