The method of complex coordinate rotation and its applications to atomic collision processes

Physics Reports - Tập 99 - Trang 1-68 - 1983
Y.K. Ho1
1Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA

Tài liệu tham khảo

Aguilar, 1971, Commun. Math. Phys., 22, 269, 10.1007/BF01877510 Balslev, 1971, Commun. Math. Phys., 22, 280, 10.1007/BF01877511 Simon, 1972, Commun. Math. Phys., 27, 1, 10.1007/BF01649654 Feshbach, 1962, Ann. Phys. (N.Y.), 5, 287, 10.1016/0003-4916(62)90221-X Siegert, 1939, Phys. Rev., 56, 750, 10.1103/PhysRev.56.750 Taylor, 1970, Adv. Chem. Phys., 18, 91, 10.1002/9780470143650.ch3 Nuttall, 1972, Bull. Am. Phys. Soc., 17, 598 Doolen, 1975, J. Phys., B8, 525 G.D. Doolen, M. Hidalgo, J. Nuttall and R. Stagat, Atomic Physics 3 (Plenum, New York) p. 257. Raju, 1974, Phys. Rev., A9, 1965, 10.1103/PhysRevA.9.1965 Doolen, 1974, Phys. Rev., A10, 1612, 10.1103/PhysRevA.10.1612 1978, Int. J. Quantum Chem., Vol. 14 Nuttall, 1979, Comments Atomic Mol. Phys., 9, 15 Taylor, 1980, Comments Atomic and Mol. Phys., 9, 73 McCurdy, 1979, 299 Junker, 1982, Adv. Atom. and Mole. Phys., 18, 208 Reinhardt, 1982, Ann. Rev. Phys. Chem., 33, 223, 10.1146/annurev.pc.33.100182.001255 Taylor, 1972 Bardsley, 1978, Int. J. Quantum. Chem., 16, 343, 10.1002/qua.560140403 Chen, 1970, Nucl. Inst. and Meth., 90, 237, 10.1016/0029-554X(70)90677-4 Simons, 1980, Int. J. Quantum Chem. Symp., 14, 113 O'Malley, 1965, Phys. Rev., 137, A1344, 10.1103/PhysRev.137.A1344 Bhatia, 1975, Phys. Rev., A11, 2018, 10.1103/PhysRevA.11.2018 Chung, 1976, Phys. Rev., A13, 1655, 10.1103/PhysRevA.13.1655 Ho, 1977, Phys. Rev., A15, 1423, 10.1103/PhysRevA.15.1423 Drachman, 1977, Phys. Rev., A15, 1430, 10.1103/PhysRevA.15.1430 Yamabe, 1978, Advances in Quantum Chemistry, 11, 195, 10.1016/S0065-3276(08)60237-3 Henry, 1968, Phys. Rev., 178, 218, 10.1103/PhysRev.178.218 Mott, 1949, The Theory of Atomic Collisions, 146 Damburg, 1961, Phys. Rev. Lett., 20, 485, 10.1103/PhysRevLett.20.485 Damburg, 1971, 199 Geltman, 1971, 216 Seaton, 1974, J. Phys., B7, 1817 Crees, 1978, Comp. Phys. Commun., 15, 23, 10.1016/0010-4655(78)90082-6 Burke, 1975, Adv. Atom. Mole. Phys., 11, 143, 10.1016/S0065-2199(08)60030-5 Berrington, 1978, Comp. Phys. Commun., 14, 367, 10.1016/0010-4655(78)90004-8 Wigner, 1947, Phys. Rev., 72, 29, 10.1103/PhysRev.72.29 Smith, 1973, Phys. Rev., A7, 1585, 10.1103/PhysRevA.7.1585 Henry, 1981, Comp. Phys. Commun., 23, 233, 10.1016/0010-4655(81)90002-3 Henry, 1981, Phys. Reports, 68, 1, 10.1016/0370-1573(81)90121-6 Callaway, 1978, Phys. Reports, 45, 89, 10.1016/0370-1573(78)90048-0 Nesbet, 1980 Chan, 1973, J. Phys., B6, 2504 Collins, 1981, Phys. Rev., A24, 2387, 10.1103/PhysRevA.24.2387 Hazi, 1970, Phys. Rev., A1, 1109, 10.1103/PhysRevA.1.1109 Hazi, 1971, Chem. Phys. Lett., 8, 582, 10.1016/0009-2614(71)80099-4 Holoien, 1970, J. Phys., B3, 592 Perkins, 1969, Phys. Rev., 178A, 89, 10.1103/PhysRev.178.89 Hazi, 1978, J. Phys., B11, L259 Langhoff, 1979, 183 Chung, 1971, Phys. Rev. Lett., 27, 1112, 10.1103/PhysRevLett.27.1112 Chung, 1972, Phys. Rev., A6, 686, 10.1103/PhysRevA.6.686 Chung, 1979, Phys. Rev., A20, 1743, 10.1103/PhysRevA.20.1743 Altick, 1965, Phys. Rev. Lett., 15, 100, 10.1103/PhysRevLett.15.100 Lipsky, 1977, Atomic Data and Nucl. Data Tables, 20, 127, 10.1016/0092-640X(77)90042-0 Fano, 1975, Atom. Phys., 4, 47 Fano, 1983, Rep. on Prog. in Phys., 46, 97, 10.1088/0034-4885/46/2/001 Herrick, 1975, Phys. Rev., A11, 97, 10.1103/PhysRevA.11.97 Herrick, 1980, Phys. Rev., A21, 418, 10.1103/PhysRevA.21.418 Kellman, 1980, Phys. Rev., A22, 1536, 10.1103/PhysRevA.22.1536 Yu, 1981, Phys. Rev. Lett., 47, 497, 10.1103/PhysRevLett.47.497 Oksuz, 1976, Phys. Rev., A13, 1507, 10.1103/PhysRevA.13.1507 Erkoc, 1978, Phys. Scripta, 18, 175, 10.1088/0031-8949/18/3/005 Erkoc, 1979, J. Phys., B12, 705 Erkoc, 1977, Phys. Rev., A15, 1805, 10.1103/PhysRevA.15.1805 Nicolaides, 1977, Phys. Rev. Lett., 38, 683, 10.1103/PhysRevLett.38.683 Nicolaides, 1978, Int. J. Quantum. Chem., 14, 457, 10.1002/qua.560140411 Seaton, 1983, Rep. on Prog. in Phys., 46, 167, 10.1088/0034-4885/46/2/002 Amusia, 1981, Adv. Atom. Mol. Phys., 17, 52 Mills, 1981, Phys. Rev. Lett., 46, 717, 10.1103/PhysRevLett.46.717 Ho, 1979, Phys. Rev., A19, 2347, 10.1103/PhysRevA.19.2347 Ho, 1981, Phys. Rev., A23, 2137, 10.1103/PhysRevA.23.2137 Y.K. Ho, unpublished. Yaris, 1978, J. Phys., B11, 1475 Brandas, 1977, Phys. Rev., A16, 2202 Moiseyev, 1978, Mol. Phys., 36, 1613, 10.1080/00268977800102631 Moiseyev, 1978, Int. J. Quantum Chem., 14, 727, 10.1002/qua.560140604 Moiseyev, 1979, Phys. Rev., A20, 27, 10.1103/PhysRevA.20.27 Wilkinson, 1965 1982 Doolen, 1978, J. Nuttall, 40, 313 Chu, 1977, Phys. Rev. Lett., 77, 1195, 10.1103/PhysRevLett.39.1195 Smith, 1962, Phys. Rev., 125, 553, 10.1103/PhysRev.125.553 Burke, 1962, Phys. Rev., 126, 147, 10.1103/PhysRev.126.147 Schulz, 1964, Phys. Rev. Lett., 13, 583, 10.1103/PhysRevLett.13.583 Burke, 1968, 128 Burke, 1969, J. Phys., B2, 1142 Callaway, 1978, Phys. Lett., 45A, 315, 10.1016/0375-9601(78)90516-9 Shimamura, 1971, J. Phys. Soc. Jap., 30, 1702, 10.1143/JPSJ.30.1702 Das, 1976, J. Phys., B9, L13 Register, 1975, Phys. Lett., 51A, 431, 10.1016/0375-9601(75)90759-8 Bhatia, 1972, Phys. Rev., A6, 120, 10.1103/PhysRevA.6.120 Conneely, 1978, J. Phys., B11, 4135 Bhatia, 1977, Phys. Rev., A15, 1315, 10.1103/PhysRevA.15.1315 Burke, 1968, 4, 173 Schulz, 1973, Rev. Mod. Phys., 45, 378, 10.1103/RevModPhys.45.378 Williams, 1978, 1031 Risley, 1979, Atomic Physics, 6, 223 Golden, 1980, Adv. At. Mol. Phys., 9, 73 McDowell, 1976, 341 Callaway, 1981, Comments Atom. Mol. Phys., 10, 279 Bardsley, 1972, J. Phys., B5, L187 Sanche, 1972, Phys. Rev. Lett., 29, 1639, 10.1103/PhysRevLett.29.1639 Wendoloski, 1978, Phys. Rev., A17, 195, 10.1103/PhysRevA.17.195 Bryant, 1977, Phys. Rev. Lett., 38, 228, 10.1103/PhysRevLett.38.228 Cram, 1978, Phys. Rev. Lett., 40, 107, 10.1103/PhysRevLett.40.107 Hamm, 1979, Phys. Rev. Lett., 43, 1715, 10.1103/PhysRevLett.43.1715 McGowan, 1969, Phys. Rev., 180, 132, 10.1103/PhysRev.180.132 Williams, 1976, J. Phys., B9, 1519 Macek, 1967, 92, 365 Macek, 1972, 92, 351 Wishart, 1979, J. Phys., B12, 3511 Broad, 1976, Phys. Rev., A14, 2159, 10.1103/PhysRevA.14.2159 Callaway, 1982, Phys. Rev., A26, 199, 10.1103/PhysRevA.26.199 Wulfman, 1976, Chem. Phys. Lett., 40, 137, 10.1016/0009-2614(76)80137-6 Lin, 1975, Phys. Rev. Lett., 35, 1150, 10.1103/PhysRevLett.35.1150 Ajmera, 1975, Phys. Rev., A12, 475, 10.1103/PhysRevA.12.475 Reinhardt, 1979, 729 Callaway, 1978, J. Phys., B11, L289 Morgan, 1977, J. Phys., B10, 3297 Chung, 1972, Phys. Rev., A6, 1809, 10.1103/PhysRevA.6.1809 Oberoi, 1972, J. Phys., B5, 1120 Greene, 1980, J. Phys., B13, L39 Lin, 1982, Phys. Rev., A25, 1535, 10.1103/PhysRevA.25.1535 Ho, 1977, J. Phys., B10, L373 Ho, 1980, Phys. Lett., 77A, 147, 10.1016/0375-9601(80)90175-9 Ho, 1981, 209 Ho, 1983, Phys. Rev., A27, 1887, 10.1103/PhysRevA.27.1887 Ho, 1979, J. Phys., B12, L543 Hata, 1980, J. Phys., B13, 4453 Gailitis, 1963, 82, 192 Gailitis, 1963, Soviet Phys. JETP, 17, 1107 Iachella, 1981, Phys. Rev. Lett., 47, 501, 10.1103/PhysRevLett.47.501 Read, 1981, Atom. Phys., 7, 429 Wulfman, 1973, Chem. Phys. Lett., 23, 370, 10.1016/0009-2614(73)85100-0 Herrick, 1980, Phys. Rev., A22, 1517, 10.1103/PhysRevA.22.1517 Wigner, 1937, Phys. Rev., 51, 106, 10.1103/PhysRev.51.106 GellMann, 1964, The Eightfold Way, 138 Elliott, 1958, A245, 128 Hicks, 1975, J. Phys., B8, 1866 Gelebart, 1976, J. Phys., B9, 1739 Oda, 1977, Phys. Rev., A15, 574, 10.1103/PhysRevA.15.574 Madden, 1965, Astrophys. J., 141, 364, 10.1086/148132 Dhez, 1973, J. Phys., B6, L59 Bordenave-Montesquieu, 1973, J. Phys., B6, 1997 Kuyatt, 1965, Phys. Rev., A138, 385, 10.1103/PhysRev.138.A385 Brooks, 1980, Phys. Rev., A22, 529, 10.1103/PhysRevA.22.529 P.J. Hicks, J. Comer and F.H. Read, Proc. 9th ICPEAC (Seattle, University of Washington) Abstracts, pp. 201-202. Bransden, 1970 Autoionization II, ed. A. Temkin (in press). Davis, 1982, Phys. Rev., A26, 2743, 10.1103/PhysRevA.26.2743 Chung, 1980, Phys. Rev., A22, 835, 10.1103/PhysRevA.22.835 Lipsky, 1976, Phys. Rev., A14, 2193, 10.1103/PhysRevA.14.2193 Holoien, 1971, J. Phys., B4, 32 Wakid, 1980, Phys. Lett., 78A, 137, 10.1016/0375-9601(80)90677-5 Ho, 1979, J. Phys., B12, 382 Ho, 1980, Phys. Lett., 79A, 44, 10.1016/0375-9601(80)90313-8 Ho, 1982, J. Phys., B15, L691 Woodruff, 1982, Phys. Rev., A25, 848, 10.1103/PhysRevA.25.848 Cooper, 1963, Phys. Rev. Lett., 10, 518, 10.1103/PhysRevLett.10.518 Bruch, 1975, Phys. Rev., A12, 1808, 10.1103/PhysRevA.12.1808 Ziem, 1975, J. Phys., B8, L480 Rodbro, 1979, J. Phys., B12, 2413 Carroll, 1977, Phys. Rev. Lett., 38, 1068, 10.1103/PhysRevLett.38.1068 Bhatia, 1977, Phys. Rev., A15, 1315, 10.1103/PhysRevA.15.1315 Moiseyev, 1979, Phys. Rev., A20, 27, 10.1103/PhysRevA.20.27 Doschek, 1971, Astrophys. J., 164, 165, 10.1086/150827 Walker, 1971, Astrophys. J., 164, 181, 10.1086/150828 Dufton, 1981, Adv. Atom. and Mol. Phys., 17, 355, 10.1016/S0065-2199(08)60072-X Hayes, 1978, J. Phys., B11, L79 Aub-Salbi, 1981, Phys. Rev., A24, 2372, 10.1103/PhysRevA.24.2372 Mittleman, 1966, Phys. Rev., 152, 76, 10.1103/PhysRev.152.76 Seiler, 1971, Phys. Rev., A3, 2006, 10.1103/PhysRevA.3.2006 Drachman, 1975, Phys. Rev., A12, 340, 10.1103/PhysRevA.12.340 Shimamura, 1975, J. Phys., B8, 2352 Hahn, 1974, Phys. Rev., A10, 2512, 10.1103/PhysRevA.10.2512 Wakid, 1975, Phys. Lett., 54A, 103, 10.1016/0375-9601(75)90625-8 Choo, 1978, J. Phys., B11, 1313 Doolen, 1978, Int. J. Quantum Chem., 14, 523, 10.1002/qua.560140414 Bhatia, 1972, Phys. Rev., A3, 1328 Page, 1974, J. Phys., B7, 1389 Ho, 1978, Phys. Rev., A17, 1675, 10.1103/PhysRevA.17.1675 Drachman, 1978, 109 Drachman, 1982, Can. J. Phys., 60, 494, 10.1139/p82-067 Drachman, 1975, Phys. Rev., A12, 885, 10.1103/PhysRevA.12.885 Drachman, 1976, Phys. Rev., A12, 894, 10.1103/PhysRevA.14.894 Drachman, 1979, Phys. Rev., A19, 1900, 10.1103/PhysRevA.19.1900 Rescigno, 1978, Phys. Rev., A17, 1931, 10.1103/PhysRevA.17.1931 Junker, 1978, Phys. Rev., A18, 313, 10.1103/PhysRevA.18.313 Junker, 1978, Phys. Rev., A18, 2437, 10.1103/PhysRevA.18.2437 Junker, 1978, Int. J. Quantum Chem., 14, 371, 10.1002/qua.560140406 Bain, 1974, J. Phys., B7, 2189 Pekeris, 1959, Phys. Rev., 115, 1216, 10.1103/PhysRev.115.1216 Kennerly, 1981, Phys. Rev., A23, 2430, 10.1103/PhysRevA.23.2430 Bardsley, 1966, 89, 321 Bardsley, 1979, 267 Isaacson, 1979, Chem. Phys. Lett., 62, 374, 10.1016/0009-2614(79)80200-6 Isaacson, 1978, Chem. Phys. Lett., 34, 311 Yaris, 1979, Chem. Phys., 43, 29, 10.1016/0301-0104(79)80103-2 Winkler, 1981, Phys. Rev., A23, 1787, 10.1103/PhysRevA.23.1787 Palmquist, 1981, Phys. Rev., A23, 1795, 10.1103/PhysRevA.23.1795 Simons, 1981, J. Chem. Phys., 75, 2465, 10.1063/1.442271 Moiseyev, 1981, Phys. Rev., A24, 1254, 10.1103/PhysRevA.24.1254 Chung, 1982, Phys. Rev., A26, 3278, 10.1103/PhysRevA.26.3278 Junker, 1980, Phys. Rev. Lett., 44, 1487, 10.1103/PhysRevLett.44.1487 Junker, 1980, Int. J. Quantum Chem. Symp., 14, 53 Junker, 1982, J. Phys., B15, 4495 McCurdy, 1980, J. Chem. Phys., 73, 3268, 10.1063/1.440522 Rescigno, 1980, J. Chem. Phys., 73, 6347, 10.1063/1.440100 McCurdy, 1981, J. Chem. Phys., 75, 1835, 10.1063/1.442207 Christoffel, 1981, J. Chem. Phys., 76, 5370, 10.1063/1.442936 McCurdy, 1981, 383 McNutt, 1983, Phys. Rev., A27, 132, 10.1103/PhysRevA.27.132 Mishra, 1981, Phys. Lett., 84A, 4, 10.1016/0375-9601(81)90003-7 Mishra, 1981, Chem. Phys. Lett., 81, 339, 10.1016/0009-2614(81)80265-5 McCurdy, 1978, Phys. Rev. Lett., 41, 1364, 10.1103/PhysRevLett.41.1364 Moiseyev, 1979, Phys. Rev., A20, 814, 10.1103/PhysRevA.20.814 Simon, 1979, Phys. Lett., 71A, 211, 10.1016/0375-9601(79)90165-8 Morgan, 1981, J. Phys., B14, L167 McCurdy, 1980, Phys. Rev., A21, 464, 10.1103/PhysRevA.21.464 Moiseyev, 1981, Int. J. Quantum Chem., 20, 835, 10.1002/qua.560200407 Moiseyev, 1981, Mol. Phys., 42, 129, 10.1080/00268978100100111 Reinhardt, 1976, Int. J. Quantum Chem. Symp., 10, 359, 10.1002/qua.560100840 Cerjan, 1978, J. Phys., B11, L201 Herbst, 1980, Commun. Math. Phys., 75, 197, 10.1007/BF01212708 Herbst, 1981, Commun. Math. Phys., 80, 181, 10.1007/BF01213010 Chu, 1978, Chem. Phys. Lett., 58, 462, 10.1016/0009-2614(78)85076-3 Chu, 1979, Chem. Phys. Lett., 64, 178, 10.1016/0009-2614(79)87304-2 Cerjan, 1978, Int. J. Quant. Chem., 14, 393, 10.1002/qua.560140408 Reinhardt, 1979, Computer Phys. Comm., 17, 1, 10.1016/0010-4655(79)90064-X Burker, 1981, J. Phys., B14, 289 Reinhardt, 1982, Int. J. Quantum Chem., 21, 133, 10.1002/qua.560210110 Bender, 1968, Phys. Rev. Lett., 21, 406, 10.1103/PhysRevLett.21.406 Oza, 1983, Phys. Rev., A27, 2840, 10.1103/PhysRevA.27.2840 Broad, 1974, J. Chem. Phys., 60, 2182, 10.1063/1.1681334 Rescigno, 1975, Phys. Rev., A12, 522, 10.1103/PhysRevA.12.522 Rescigno, 1976, J. Chem. Phys., 64, 477, 10.1063/1.432263 Sukumar, 1978, J. Phys., B11, 4155 McCurdy, 1980, Phys. Rev., A21, 1499, 10.1103/PhysRevA.21.1499 McCurdy, 1979, Phys. Rev., A20, 2347 Yaris, 1979, Chem. Phys. Lett., 3, 505, 10.1016/0009-2614(79)80327-9 Bacic, 1982, Int. J. Quantum Chem., 21, 727, 10.1002/qua.560210407 Noro, 1980, J. Phys., B13, L377 1966, 67 Fraser, 1961, 78, 329 Nuttall, 1978, Int. J. Quantum Chem., 14, 519, 10.1002/qua.560140413 Schlessinger, 1966, Phys. Rev. Lett., 16, 1173, 10.1103/PhysRevLett.16.1173 Nuttall, 1969, Phys. Rev., 188, 1542, 10.1103/PhysRev.188.1542 McDonald, 1969, Phys. Rev. Lett., 23, 361, 10.1103/PhysRevLett.23.361 Winick, 1978, Phys. Rev., A18, 910, 10.1103/PhysRevA.18.910 Winick, 1978, Phys. Rev., A18, 925, 10.1103/PhysRevA.18.925 Taylor, 1972, Phys. Rev. Lett., 28, 1091, 10.1103/PhysRevLett.28.1091 Thomas, 1974, J. Phys., B7, L97 Peart, 1973, J. Phys., B6, 1497 Peart, 1973 Simon, 1974, Math. Ann., 207, 133, 10.1007/BF01362152 Hunziker, 1977, 224 Simon, 1978, Int. J. Quantum Chem., 14, 529, 10.1002/qua.560140415 Lovelace, 1964 Perry, 1981, Commun. Math. Phys., 61, 243, 10.1007/BF01208898 Nuttall, 1980, Commun. Math. Phys., 72, 1, 10.1007/BF01200107 Doolen, 1975, Phys. Rev., A12, 1121, 10.1103/PhysRevA.12.1121 Schneider, 1981, Phys. Rev., A24, 1, 10.1103/PhysRevA.24.1