Abstract:
A kinetic equation in operator form for the one body density matrix is derived by means of a convenient truncation of the quantal Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy. Using projection techniques in a procedure similar to the derivation of the master equation, the evolution of the diagonal and the nondiagonal terms of the density matrix can be disentangled. A quantal, non-Hermitian master equation for the diagonal part is extracted and it is seen that corrections to the collision frequency or to the relaxation time arise as a consequence of the creation and destruction of incoherent events. NUCLEAR REACTIONS Reduced one body density matrix, BBGKY hierarchy, quantal kinetic equation, coupling between probabilistic and interference matrix element, collision frequency and relaxation time, dynamical quantal corrections. © 1982 The American Physical Society.
Referencias:
- Eisenberg, J.M., Greiner, W., (1972) Nuclear Theory, 1. , North-Holland, Amsterdam
- Nörenberg, W., (1974) Phys. Lett., 53 B, p. 289
- Nörenberg, W., (1975) Z. Phys. A, 274, p. 24
- Nörenberg, W., (1976) J. Phys., 37, pp. C5-C141
- Nörenberg, W., Weidenmuller, H.A., (1976) Lecture Notes in Physics, 51. , Springer, Berlin
- Thouless, D.J., Valatin, J.G., (1962) Nucl. Phys., 31, p. 211
- Villars, J., (1967) Nucl. Phys., 285 A, p. 269
- Bonche, P., Koonin, S.E., Negele, J.W., (1976) Phys. Rev. C, 13, p. 1226
- Koonin, S.E., Kerman, A.K., (1976) Ann. Phys. (N.Y.), 100, p. 332
- Goeke, K., Reinhard, P.G., (1978) Ann. Phys. (N.Y.), 112, p. 328
- Baranger, M., Veneroni, M., (1978) Ann. Phys. (N.Y.), 114, p. 123
- Köhler, H.S., Flocard, H., (1979) Nucl. Phys., 323 A, p. 189
- Flocard, H., Koonin, S.E., Weiss, M.S., (1978) Phys. Rev. C, 17, p. 1681
- Davies, K.T.R., Sandhya Devi, K.R., Strayer, M.R., (1980) Phys. Rev. Lett., 44, p. 23
- Goeke, R., Reinhard, P.G., Rowe, D.J., (1981) Nucl. Phys., 359 A, p. 403
- Dasso, C.H., Døssing, T., Pauli, H.C., (1979) Z. Phys. A, 289, p. 395
- Lichtner, P.C., Dworzecka, M., Kan, K.K., Griffin, J.J., University of Maryland; Martin, P.C., Schwinger, J., (1959) Phys. Rev., 115, p. 1342
- Kadanoff, L.P., Baym, G., (1962) Quantum Statistical Mechanics, , Benjamin, New York
- Wong, C.Y., Tang, H.H.K., (1978) Phys. Rev. Lett., 40, p. 1070
- Orland, H., Schaeffer, R., (1979) Z. Phys., 290 A, p. 191
- Köhler, H.S., (1980) Nucl. Phys., 343 A, p. 315
- Ayik, S., (1980) Z. Phys., A, 298, p. 83
- Uehling, E.A., Uhlembeck, G.E., (1933) Phys. Rev., 43, p. 552
- Green, H.S., (1953) Proc. Phys. Soc. London A, 66, p. 325
- Green, H.S., (1956) J. Chem. Phys., 25, p. 836
- Yvon, J., (1958) C. R. Acad. Sci., 246, p. 2850
- Ayik, S., Nörenberg, W., (1980) Z. Phys. A, 297, p. 55
- Ayik, S., Nörenberg, W., (1978) Z. Phys. A, 288, p. 401
- Nakajima, S., On Quantum Theory of Transport Phenomena (1958) Progress of Theoretical Physics, 20, p. 948
- Zwanzig, R.W., (1961) Lectures in Theoretical Physics, 3. , edited by, W. E. Brittin, B. W. Dows, J. Dows, Interscience, New York
- Balescu, R., (1975) Equilibrium and Nonequilibrium Statistical Mechanics, , Wiley, New York
- Prigogine, J., George, A., Henin, F., (1969) Physica, 45, p. 418
- Balescu, R., Wallenborn, J., (1971) Physica, 54, p. 477
- George, Prigogine, I., Rosenfeld, L., (1972) K. Dan. Vidensk. Selsk. Mat. Fys. Medd, 38 (12)
- Fano, U., (1957) Rev. Mod. Phys., 29, p. 74
- Prigogine, J., (1962) Nonequilibrium Statistical Mechanics, , Interscience, New York
- Haake, F., (1973) Springer Tracts in Modern Physics, 66. , Springer, Berlin
- Collins, M.E., Griffin, J.J., Mean free path of nucleons in a Fermi gas at finite temperature (1980) Nuclear Physics A, 348 A, p. 63
- Hernández, E.S., Solari, A.,
Citas:
---------- APA ----------
Dorso, C.O. & Hernãndez, E.S.
(1982)
. Lifetime of interference effects in collisional time-dependent Hartree-Fock dynamics. Physical Review C, 26(2), 528-541.
http://dx.doi.org/10.1103/PhysRevC.26.528---------- CHICAGO ----------
Dorso, C.O., Hernãndez, E.S.
"Lifetime of interference effects in collisional time-dependent Hartree-Fock dynamics"
. Physical Review C 26, no. 2
(1982) : 528-541.
http://dx.doi.org/10.1103/PhysRevC.26.528---------- MLA ----------
Dorso, C.O., Hernãndez, E.S.
"Lifetime of interference effects in collisional time-dependent Hartree-Fock dynamics"
. Physical Review C, vol. 26, no. 2, 1982, pp. 528-541.
http://dx.doi.org/10.1103/PhysRevC.26.528---------- VANCOUVER ----------
Dorso, C.O., Hernãndez, E.S. Lifetime of interference effects in collisional time-dependent Hartree-Fock dynamics. 1982;26(2):528-541.
http://dx.doi.org/10.1103/PhysRevC.26.528