Abstract
Proceeding from a least-action principle, a generalization of the random-phase approximation is developed which is suited to the description of elementary excitations in such strongly-interacting Fermi systems as nuclei, nuclear matter, neutron-star matter and liquid3He. The equations of the theory involve matrix elements of the Hamiltonian and identity operators in a nonorthogonal basis of states incorporating short-range correlations. Linear response of the dynamically correlated system to a weak external perturbation is investigated within the same framework.
Similar content being viewed by others
References
Pines, D.: The many-body problem. New York: Benjamin 1961
Pines, D., Nozières, P.: The theory of quantum liquids. New York: Benjamin 1966
Brown, G.E.: Unified theory of nuclear models and forces. 2nd ed. Amsterdam: North-Holland 1971
Brown, G.E.: Many-body problems. Amsterdam: North-Holland 1972
Rowe, D.J.: Nuclear collective motion. London: Methuen 1970
Ring, P., Schuck, P.: The nuclear many-body problem. Berlin: Springer 1980
Clark, J.W., Westhaus, P.: Phys. Rev.141, 833 (1966)
Feenberg, E.: Theory of quantum fluids. New York: Academic Press 1969
Clark, J.W., Mead, L.R., Krotscheck, E., Kürten, K.E., Ristig, M.L.: Nucl. Phys. A328, 45 (1979)
Krotscheck, E., Smith, R.A., Clark, J.W.: Recent progress in many-body theories. Lecture Notes in Physics. Zabolitzky, J.G., de Llano, M., Fortes, M., Clark, J.W. (eds.). Vol. 142, p. 270. Berlin, Heidelberg, New York: Springer 1981
Clark, J.W.: The many-body problem, Jastrow correlations versus Brueckner theory. Lecture Notes in Physics. Guardiola, R., Ros, J. (eds.). Vol. 138, p. 184. Berlin: Springer 1981
Sandler, D.G., Kwong, N.-H., Clark, J.W., Krotscheck, E.: Recent progress in many-body theories. Lecture Notes in Physics. Zabolitzky, J.G., de Llano, M., Fortes, M., Clark, J.W. (eds.). Vol. 142, p. 228. Berlin, Heidelberg, New York: Springer 1981
Kerman, A.K., Koonin, S.E.: Ann. Phys.100, 332 (1976)
Koonin, S.E.: Progress in particle and nuclear physics. Wilkinson, D.H. (ed.). Vol. 4, p. 283. Oxford: Pergamon Press 1980
Lichtner, P.C., Griffin, J.J., Schultheis, H., Schultheis, R., Volkov, A.B.: University of Maryland technical report no. 79-010, 1978 (unpublished)
Lichtner, P.C., Griffin, J.J., Schultheis, H., Schultheis, R., Volkov, A.B.: Phys. Rev. C20, 845 (1979)
Kramer. P., Saraceno, M.: Geometry of the time-dependent variational principle in quantum mechanics. Lecture Notes in Physics. Vol. 140. Berlin, Heidelberg, New York: Springer 1981
Clark, J.W.: Progress in particle and nuclear physics. Wilkinson, D.H. (ed.), Vol. 2, p. 89. Oxford: Pergamon Press 1979
Krotscheck, E., Clark, J.W.: Nucl. Phys. A328, 73 (1979)
Krotscheck, E., Ristig, M.L.: Nucl. Phys. A242, 389 (1975)
Krotscheck, E.: Phys. Lett.54 A, 123 (1975)
Fantoni, S., Rosati, S.: Nuovo Cim.25 A, 593 (1975)
Fantoni, S., Friman, B., Pandharipande, V.R.: (to be published)
Pandharipande, V.R., Wiringa, R.B.: Rev. Mod. Phys.51, 831 (1979)
Wiringa, R.B., Pandharipande, V.R.: Nucl. Phys. A317, 1 (1979)
Clark, J.W., Westhaus, P.: J. Math. Phys.9, 131, 149 (1968)
Clark, J.W., Mead, L.R.: Phys. Lett.90 B, 331 (1980)
Guardiola, R.: Nucl. Phys. A328, 490 (1979)
Guardiola, R., Polls, A.: Nucl. Phys. A342, 385 (1980)
Guardiola, R.: Recent progress in many-body theories. Lecture Notes in Physics. Zabolitzky, J.G., de Llano, M., Fortes, M., Clark, J.W. (eds.). Vol. 142, p. 398. Berlin, Heidelberg, New York: Springer 1981
Guardiola, R., Faessler, A., Müther, H., Polls, A.: Nucl. Phys. A371, 79 (1981)
Morse, P.M., Feshbach, H.: Methods of theoretical physics. Part II. New York: McGraw-Hill 1953
Krotscheck, E., Kümmel, H., Zabolitzky, J.G.: Phys. Rev. A22, 1243 (1980)
Krotscheck, E., Clark, J.W.: The many-body problem, Jastrow correlations versus Brueckner theory. Lecture Notes in Physics. Guardiola, R., Ros, J. (eds.). Vol. 138, p. 356. Berlin, Heidelberg, New York: Springer 1981
Frenkel, J.: Wave mechanics, advanced general theory. Oxford: Clarendon 1934
Thouless, D.J.: The quantum mechanics of many-body systems, 2nd ed. New York: Academic Press 1972
Dirac, P.A.M.: Proc. Camb. Phil. Soc.26, 376 (1930)
Krotscheck, E., Smith, R.A., Jackson, A.D.: Phys. Rev. B24, 6404 (1981)
Blaizot, J.P.: Phys. Rep. C64, 171 (1980)
Sandler, D.G., Krotscheck, E., Clark, J.W.: (to be published)
Author information
Authors and Affiliations
Additional information
On leave from Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125, USA
We thank O. Bohigas, J. Martorell, S.E. Koonin and E. Krotscheck for helpful comments. This research was supported in part by the U.S. National Science Foundation under Grant Nos. DMR 80-08229 at Washington University, Grant Nos. DMR 78-21068 and PHY 78-26582 at the University of Illinois and Grant No. PHY 79-23638 at Caltech.
Rights and permissions
About this article
Cite this article
Chen, J.M.C., Clark, J.W. & Sandler, D.G. An extension of RPA theory to strongly-interacting systems. Z Physik A 305, 223–229 (1982). https://doi.org/10.1007/BF01417438
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01417438